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Free Texas Instruments TI-89 manuals!
# Texas Instruments TI-89 User Manual

## Texas Instruments TI-89 - Graphing Calculator Manual

### Texas Instruments TI-89 manual table of contents:

- Texas Instruments TI-89 | User Manual - Page 1

TI-89 Titanium Graphing Calculator - Texas Instruments TI-89 | User Manual - Page 2

... receiving antenna. Increase the separation between the equipment and receiver. Connect the equipment into an outlet on a circuit different from that to which the receiver is connected. TI-89 Titanium Graphing Calculator 2 - Texas Instruments TI-89 | User Manual - Page 3

... by Texas Instruments may void your authority to operate the equipment. © 2005 Texas Instruments Incorporated Windows and Macintosh are trademarks of their respective owners. TI-89 Titanium Graphing Calculator 3 - Texas Instruments TI-89 | User Manual - Page 4

Getting Started Initial start-up Installing the AAA Batteries The TI-89 Titanium uses four AAA alkaline batteries and a backup silver oxide battery (SR44SW or 303). The backup battery is already installed, and the AAA batteries are provided with the product. 1. Remove ... - Texas Instruments TI-89 | User Manual - Page 5

Turning on your TI-89 Titanium for the first time After installing the batteries included with the calculator, press ´. The Apps desktop appears. Note: ... desktop The Apps desktop is the starting point for operating your TI-89 Titanium. Your installed Apps appear on the Apps desktop... - Texas Instruments TI-89 | User Manual - Page 6

... highlighted App. View and edit the time and date. Check status line information. View split-screen mode information TI-89 Titanium Apps desktop Ê View full name of highlighted App. Ë View time and date. Ì Press ¸ to open highlighted App.... - Texas Instruments TI-89 | User Manual - Page 7

...appears.) You can use either of the following keys to turn off the TI-89 Titanium. Press: Description ... You cannot, however, use 2 ® if an error message is displayed. When you turn the TI-89 Titanium on ...• You can use ¥ ® if an error message is displayed. • When you turn the TI-89 Titanium on ... - Texas Instruments TI-89 | User Manual - Page 8

...„¢) feature prolongs battery life by turning the calculator off automatically following several minutes of inactivity. When you turn on the calculator after APD: • • The display, cursor, and any error ...: APD does not occur if a calculation or program is in progress, unless the program is paused.... - Texas Instruments TI-89 | User Manual - Page 9

TI-89 Titanium keys Ê Í Ë Ì Getting Started 9 - Texas Instruments TI-89 | User Manual - Page 10

TI-89 Titanium keys Ê Function keys (ƒ- - Texas Instruments TI-89 | User Manual - Page 11

Example: Enter the right arrow symbol (→) in the Text Editor. Press Result 2G 4 Scroll down for more characters. 9 - or - Press D repeatedly to select 9:→ and press ¸ Symbol displayed at cursor location. To open the keyboard map, press 8 ". The keyboard map appears. Getting Started 11 - Texas Instruments TI-89 | User Manual - Page 12

To type most characters, press 8 and the corresponding key. Press N to close the map. Example: Use the keyboard map to find the "not equal to" symbol (ƒ) shortcut and enter the symbol in the Program Editor. Press Result 8" ¥Á Symbol displayed at cursor location. Getting Started 12 - Texas Instruments TI-89 | User Manual - Page 13

... corresponding keys in the same color as the 8 key. Types an uppercase character for the next letter key you press. Also used with A and B to highlight characters when editing. Lets you type alphabetic characters without a QWERTY keypad. Alpha characters are printed above their corresponding keys in... - Texas Instruments TI-89 | User Manual - Page 14

... where you can manage variables and Apps. Press Result 2° Function keys Use the function keys to perform the following operations On the Apps desktop, open Apps and select or edit Apps categories. On the calculator Home screen, open toolbar menus to select math-related operations. ... - Texas Instruments TI-89 | User Manual - Page 15

... with up to three digits. (As the following example shows, you can use a negative exponent.) Example: On the calculator Home screen, enter 0.00685 using scientific notation. Press 6¶85 Result ^ ?3 ¸ Other important keys Key Command Description ... - Texas Instruments TI-89 | User Manual - Page 16

Key Command Description Displays the Window Editor. Displays the Graph screen. Sets parameters for the Table screen. Displays the Table screen....operation. Displays the Apps desktop. With the Apps desktop off, displays the FLASH APPLICATIONS menu. Switches between the last two chosen Apps. Turns the ... - Texas Instruments TI-89 | User Manual - Page 17

... 2K • Mode settings Modes control how the TI-89 Titanium displays and interprets information. ... displayed according to the current mode settings. When the TI-89 Titanium is turned off, the Constant Memory™ ...settings you have selected. To view the TI-89 Titanium mode settings: Getting Started ... - Texas Instruments TI-89 | User Manual - Page 18

1. Press 3. Page 1 of the MODE dialog box appears. 2. Press „ or ...to display the modes listed on Page 2 or Page 3. Note: Modes that are grayed out are available only if other required mode settings are selected. For example, the Custom Units mode listed on Page 3 is available only if the Unit ... - Texas Instruments TI-89 | User Manual - Page 19

Press Result ... Changing mode settings Example: Change the Language mode setting to Spanish (Español). Press Result 3 ... Getting Started 19 - Texas Instruments TI-89 | User Manual - Page 20

Press Scroll down to the Language field. Result D Press B and then press D until 3:Español is highlighted. Note: Your menu list might vary, depending on the languages installed. ¸ Getting Started 20 - Texas Instruments TI-89 | User Manual - Page 21

.... Using the Catalog to access commands Use the Catalog to access a list of TI-89 Titanium commands, including functions, instructions, and user-defined programs. Commands ...option is grayed out if no Flash applications are installed on your TI-89 Titanium; the User-Defined ( - Texas Instruments TI-89 | User Manual - Page 22

Note: Typing a letter takes you to the first command in the list starting with the same letter. Press Result ½ (displays Built-in commands) ...(displays Flash Apps commands, if any) - Texas Instruments TI-89 | User Manual - Page 23

Example: Insert the comDenom( command on the calculator Home screen entry line. Note: Before selecting a command, position the cursor where you want the command to appear. Pressing 2 D advances the Catalog list one page at a time. Press Result ½C 2D Then press D ... - Texas Instruments TI-89 | User Manual - Page 24

...Catalog without selecting a command, press N. Calculator Home screen The calculator Home screen is the starting ... expressions, and viewing results. To display the calculator Home screen, press: " You can also display the calculator Home screen from the Apps desktop by highlighting the Home icon and ... - Texas Instruments TI-89 | User Manual - Page 25

... are not displayed on the entry line.) Í Status line shows the current state of the calculator. Î Entry line displays your current entry. Ï Your previous entry is displayed here. To return to the Apps desktop from the calculator Home screen, press O. Ì Getting Started 25 - Texas Instruments TI-89 | User Manual - Page 26

..., information scrolls off the top of the screen. Use the history area to: • • Review previous entries and answers. Use the cursor keys to view entries and answers that ... edit. (For more information, see the electronic Operating the Calculator chapter.) The cursor, which normally rests on ... - Texas Instruments TI-89 | User Manual - Page 27

...Modifying the history area To change the number of pairs that can be saved: 1. From the calculator Home screen, press ƒ and select 9:Format. 2. Press B and use C or D... the history area and delete all saved pairs: • From the calculator Home screen, press ƒ and select 8:Clear Home.... - Texas Instruments TI-89 | User Manual - Page 28

... entry line. To delete an entry/answer pair, move the cursor to either the entry or answer, and press 0 or M. Working with Apps The TI-89 Titanium organizes Apps by category on the Apps desktop. To select a category, press a function key ( „ through 2 - Texas Instruments TI-89 | User Manual - Page 29

Option New Description Creates a new file with the name typed in the field. Select an option, enter any required information, and press ¸. The App appears. Example: Create a new program using the Program Editor. Press Use cursor keys to highlight Result ¸ 3 Getting Started 29 - Texas Instruments TI-89 | User Manual - Page 30

Press Result ¸ DD program1 ¸¸ The newly created program variable, program1, is saved to the Main folder. Getting Started 30 - Texas Instruments TI-89 | User Manual - Page 31

...screen mode, press 2 K twice. To return to the last open App from the Apps desktop, press 2 a. Selecting an Apps category On the TI-89 Titanium, the Apps category names appear only in the F1 Menu. To select an Apps category, press ƒ 2:Select Category and use ... - Texas Instruments TI-89 | User Manual - Page 32

Key Description Customizable category. Graphing is the default. Customizable category. Science is the default. Customizable category. Organizr (organizer) is the default. 2 ˆ Graphing 2 ‰ Science 2 - Texas Instruments TI-89 | User Manual - Page 33

Customizing the Apps categories The TI-89 Titanium organizes your Apps into seven categories, six of which you can customize to fit your individual needs. (The All category contains every installed App and cannot be edited.) To customize the ...through 2 - Texas Instruments TI-89 | User Manual - Page 34

Example: Replace the Social Studies category with the Business category and add the CellSheet and Finance App shortcuts. Press Result ƒ B D¸ 2 - or - Getting Started 34 - Texas Instruments TI-89 | User Manual - Page 35

Press Result 2™ ¤Business D © B D © B Getting Started 35 - Texas Instruments TI-89 | User Manual - Page 36

Press Result ¸ - Texas Instruments TI-89 | User Manual - Page 37

Top-bottom split screen To return to the Apps desktop, press O. The split-screen status appears at the top of the Apps desktop with the names of the open Apps and the portions of the screen in which each is displayed. The highlighted numeral indicates the split-screen portion where the next App ... - Texas Instruments TI-89 | User Manual - Page 38

... line, located at the bottom of the screen, for information about the current state of your TI-89 Titanium. Ê Indicator Ë Ì Í Î Ï Ð Ñ Ò Meaning Name of the selected folder (MAIN is the default folder.) Selected modifier key (2, 8, 7), if any. ... - Texas Instruments TI-89 | User Manual - Page 39

... Meaning 30, maximum is 99) in the history area of the calculator Home screen. Ð Entry/Answer pairs 22/...black background, change the batteries as soon as possible ( ). BUSY-Calculation or graph is in progress PAUSE-You paused a graph or program Œ-Variable opened in the current editor is locked or... - Texas Instruments TI-89 | User Manual - Page 40

... ... DDBC ¸¸ Note: The previous open App appears (in this example, the calculator Home screen). To turn on the Apps desktop, repeat the procedure,... field. To return to the Apps desktop from the calculator Home screen, press O. Using the clock Use the CLOCK dialog box to set the time and date, ... - Texas Instruments TI-89 | User Manual - Page 41

... Clock dialog box options except Clock ON/OFF are grayed out. 6 indicates you can scroll down for more options) Displaying the CLOCK dialog box 1. Use the cursor keys to highlight the Clock icon on the Apps desktop. 2. Press ¸. The CLOCK dialog box appears with the Time Format field highlighted. ... - Texas Instruments TI-89 | User Manual - Page 42

6. If the time format is 24 hours, proceed to step 9. - or - If the time format is 12 hours, press D to highlight the AM/PM field. 7. Press B to open the list of AM/PM options. 8. Press C or D to highlight an AM/PM option, then press ¸. The selected AM/PM option appears. 9. Set the date (for ... - Texas Instruments TI-89 | User Manual - Page 43

9. Type the day, then press ¸ ¸ to save your settings and exit. The date is updated in the top right corner of the Apps desktop. Example: Set the time and date to 19/10/02 (October 19, 2002) at 1:30 p.m. Press Use cursor keys to highlight Time and date Result ¸ D1D Getting Started 43 - Texas Instruments TI-89 | User Manual - Page 44

Press 30D Result BD ¸D Getting Started 44 - Texas Instruments TI-89 | User Manual - Page 45

Press Result BD ¸D 2002 Getting Started 45 - Texas Instruments TI-89 | User Manual - Page 46

Press Result DB Scroll down to October and press ¸ D19 Getting Started 46 - Texas Instruments TI-89 | User Manual - Page 47

Press Result Revised time and date ¸¸ Turning off the clock From the Apps desktop, open the CLOCK dialog box and select OFF in the Clock field. Example: Turn off the clock. Press Use cursor keys to highlight Clock on Result Getting Started 47 - Texas Instruments TI-89 | User Manual - Page 48

Press Result ¸ Scroll down to the Clock field. BC¸ ¸ Clock off To turn on the clock, repeat the procedure, selecting ON in the Clock field. Remember to reset the time and date. Getting Started 48 - Texas Instruments TI-89 | User Manual - Page 49

Using menus To select most TI-89 Titanium menus, press the function keys corresponding to the toolbars at the top of the ... screen and most App screens. Select other menus using key commands. Toolbar menus The starting point for TI-89 Titanium math operations, the calculator Home screen displays ... - Texas Instruments TI-89 | User Manual - Page 50

Press To display APPLICATIONS menu. Lists the installed Apps. (Menu is available only when the Apps desktop is turned off; Apps are normally accessed from the Apps desktop.) FLASH APPLICATIONS menu. Lists the installed Flash Apps. (Menu is available only when Apps ... - Texas Instruments TI-89 | User Manual - Page 51

Example: Select factor( from the Algebra menu on the calculator Home screen. Press Press: Result " - or - From the Apps desktop, use the cursor keys to highlight and press ¸ „ 6 indicates Algebra menu will open when you press „. 2 D¸ - or - Getting Started 51 - Texas Instruments TI-89 | User Manual - Page 52

Selecting submenu options A small arrow symbol (ú) to the right of a menu option indicates that selecting the option will open a submenu. $ points to additional options. Example: Select ord( from the MATH menu on the calculator Home screen. Press Result 2I Getting Started 52 - Texas Instruments TI-89 | User Manual - Page 53

Press D - or - Result CCB C¸ B - or - Using dialog boxes An ellipsis (...) at the end of a menu option indicates that choosing the option will open a dialog box. Select the option and press ¸. Getting Started 53 - Texas Instruments TI-89 | User Manual - Page 54

Example: Open the SAVE COPY AS dialog box from the Window Editor. Press Result O Use the cursor keys to highlight and press ¸ ƒ D¸ 2 - or - Press B to display a list of folders. Type the name of the variable. Press ¸ twice to save and Getting Started 54 - Texas Instruments TI-89 | User Manual - Page 55

Note: Pressing the 8 S key shortcut also opens the SAVE COPY AS dialog box in most Apps. Canceling a menu To cancel a menu without making a selection, press N. Moving among toolbar menus To move among the toolbar menus without selecting a menu option: • • Press the function key ( ƒ through - Texas Instruments TI-89 | User Manual - Page 56

...custom menu replaces the standard toolbar menu on the calculator Home screen. (For details on creating a custom... about custom menus. (See the electronic Operating the Calculator chapter.) Example: Turn on and turn off the custom menu from the calculator Home screen. Press Result Default custom menu... - Texas Instruments TI-89 | User Manual - Page 57

Note: Restoring the default custom menu erases the previous custom menu. If you created the previous custom menu with a program, you can run the program again to reuse the menu. Press Result 2F (to turn off the custom menu and turn on the standard toolbar menu) 2ˆ DD¸ 3 - or - Getting ... - Texas Instruments TI-89 | User Manual - Page 58

... If you turn off the Apps desktop, use the APPLICATIONS menu to open Apps. To open the... desktop turned on, the Apps desktop will appear instead of the APPLICATIONS menu. Example: With the Apps desktop turned off, open the Window Editor from the APPLICATIONS menu. Press Result O Getting Started 58 - Texas Instruments TI-89 | User Manual - Page 59

... DD¸ To access Apps not listed on the APPLICATIONS menu, select 1:FlashApps. Using split screens The TI-89 Titanium lets you split the screen to show two Apps at the same time. For example, display both the Y= Editor and Graph screens ... - Texas Instruments TI-89 | User Manual - Page 60

Example: Set split-screen mode to TOP-BOTTOM. Press Result 3 „ BD Getting Started 60 - Texas Instruments TI-89 | User Manual - Page 61

Press Result ¸ ¸ Setting the initial Apps for split screen After you select either TOP-BOTTOM or LEFT-RIGHT split-screen mode, additional mode settings become available. Full-screen mode Split-screen mode Getting Started 61 - Texas Instruments TI-89 | User Manual - Page 62

... split screen. Lets you set up and display two independent graphs. Number of Graphs To set the initial App for each split-screen portion: 1. Select the... App mode setting. Example: screen. Display the Y= Editor in the top screen and the Graph App in the bottom Press Result DB Getting Started 62 - Texas Instruments TI-89 | User Manual - Page 63

Press 2 Result DB 4 ¸ Getting Started 63 - Texas Instruments TI-89 | User Manual - Page 64

... you set Split 1 App and Split 2 App to the same nongraphing App or to the same graphing App with Number of Graphs set to 1, the TI-89 Titanium exits split-screen mode and displays the App in full-screen mode. Selecting the active App In split-screen ... - Texas Instruments TI-89 | User Manual - Page 65

... operating system (OS) versions Using the TI-89 Titanium connectivity features, you can ... and the USB computer cable that came with your TI-89 Titanium. For system requirements and ... you will be asked to provide information about your TI-89 Titanium. You will find this information on the ABOUT screen.... - Texas Instruments TI-89 | User Manual - Page 66

...3:About from the Apps desktop. The ABOUT screen displays the following information about your TI-89 Titanium OS version Ë Hardware version Ì Unit ID (required to obtain certificates for installing purchased Apps). Similar to a serial number.... - Texas Instruments TI-89 | User Manual - Page 67

Deleting an Application Deleting an application removes it from the TI-89 Titanium and increases space for other applications. Before deleting an application, consider storing it on a computer for reinstallation later. 1. Quit the... - Texas Instruments TI-89 | User Manual - Page 68

... or an I/O unit-to-unit cable to connect the TI-89 Titanium to a compatible graphing calculator or peripheral device, such as a ...- Use the accessory port to connect the TI-Presenter™ video adapter to the teacher model of the TI-89 Titanium. The TI-Presenter video adapter provides a video interface ... - Texas Instruments TI-89 | User Manual - Page 69

USB port Accessory port I/O port TI-89 Titanium ports (teacher model) Batteries The TI-89 Titanium uses four AAA alkaline batteries and a backup silver oxide battery (SR44SW or... in OS download mode, the APD feature does not function. If you leave your calculator in download mode... - Texas Instruments TI-89 | User Manual - Page 70

You can also transfer the OS to another TI-89 Titanium using a USB unit-to-unit cable . If you accidentally interrupt the transfer before it is complete, you ... within the reach of children. Do not mix new and used batteries. Do not mix brands (or types within brands) of ... - Texas Instruments TI-89 | User Manual - Page 71

... information. Indicator Meaning Batteries are low. Replace batteries as soon as possible. Before replacing the batteries, turn off the TI-89 Titanium by pressing 2 ® to avoid losing information stored in memory. Do not remove both the back-up battery and the ... - Texas Instruments TI-89 | User Manual - Page 72

Replacing the backup (silver oxide) battery 1. To replace the silver oxide backup battery, remove the battery cover and unscrew the tiny screw holding the BACK UP BATTERY cover in place. 2. Remove the old battery and install a new SR44SW or 303 battery, positive (+) side up. Replace the cover and ... - Texas Instruments TI-89 | User Manual - Page 73

... you to perform from the Calculator Home screen that demonstrate some of the computational features of the TI-89 Titanium. The history area in each screen was cleared by pressing ƒ and selecting 8:Clear Home, before performing each example, to illustrate ... - Texas Instruments TI-89 | User Manual - Page 74

... and keystrokes Display Compute the factorial of several numbers to see how the TI-89 Titanium handles very large integers. To get ... Steps and keystrokes Display Compute (3+5i) 3 to see how the TI-89 Titanium handles computations involving complex numbers. Press c 3 « 5 2 ) d Z 3 ¸ Previews 74 - Texas Instruments TI-89 | User Manual - Page 75

... Display Find the root of the expression (x,y). You can enter "root" on the entry line by typing ROOT on the keyboard, or by pressing 8 9. This example illustrates using the root function and how the expression is displayed in "pretty print" in the history area. Press 8 9 X b Y d ¸ Previews 75 - Texas Instruments TI-89 | User Manual - Page 76

Expanding Expressions Steps and keystrokes Display Expand the expression (xN5) 3. You can enter "expand" on the entry line by typing EXPAND on the keyboard, or by pressing „ and selecting 3:expand(. Press „ 3 c X | 5 d Z 3 d ¸ (Optional) Enter other expressions on your own. Reducing ... - Texas Instruments TI-89 | User Manual - Page 77

Factoring Polynomials Steps and keystrokes Display Factor the polynomial (x 2N5) with respect to x. You can enter "factor" on the entry line by typing FACTOR on the keyboard or by pressing „ and selecting 2:factor(. Press „ 2 X Z 2 | 5 b X d ¸ Solving Equations Steps and keystrokes Display ... - Texas Instruments TI-89 | User Manual - Page 78

Solving Equations with a Domain Constraint Steps and keystrokes Display Solve the equation x 2N2xN6=2 with respect to x where x is greater than zero. The "with" (I) operator provides domain constraint. Press „ 1 X Z 2 | 2 X | 6 Á 2 b X d Í X2Ã0¸ Solving Inequalities Steps and keystrokes ... - Texas Instruments TI-89 | User Manual - Page 79

... Display Find the derivative of (xNy) 3/(x+y)2 with respect to x. This example illustrates using the calculus differentiation function and how the function is displayed ... is defined implicitly in terms of another. This example illustrates using the calculus implicit derivative function. Press ...D X... - Texas Instruments TI-89 | User Manual - Page 80

...Display Find the integral of x...sin(x) with respect to x. This example illustrates using the calculus integration function. Press 2 < X p 2 W X d b X d ¸ Solving Problems Involving Vectors Steps and keystrokes Display 1. Input a row or column of ... - Texas Instruments TI-89 | User Manual - Page 81

Log to Any Base Steps and keystrokes Display Find log (x,b). You can enter "log" on the entry line by typing LOG on the keyboard, or by pressing 8 7. Press 8 7 X , j b d ¸ Converting Angle Measures Steps and keystrokes Display 1. Display the MODE dialog box. For Angle mode select DEGREE. ... - Texas Instruments TI-89 | User Manual - Page 82

... the Math menu by pressing 2 I and selecting 2:angle, B:úRad. Press 3 D D D B 2 ¸ 345 2 v2I2 jB ¸ Note: You can also use ó,ô, or G to override the angle mode setting temporarily. Symbolic Manipulation Solve the system of equations 2x N 3y = 4 and Lx + 7y = L12. Solve the first equation so ... - Texas Instruments TI-89 | User Manual - Page 83

... ¸ yet. Press „ 1 ? X « 7 Y Á ? 12 b Y d 3. Use the "with" operator to substitute the expression for x that was calculated from the first equation. This gives the value of y. The "with" operator is displayed as | on the screen. Use the auto-paste feature to highlight the last answer in... - Texas Instruments TI-89 | User Manual - Page 84

... the highlighted expression to the entry line. Then substitute the value of y that was calculated from the second equation. Press ¸ Í C ¸ ¸ The ...systems of equations. Constants and Measurement Units Using the equation f = m...a, calculate the force when m = 5 kilograms and a = 20 meters/second2.... - Texas Instruments TI-89 | User Manual - Page 85

...you select units from an alphabetical list of categories. You can use 2 D and 2 C to scroll one page at a time through the categories. If you use the UNITS dialog box to select a unit, the _ is entered automatically. Now.../_s2 each time you need it, you can use _ms2. Also, you can now use the... - Texas Instruments TI-89 | User Manual - Page 86

...2 4 8 5 2 ™ KGF j¸ Basic Function Graphing I The example in this section demonstrates some of the graphing capabilities of the TI-89 Titanium keystrokes. It illustrates how to graph a function using the Y= Editor. You will Previews 86 - Texas Instruments TI-89 | User Manual - Page 87

... a minimum point, and transfer the minimum coordinates to the Home screen. Explore the graphing capabilities of the TI-89 Titanium by graphing the function y=(|x2N3|N10)/2. Steps and keystrokes Display 1. Display the Y= Editor. Press 8 # entry ... - Texas Instruments TI-89 | User Manual - Page 88

Steps and keystrokes Display 4. Turn on Trace. The tracing cursor, and the x and y coordinates are displayed. Press ...tracing cursor 5. Open the MATH menu and select 3:Minimum. Press ‡ D D ¸ 6. Set the lower bound. Press B (right cursor) to move the tracing cursor until the lower bound for ... - Texas Instruments TI-89 | User Manual - Page 89

...and keystrokes Display 8. Find the minimum point on the graph between the lower and upper bounds....Graphing II Graph a circle of radius 5, centered on the origin of the coordinate system. View the circle using ...Display the MODE dialog box. For Graph mode, select FUNCTION. Press 3 B 1 ¸ Previews 89 - Texas Instruments TI-89 | User Manual - Page 90

...and clear the Y= Editor. Then define y1(x) = a circle. ( r 2 - x 2 ) , the top half of In function graphing, you must define separate functions for the top and bottom halves of... negative of the top half, so you can define y2(x) = Ly1(x). Use the full function name y1(x), not simply y1. Press ¸ ? Y ... - Texas Instruments TI-89 | User Manual - Page 91

Steps and keystrokes Display 5. Select the ZoomStd viewing window, which automatically graphs the functions. In the standard viewing window, both the x and y axes range from L10 to 10. However, this range is spread over a longer distance along the x axis than the y axis. Therefore, the circle ... - Texas Instruments TI-89 | User Manual - Page 92

Basic Function Graphing III Use the "Detect Discontinuities" graph format to eliminate faux asymptotes... enter y1(x)=1/(x1). Press 8 # 1 e c X | 1 d ¸ 3. Display the Graph Formats dialog box and set "Detect Discontinuities" to OFF Note: The second item on the Graph Format dialog is not greyed out, ... - Texas Instruments TI-89 | User Manual - Page 93

... Formats dialog box and set "Detect Discontinuities" to ON. Note: The second item on the Graph Format dialog is greyed out, which means the graph order is set to sequential "Seq". Press 8 Í D D D D D D B 2 ¸ 6. Execute the Graph command, which automatically displays the Graph screen. No... - Texas Instruments TI-89 | User Manual - Page 94

Parametric Graphing Graph the parametric equations describing the path of a ball kicked at an angle (q) of 60¡ with an initial velocity (v 0)... hit the ground? Steps and keystrokes Display 1. Display the MODE dialog box. For Graph mode, select PARAMETRIC. Press 3 B 2 ¸ 2. Display and clear the Y= ... - Texas Instruments TI-89 | User Manual - Page 95

... for this example. You can press either D or ¸ to enter a value and move to the next variable. Press 8 $ 0 D 3 D .02 D ? 2 D 25 D 5 D ? 2 D 10 D 5 5. Graph the parametric equations to model the path of the ball. Press 8 % 6. Select Trace. Then move the cursor along the path to find the: • • y ... - Texas Instruments TI-89 | User Manual - Page 96

Polar Graphing The graph of the polar equation r1(q) = A sin Bq forms the shape of a rose. Graph the rose for A=8 and B=2.5. Then ... for other values of A and B. Steps and keystrokes Display 1. Display the MODE dialog box. For Graph mode, select POLAR. For Angle mode, select RADIAN. Press 3 B 3 D D D... - Texas Instruments TI-89 | User Manual - Page 97

Steps and keystrokes Display 3. Select the ZoomStd viewing window, which graphs the equation. • The graph shows only five rose petals. In the standard viewing window, the Window variable qmax = 2p. The remaining petals have q values greater than 2p. • The rose does not appear symmetrical. ... - Texas Instruments TI-89 | User Manual - Page 98

... which regraphs the equation. ZoomSqr increases the range along the x axis so that the graph is shown in correct proportion. Press „ 5 You can change values for A and B as necessary and regraph the equation. Sequence Graphing A small forest contains 4000 trees. Each year, 20% of... - Texas Instruments TI-89 | User Manual - Page 99

Steps and keystrokes Display 1. Display the MODE dialog box. For Graph mode, select SEQUENCE. Press 3 B 4 ¸ 2. Display and ...u1(n) = iPart(.8...u1(nN1)+1000). Use iPart to take the integer part of the result. No fractional trees are harvested. To access iPart(, you can use 2 I, simply type it, or ... - Texas Instruments TI-89 | User Manual - Page 100

... to appropriate values for this example. Press 0 D 50 D 10 D 0 D 6000 D 1000 6. Display the Graph screen. Press 8 % 7. Select Trace. Move the cursor to trace year by ...(n), the number of trees at year n. Press ...B and A as necessary By default, sequences use the Square display style. Previews 100 - Texas Instruments TI-89 | User Manual - Page 101

3D Graphing Graph the 3D equation z(x,y) = (x3y N y3x) / 390. Animate the graph by using the... Display 1. Display the MODE dialog box. For Graph mode, select 3D. Press 3 B 5 ¸ 2.... multiplication is used in the keystrokes. Press 8 # , 8 ¸ ¸ c X Z 3 Y | Y Z 3 X d e 390 ¸ 3. Change the graph format ... - Texas Instruments TI-89 | User Manual - Page 102

.... Press „ 6 Note: If you have already used 3D graphing, the graph may be shown in expanded view. When you animate the graph, the screen returns to normal ... p to switch between expanded and normal view) 5. Animate the graph by decreasing the eyef Window variable value. D or C ... - Texas Instruments TI-89 | User Manual - Page 103

Steps and keystrokes Display 6. Return the graph to its initial orientation. Then move the viewing angle along the "viewing orbit" around the graph. Press 0 (zero, not the letter O) A A A 7. View ...axis, the y axis, and then the z axis. Press X This graph has the same shape along the y axis ... - Texas Instruments TI-89 | User Manual - Page 104

Steps and keystrokes Display 9. Display the graph in different graph format styles. Press Í (press Í to switch from each style to the next) HIDDEN SURFACE CONTOUR LEVELS (may require extra time to calculate contours) WIRE AND CONTOUR WIRE FRAME Previews 104 - Texas Instruments TI-89 | User Manual - Page 105

... You can also display the graph as an implicit plot by using the GRAPH FORMATS dialog box ... plot is not displayed. Differential Equation Graphing Graph the solution to the logistic 1st-order ... initial conditions in the Y= Editor and interactively from the Graph screen. Steps and keystrokes Display ... - Texas Instruments TI-89 | User Manual - Page 106

... condition yi1 blank. Note: With y1' selected, the device will graph the y1 solution curve, not the derivative y1'. ... .001 Y1 p c 100 | Y1 d ¸ 3. Display the GRAPH FORMATS dialog box. Then set Axes =...Solution Method = RK, and Fields = SLPFLD. Note: To graph one differential equation, Fields must be ... - Texas Instruments TI-89 | User Manual - Page 107

...? 10 D 120 D 10 D 0 D .001 D 20 5. Display the Graph screen. Because you did not specify ...the slope field is drawn (as specified by Fields=SLPFLD in the GRAPH FORMATS dialog box). Press 8 % 6. Return to...=10 Press 8 # ¸ 10 ¸ 7. Return to the Graph screen. Initial conditions entered in the Y= Editor ... - Texas Instruments TI-89 | User Manual - Page 108

Steps and keystrokes Display 8. Return to the Y= Editor and change yi1 to enter two initial conditions as a list: yi1={10,20} Press 8 # C ¸ 2 [ 10 b 20 2\¸ 9. Return to the Graph screen. Press 8 % Previews 108 - Texas Instruments TI-89 | User Manual - Page 109

Steps and keystrokes Display 10. To select an initial condition interactively, press: 2 - Texas Instruments TI-89 | User Manual - Page 110

... cosine curve. Then save a picture of the displayed graph. Steps and keystrokes Display 1. Display the MODE dialog box. For Graph mode, select FUNCTION. For Angle mode, select RADIAN. Press 3 B 1 D D D B 1 ¸ 2. Display the Home screen. Use the Graph command and the when function to specify ... - Texas Instruments TI-89 | User Manual - Page 111

...curve. The calculator remains in "horizontal" mode until you select a different operation or press N. Press 2 ‰ 5 C (until the line is positioned) ¸ 5. Save a picture of the graph. Use PIC1 as the variable name for the picture. Be sure to set Type = Picture. By ... - Texas Instruments TI-89 | User Manual - Page 112

Steps and keystrokes Display 7. Open the saved picture variable to redisplay the graph with the line. Be sure to set Type = Picture. By default, it is set ...do they occur? Steps and keystrokes Display 1. Display the MODE dialog box. For the Graph mode, select FUNCTION. Press 3 B 1 ¸ Previews 112 - Texas Instruments TI-89 | User Manual - Page 113

...# , 8 ¸ ¸ X Z 3 | 2X¸ 3. Set the table parameters to: tblStart = M10 @tbl = 1 Graph < - > Table = OFF Independent = AUTO Press 8 & ? 10 D 1 D B 1 D B ... table. Notice that y1 changes sign at x = M1, 1, and 2. To scroll one page at a time, use 2 D and 2 C. Press D and C as necessary. Previews 113 - Texas Instruments TI-89 | User Manual - Page 114

....1 ¸ ¸ Split Screens Split the screen to show the Y= Editor and the Graph screen. Explore the behavior of a polynomial as its coefficients change. Steps and keystrokes Display 1. Display the MODE dialog box. For Graph, select FUNCTION. For Split Screen, select LEFT-RIGHT. For Split... - Texas Instruments TI-89 | User Manual - Page 115

...¸ .1 X Z 3 | 2X«6¸ 3. Select the ZoomStd viewing window, which switches to the Graph screen and graphs the function. The thick border is now around the Graph screen. Press „ 6 4. Switch to the Y= Editor and edit y1(x) to change .1x 3 to .5x3. 2 a is the second function of O. The thick border is... - Texas Instruments TI-89 | User Manual - Page 116

Steps and keystrokes Display 5. Switch to the Graph screen, which regraphs the edited function. The thick border is around the Graph screen. Press 2 a 6. Switch to the Y= Editor and open the Window Editor in its place. Press 2 a 8 $ ... - Texas Instruments TI-89 | User Manual - Page 117

Data/Matrix Editor Use the Data/Matrix Editor to create a one-column list variable. ... have multiple columns). Steps and keystrokes Display 1. Use O to display the Data/Matrix Editor. Create a ...-left corner to indicate a list variable. You can use D instead of ¸ to enter information in a cell. Press... - Texas Instruments TI-89 | User Manual - Page 118

Steps and keystrokes Display 3. Move to column 2, and define its column header so that it is twice the value of column 1. DATA is shown in the upper-left corner to indicate that the list variable was converted to a data variable. Œ means the cell is in a defined column. Press B - Texas Instruments TI-89 | User Manual - Page 119

... of buildings with more than 12 stories. Using Median-Median and linear regression calculations, find and plot equations to fit the data. For ... people. Steps and keystrokes Display 1. Display the MODE dialog box. For Graph mode, select FUNCTION. Press 3 B 1 ¸ 2. Use•O to ... - Texas Instruments TI-89 | User Manual - Page 120

Steps and keystrokes Display 3. Using the sample data below, enter the population in column 1. Pop. (in 1000s) 150 500 800 250 500 750 950 Bldgs > 12 stories 4 31 42 9 20 55 73 Press 150 ¸ 500 ¸ 800 ¸ 250 ¸ 500 ¸ 750 ¸ 950 ¸ 4. Move the cursor to row 1 in column 2 (r1c2). Then enter the ... - Texas Instruments TI-89 | User Manual - Page 121

... 8C so that you can see the first four rows. Press A 8 C 2 ˆ 4 6. Display the Calculate dialog box. Set Calculation Type = MedMed x... y = C2 Store RegEQ to = y1(x) Press ‡ B 7 D C j 1 D j C2 D BD¸ 7. Perform the calculation to display the MedMed regression equation. As specified on the Calculate ... - Texas Instruments TI-89 | User Manual - Page 122

... Close the STAT VARS screen. The Data/Matrix Editor displays. Press ¸ 9. Display the Calculate dialog box. Set: Calculation Type = LinReg...y = C2 Store RegEQ to = y2(x) Press ‡ B 5 D D D B D ¸ 10. Perform the calculation to display the LinReg regression equation. This equation is stored in y2(x).... - Texas Instruments TI-89 | User Manual - Page 123

... and keystrokes Display 13. Define Plot 1 as: Plot Type = Scatter Mark = Box x = C1 y = C2 Notice the similarities between this and the Calculate dialog box. Press , B 1 D B 1 D C j 1 D j C2 14. Save the plot definition and return to the Plot Setup screen. Notice the shorthand notation for Plot ... - Texas Instruments TI-89 | User Manual - Page 124

...ˆ 2 16. Scroll up to highlight Plot 1. The displayed shorthand definition is the same as on the Plot Setup screen. Press C 17. Use ZoomData to graph Plot 1 and the regression equations y1(x) and y2(x). ZoomData examines the data for all selected stat plots and... - Texas Instruments TI-89 | User Manual - Page 125

Steps and keystrokes Display 18. Return to the current session of the Data/Matrix Editor. Press O D ¸ ¸ 19. Enter a title for column 3. Define column 3's header as the values predicted by the MedMed line. To enter a title, the cursor must highlight the title cell at the very top of the column. - Texas Instruments TI-89 | User Manual - Page 126

Steps and keystrokes Display 22. Enter a title for column 6. Define column 6's header as the residuals for LinReg. Press B C 2 ™ RESID j ¸ - Texas Instruments TI-89 | User Manual - Page 127

...1:All Off. Plots 2 and 3 are still selected. Press 8 # ‡ 3 27. Use ZoomData to graph the residuals. › marks the MedMed residuals; + marks the LinReg residuals. Press „ 9 28. Display the Home screen. Press " 29. Use the MedMed (y1(x)) and LinReg (y2(x)) regression equations to ... - Texas Instruments TI-89 | User Manual - Page 128

... that prompts the user to enter an integer, sums all integers from 1 to the entered integer, and displays the result. Steps and keystrokes Display 1. Use O to display the Program Editor. Create a new program. Press 3 2. Type PROG1 (with no spaces) as the name of the new program variable. Press D D ... - Texas Instruments TI-89 | User Manual - Page 129

Steps and keystrokes Display 4. Type the following program lines. Request "Enter an integer",n Displays a dialog box that prompts "Enter an integer", waits for the user to enter a value, and stores it (as a string) to variable n. expr(n)!n Converts the string to a numeric expression. 0!temp ... - Texas Instruments TI-89 | User Manual - Page 130

... integers from 1 through 5. Although the Program I/O screen looks similar to the Home screen, it is for program input and output only. You cannot perform calculations on the Program I/O screen. Press ¸ twice Output from other programs may still be on the screen. Result of integer 5 Previews 130 - Texas Instruments TI-89 | User Manual - Page 131

...Press ‡ Text Operations Start a new Text Editor session. Then practice using the Text Editor by typing whatever text you want. As you type, ...TEST, which will automatically store any text you enter in the new session. Use the MAIN folder, shown as the default on the NEW dialog box. After typing in ... - Texas Instruments TI-89 | User Manual - Page 132

... then press 2 ™ to turn alpha-lock on again. Practice editing your text by using: • • The cursor pad to move the text cursor. 0 or 8 . to delete the...stored automatically as you typed. Therefore, you do not need to save the session manually before exiting the Text Editor. Press " Previews 132 - Texas Instruments TI-89 | User Manual - Page 133

... assume that a=1/3 g, find the value of m1. Steps and keystrokes Display 1. Use O to display the Numeric Solver. 2. Enter the equation. When you press ¸ or D, the screen lists the variables used in the equation. Press j A Á c j M2 | j M1 d e c j M2 « j M1 d p j G¸... - Texas Instruments TI-89 | User Manual - Page 134

... variable. To check the solution's accuracy, the left and right sides of the equation are evaluated separately. The difference is shown as left-rt. If the solution is precise, left-rt=0. Press „ g/3 is evaluated when you move the cursor off the line. 0 marks the calculated values. Previews 134 - Texas Instruments TI-89 | User Manual - Page 135

Steps and keystrokes Display 6. Graph the solution using a ZoomStd viewing window. The graph is displayed in a split screen. You can explore the graph by tracing, zooming, etc. The variable marked by the cursor (unknown variable m1) is on the ... - Texas Instruments TI-89 | User Manual - Page 136

... Base mode. Fractional and floatingpoint results are always displayed in decimal form. Press 3 „ (use D to move to Base mode) B 1 ¸ 2. Calculate 0b10+0hF+10. To enter a binary or hex number, you must use the 0b or 0h prefix (zero and the ... - Texas Instruments TI-89 | User Manual - Page 137

... ™ HEX j ¸ 5. Add 1 to the result and leave it in the default decimal base. Results use the 0b or 0h prefix to identify the base. ...a result is restricted to certain size limitations. Press 3 „ (use D to move to Base mode) B 2 ¸ 7. Calculate 0b10+0hF+10. Press 0 j B 10 « 0 2 ™ HF j « 10 ¸ ... - Texas Instruments TI-89 | User Manual - Page 138

Steps and keystrokes Display 8. Change the Base mode to BIN. Press 3 „ (use D to move to Base mode) B 3 ¸ 9. Re-enter 0b10+0hF+10. Press ¸ Memory and Variable Management Assign values to a variety of variable data types. Use the VAR-LINK screen to view a list of the defined variables. Then ... - Texas Instruments TI-89 | User Manual - Page 139

...5 9 X1 ¸ X Z 2«49jFcXd¸2[ 5 b 10 2 \ 9 j L1 ¸ 2 g 30 b 25 2 h 9 j M1 ¸ 2. Suppose you start to perform an operation using a function variable but can't remember its name. Press 5 p 3. Display the VAR-LINK screen. This example assumes that the variables assigned above are the only ones defined. ... - Texas Instruments TI-89 | User Manual - Page 140

... to show only function variables. Although this may not seem particularly useful in an example with four variables, consider how useful it ... function variable, and view its contents. Notice that the function was assigned using f(x) but is listed as f on the screen. Press D 2 ˆ 6. Close the Contents ... - Texas Instruments TI-89 | User Manual - Page 141

...longer in effect. The screen lists all defined variables. Press 2 ° (use D to highlight x1) 2. Use the , Manage toolbar menu to archive the variable. û... the variable is archived. Press , 8 3. Return to the Home screen and use the archived variable in a calculation. Press " 6 p X1 ¸ Previews 141 - Texas Instruments TI-89 | User Manual - Page 142

... archived variable. Press 10 9 X1 ¸ 5. Cancel the error message. Press N 6. Use VAR-LINK to unarchive the variable. x1) , 9 Press 2 ° (use D to highlight 7. Return to the Home screen and store a different value to the unarchived variable. Press " ¸ Previews ... - Texas Instruments TI-89 | User Manual - Page 143

Deleting variables Steps and keystrokes Display 1. Display VAR-LINK, and use the ‡ All toolbar menu to select all variables. A Ÿ mark indicates ... are selected. Notice that this also selected the MAIN folder. Note: Instead of using ‡ (if you don't want to delete all your variables), you can ... - Texas Instruments TI-89 | User Manual - Page 144

... redisplayed, the deleted variables are not listed. Press ¸ 5. Close VAR-LINK and return to the current application (Home screen in this example). When you use N (instead of ¸) to close VAR-LINK, the highlighted name is not pasted to the entry line. Press... - Texas Instruments TI-89 | User Manual - Page 145

Operating the Calculator Turning the Calculator On and Off You can turn your graphing calculator on and off manually by using the ´ and 2 ® (or 8 ®) keys. To prolong ... itself off through APD, the unit returns to whichever application you used last. Operating the Calculator 145 - Texas Instruments TI-89 | User Manual - Page 146

Turning the Calculator Off You can use either of the following keys to turn off your graphing calculator. Press: Description Settings and memory contents are retained by the Constant Memory™ feature. However: • • You cannot use 2 ® if an error message is ... - Texas Instruments TI-89 | User Manual - Page 147

... display depend on room lighting, battery freshness, viewing angle, and the adjustment of the display contrast. The contrast setting is retained in memory when the graphing calculator is turned off. Adjusting the Display Contrast You can adjust the display ... - Texas Instruments TI-89 | User Manual - Page 148

...of the display also gives battery information. Indicator in status line Description Batteries are low. Replace batteries as soon as possible. The TI-89 Titanium Keyboard Most keys can perform two or more functions, depending on whether you first press a ... - Texas Instruments TI-89 | User Manual - Page 149

Ï Ê ƒ - 2 - Texas Instruments TI-89 | User Manual - Page 150

... N key is one of several keys that can perform three operations, depending on whether you first press 2 or 8. The following TI-89 Titanium example shows using the 2 or 8 modifier key with the N key. Operating the Calculator 150 - Texas Instruments TI-89 | User Manual - Page 151

... or 8, depending on the color in which the operation is printed on the keyboard and where it is positioned above the key. CUT 2nd On the TI-89 Titanium, 8 5 accesses CUT, which is the same color as the 8 key. When you press a modifier such as 2 or 8, a 2ND ... - Texas Instruments TI-89 | User Manual - Page 152

... information. Deletes the character to the right of the cursor. Enters the "with" operator, which is used in symbolic calculations. Performs integrations and derivatives. Designates an angle in polar, cylindrical, and spherical coordinates. Displays the MATH menu.... - Texas Instruments TI-89 | User Manual - Page 153

...and in the Text Editor (Text Editor module). Entering a Letter Character on the TI-89 Titanium The letters x, y, z, and t are commonly used in algebraic expressions. So that you can type them quickly, these letters are primary keys on the TI-89 Titanium keyboard. X Y Z... - Texas Instruments TI-89 | User Manual - Page 154

... A j [A] displays an A, which is the same color as the j key. Typing Alphabetic Characters on the TI-89 Titanium To: Type a single lowercase alpha character. Type a single uppercase alpha character. Type a space. Turn on lowercase alpha-lock. ... - Texas Instruments TI-89 | User Manual - Page 155

...But you must use ¤ or uppercase ALPHA-lock for X, Y, Z, or T. On the TI-89 Titanium, alpha-lock ...going from the Text Editor to the Home screen. On the TI-89 Titanium, while either type of alpha-... to press j or 2 ™ to type alphabetic characters on the TI-89 Titanium. Automatic alpha-lock is turned ... - Texas Instruments TI-89 | User Manual - Page 156

... notation. Entering a Negative Number 1. Press the negation key ·. (Do not use the subtraction key |.) 2. Type the number. To see how your graphing calculator evaluates a negation in relation to other functions, refer to the Equation Operating System (EOSମ. - Texas Instruments TI-89 | User Manual - Page 157

... then adds 4. • • Important: Use | for subtraction and use · for negation. Entering a Number in Scientific Notation 1. Type the part of the number that precedes the exponent. This value can be an expression. Operating the Calculator 157 - Texas Instruments TI-89 | User Manual - Page 158

... number. Represents 123.45 × 10-2 Entering Expressions and Instructions You perform a calculation by evaluating an expression. You initiate an action by executing the appropriate instruction. Expressions are calculated and results are displayed according to the mode ... - Texas Instruments TI-89 | User Manual - Page 159

... or more arguments (enclosed in parentheses) after the function. For example: ‡(5) and min(5,8). Instructions cannot be used in expressions. Some instructions do not ...Notes: • The Technical Reference module describes all of the built-in functions and instructions. Operating the Calculator 159 - Texas Instruments TI-89 | User Manual - Page 160

• This guidebook uses the word command as a generic reference to both functions and instructions. Implied Multiplication The graphing calculator recognizes implied multiplication, provided it does not conflict with a reserved notation.... - Texas Instruments TI-89 | User Manual - Page 161

.... For example, select 2:abs from the Number submenu of the MATH menu. - or - • Type the name letter-by-letter from the keyboard. (On the TI-89 Titanium, use j and 2 ™ to type letters.) You can use any mixture of uppercase or lowercase letters. For example, type ... - Texas Instruments TI-89 | User Manual - Page 162

TI-89 Titanium Press 3.76 e c · 7.9 « Display 3.76/( M7.9+‡( 2] 2 ] inserts ‡( because its argument must be in parentheses. 3.76/( M7.9+‡(5)) Use d once to close ‡(5) and again to close (M7.9 + ‡5). 5dd «2 2 ™ LOG j c 45 d ¸ 3.76/( M7.9+‡(5))+2log(45) log requires ( ) around... - Texas Instruments TI-89 | User Manual - Page 163

Entering Multiple Expressions on a Line To enter more than one expression or instruction at a time, separate them with a colon by pressing 2 Ë. Ê Displays last result ... C to move the cursor from the entry line up into the history area. This highlights the last answer. Operating the Calculator 163 - Texas Instruments TI-89 | User Manual - Page 164

... a Calculation When you press ¸ to evaluate an expression, the graphing calculator leaves the expression on the entry line and ... can continue to use the last answer or enter a new expression. If you press: The calculator: Replaces the entry line with the variable ans(1), which lets you use the last ... - Texas Instruments TI-89 | User Manual - Page 165

TI-89 Titanium Press 3.76 e c · 7.9 « 2]5dd Display ¸ « 2 2 ™ LOG j c 45 d ¸ When you press «, the entry line is replaced with the variable ans(1), which contains the last answer. Stopping a Calculation When a calculation is in progress, BUSY appears on the right end of the status line.... - Texas Instruments TI-89 | User Manual - Page 166

... Mode By default, Pretty Print = ON. Exponents, roots, fractions, etc., are displayed in the same form in which ... default, Exact/Approx = AUTO. You can use 3 to select from three settings. Because AUTO ... other two settings, you should be familiar with all three settings. Operating the Calculator 166 - Texas Instruments TI-89 | User Manual - Page 167

EXACT - Any result that is not a whole number is displayed in a fractional or symbolic form (1/2, p, 2 , etc.). Shows whole-number results. ... and symbolic forms, EXACT reduces rounding errors that could be introduced by intermediate results in chained calculations. Operating the Calculator 167 - Texas Instruments TI-89 | User Manual - Page 168

... in floating-point (decimal) form. Note: Results are rounded to the precision of your graphing calculator and displayed according to current mode settings. Fractional results are ...EXACT form where possible, but uses the APPROXIMATE form when your entry contains a decimal point. Also, ... - Texas Instruments TI-89 | User Manual - Page 169

...Display Digits = FLOAT 6, which means that results are rounded to a maximum of six digits. You can use 3 to select different settings. The settings apply to all exponential formats. Operating the Calculator 169 - Texas Instruments TI-89 | User Manual - Page 170

... • Regardless of the Display Digits setting, the full value is used for internal floatingpoint calculations to ensure maximum accuracy. A result is automatically shown in scientific notation if its magnitude cannot be displayed in the selected ... - Texas Instruments TI-89 | User Manual - Page 171

Setting NORMAL Example 12345.6 Description If a result cannot be displayed in the number of digits specified by the Display Digits mode, the calculator switches from NORMAL to SCIENTIFIC for that result only. 1.23456 × 104 SCIENTIFIC 1.23456E 4 Ê ... - Texas Instruments TI-89 | User Manual - Page 172

... Highlight from the Previous Entry After you press ¸ to evaluate an expression, the calculator leaves that expression on the entry line and highlights it. To edit the...cursor moves up into the history area. Press N or press D until the cursor returns to the entry line. Operating the Calculator 172 - Texas Instruments TI-89 | User Manual - Page 173

... entry line, press: • • M if the cursor is at the beginning or end of the entry line. - or - M M if the cursor is not at the beginning or end of the entry line. The first press deletes all characters to the right of the cursor, and the second clears the entry line. Operating the Calculator 173 - Texas Instruments TI-89 | User Manual - Page 174

... calculator has both an insert and an overtype mode. By default, the calculator is in the insert mode. To toggle between the insert and overtype modes...Multiple Characters First, highlight the applicable characters. Then, replace or delete all the highlighted characters. Operating the Calculator 174 - Texas Instruments TI-89 | User Manual - Page 175

...some function keys automatically add an open parenthesis. Menus To leave the keyboard uncluttered, the calculator uses menus to access many operations. This section gives an overview of how to select an item from any menu. Specific menus Operating the Calculator 175 - Texas Instruments TI-89 | User Manual - Page 176

... functions and instructions. Also lets you select user-defined functions or Flash application ... to list any available function, instruction, or character. The calculator includes a default custom menu,...which you can modify or redefine. Refer to the Calculator Home Screen and/or the Programming module ... - Texas Instruments TI-89 | User Manual - Page 177

...from the displayed menu, either: • Press the number or letter shown to the left of that item. For a letter on the TI-89 Titanium, press j and then a letter key. - or - • Use the cursor pad D and C to highlight the item, and then press ¸. (Note... - Texas Instruments TI-89 | User Manual - Page 178

Because of limited screen size, the TI-89 Titanium overlaps these menus. $ indicates that you can use the cursor pad to scroll down for additional items. For example, List displays a submenu that lets you select a specific List function. For items that have a submenu, you... - Texas Instruments TI-89 | User Manual - Page 179

...display and select from a menu. An input box indicates that you must type a value. (Alpha-lock is automatically turned on for the TI-89 Titanium.) After typing in an input box such as Variable, you must press ¸ twice to save the information and close ... - Texas Instruments TI-89 | User Manual - Page 180

... B from the last menu moves to the first menu, and vice versa. When using B, be sure that an item with a submenu is not highlighted. If so, B displays ... ¸ to evaluate the expression. Ê Selecting the function in Step 3 automatically typed round( on the entry line. Operating the Calculator 180 Ê - Texas Instruments TI-89 | User Manual - Page 181

Selecting an Application The graphing calculator has different applications that let you solve and ... list of Flash applications, if any. Define, edit, and select functions or equations for graphing. .... Display graphs. Application: FlashApps Y= Editor Window Editor Graph Operating the Calculator 181 - Texas Instruments TI-89 | User Manual - Page 182

...data, and matrices. You can perform statistical calculations and graph statistical plots. Enter and edit programs and functions. Enter and edit ...for the unknown variable. Enter expressions and instructions, and perform calculations. Program Editor Text Editor Numeric ... - Texas Instruments TI-89 | User Manual - Page 183

... appears. Note: The general term variable is used to refer to the application data files that you create. Use any of these methods to return to the Apps desktop from... press 2 K again. To return to the last open application from the Apps desktop, press 2 a. Operating the Calculator 183 - Texas Instruments TI-89 | User Manual - Page 184

From the Keyboard Operating the Calculator 184 - Texas Instruments TI-89 | User Manual - Page 185

You can access commonly used applications from the keyboard. On the TI-89 Titanium for example, 8 # is the same as pressing 8 and then ƒ. This guidebook uses the notation 8 #, similar to the notation used in second functions. Application: Home Y= Editor ... - Texas Instruments TI-89 | User Manual - Page 186

... a menu that lists the valid settings. The current setting is highlighted. 3. Select the applicable setting. Either: • Use D or C to highlight the setting and press ¸. - or - Operating the Calculator 186 - Texas Instruments TI-89 | User Manual - Page 187

... For detailed information about a particular mode, look in the applicable section of this guidebook. Mode Graph Current Folder Description Type of graphs to plot: FUNCTION, PARAMETRIC, POLAR, SEQUENCE, 3D, or DE. Folder used to store and recall variables. Unless you have ... - Texas Instruments TI-89 | User Manual - Page 188

... independent sets of graphs. If Number of Graphs = 2, selects the type of graph in the Split 2 part of the screen. Refer to Calculator Home Screen. Calculates expressions and ...), or binary (BIN) form. Split 1 App Split 2 App Number of Graphs Graph 2 Exact/Approx Base Operating the Calculator 188 - Texas Instruments TI-89 | User Manual - Page 189

... you select Unit System, 3:CUSTOM. Lets you localize the calculator into one of several languages, depending on which language Flash applications are installed. ... toolbar menu lets you start a new calculation from a cleared state without resetting the memory. Clean Up Toolbar Menu To ... - Texas Instruments TI-89 | User Manual - Page 190

...Single-character variable names are often used in symbolic calculations such as: solve(a¦x2+...stat plots (FnOff and PlotsOff) in the current graphing mode. Performs ClrDraw, ClrErr, ClrGraph,..., this lets you restore the default. Refer to the Calculator Home Screen module for information on the custom ... - Texas Instruments TI-89 | User Manual - Page 191

... CATALOG dialog box lets you select functions used in Flash applications or user-defined functions (if any have been loaded or defined). Displaying the..., which displays an alphabetic list of all preinstalled commands (functions and instructions). Ê Ë Ì Operating the Calculator 191 - Texas Instruments TI-89 | User Manual - Page 192

Ê Defaults to „ Built-in. Ë ƒ Help displays a command's parameters in a dialog box. Ì ...and - Texas Instruments TI-89 | User Manual - Page 193

... program at a time One page at a time To the first function that begins with a specified letter Press or type: D or C 2 D or 2 C The letter key. (On the TI-89 Titanium, do not press j first. If you do, you need to press j or 2 ™ again before ... - Texas Instruments TI-89 | User Manual - Page 194

... to that command's description in the Technical Reference module. Viewing CATALOG Help You can display a command's parameters in a dialog box by ... display on the status line and you will see Unavailable if you press ƒ Help. Press N to exit the CATALOG Help dialog box. Operating the Calculator 194 - Texas Instruments TI-89 | User Manual - Page 195

... program at a time One page at a time To the first function that begins with a specified letter Press or type: D or C 2 D or 2 C The letter key. (On the TI-89 Titanium, do not press j first. If you do, you need to press j or 2 ™ again before ... - Texas Instruments TI-89 | User Manual - Page 196

Selecting a User-Defined Function or Program You can create your own functions or programs and then use - Texas Instruments TI-89 | User Manual - Page 197

...function or program at a time One page at a time Press or type: D or C 2 D or 2 C To the first function or program that The letter key. (On the TI-89 begins with a specified letter Titanium, do not press j first. If you do, you need to press j or 2 ™ again ... - Texas Instruments TI-89 | User Manual - Page 198

• Cannot be the same as a name that is preassigned by the calculator. Preassigned names include: Built-in functions (such as abs) and instructions (.... Data Types DataTypes Expressions Lists Examples 2.54, 1.25E6, 2p, xmin/10, 2+3i, (x-2)2, {2 4 6 8}, {1 1 2} 2⁄2 Operating the Calculator 198 - Texas Instruments TI-89 | User Manual - Page 199

... which can be an expression. 2. Press §. The store symbol (!) is displayed. 3. Type the variable name. Note: TI-89 Titanium users should use j as necessary when typing variable names. 4. Press ¸. To store to a variable temporarily, you can use ... - Texas Instruments TI-89 | User Manual - Page 200

... variable name is shown in the result. In this example, the variable a is undefined. Therefore, it is used as a symbolic variable. Note: Refer to Symbolic Manipulation for information ... want the result to replace the variable's previous value, you must store the result. Operating the Calculator 200 - Texas Instruments TI-89 | User Manual - Page 201

... Indicators in the Display The status line is displayed at the bottom of all application screens. It shows information about the current state of the calculator, including several important mode settings. Status Line Indicators Ê Ë Ì Í Î ... - Texas Instruments TI-89 | User Manual - Page 202

...feature of the next key you press. ¤ - will type the uppercase letter for the next key you press. On the TI-89 Titanium, you can use ¤ to type a letter without having to use j. j - will type the lowercase letter for the next key you press. 2... - Texas Instruments TI-89 | User Manual - Page 203

... G2. Indicates the type of graphs that can be plotted. To change the Graph mode, use the 3 key. y(x) functions x(t) and y(t) parametric equations r(q) polar equations u(n) ... RAD DEG GRAD Exact/Approx Mode AUTO EXACT APPROX Graph Number Graph Mode FUNC PAR POL SEQ 3D DE Operating the Calculator 203 - Texas Instruments TI-89 | User Manual - Page 204

... the history area. Refer to History Information on the Status Line in the Calculator Home Screen module. A calculation or graph is in progress. You paused a graph or program. The variable opened in the current editor (Data/Matrix Editor, Program Editor, or Text ... - Texas Instruments TI-89 | User Manual - Page 205

...the Calculator Home Screen When you first turn on your TI-89 Titanium, the Apps desktop is displayed. To display the calculator Home screen, highlight the Home icon and press ... display the calculator Home screen by pressing " (TI-89 Titanium). If you turn off the Apps Desktop mode, the... - Texas Instruments TI-89 | User Manual - Page 206

...entered data and describes the main parts of the calculator Home screen. Entry/answer pairs ... you display menus for selecting operations applicable to the calculator Home screen. To display a toolbar.... Î Status Line Shows the current state of the calculator, including several important mode settings... - Texas Instruments TI-89 | User Manual - Page 207

... width. Ê Ë Ê Last Entry "Pretty print" is ON. Exponents, roots, fractions, etc., are displayed in the same form in which they are traditionally written. Ì...scroll right and view the rest of the entry. Press 2 A or 2 B to go to the beginning or end of the entry line. Calculator Home Screen 207 - Texas Instruments TI-89 | User Manual - Page 208

... off the top of the screen. You can use the history area to: • • Review previous entries and ... line, press C to highlight the last answer. Continue using C to move the cursor from answer to entry, up ... or end), respectively. Move the cursor to the entry or answer. Use Calculator Home Screen 208 - Texas Instruments TI-89 | User Manual - Page 209

... An example of viewing a long answer is available. History Information on the Status Line Use the history indicator on the status line for information about the entry/answer pairs. For ... pair is saved and the oldest pair is deleted. The history indicator does not change. Calculator Home Screen 209 - Texas Instruments TI-89 | User Manual - Page 210

.... Move the cursor to either the entry or answer. Press 0 or M. Saving the Calculator Home Screen Entries as a Text Editor Script To save all the entries in the history area, you can save the calculator Home screen to a text variable. When you want to reexecute those entries, use the Text Editor... - Texas Instruments TI-89 | User Manual - Page 211

...folder and text variable that you want to use to store the entries. Note: Only the entries ... the folder in which the text variable will be stored. To use a different folder, press B to display a menu..., you cannot restore them from the calculator Home screen. (On the calculator Home screen's ƒ toolbar... - Texas Instruments TI-89 | User Manual - Page 212

1. Use the Text Editor to open the variable containing the saved calculator Home screen entries. The saved entries are listed as a series of command lines that you can execute individually, in any order. 2. Starting with the cursor on the first line of the script, press - Texas Instruments TI-89 | User Manual - Page 213

... move information in the entry line, you must use a cut, copy, or paste operation. (You ... However, cutting deletes the information from its current location (used to move information) and copying leaves ... of the cursor, respectively. 2. Press ƒ and select 4:Cut or 5:Copy. Calculator Home Screen 213 - Texas Instruments TI-89 | User Manual - Page 214

...6x^2+8x @ Note: You can cut, copy or paste without having to use the ƒ toolbar menu. Press: 8 5, 8 6, or 8 7 Cutting is not the same as deleting. When ...This does not change the contents of the clipboard. 1. Position the cursor where you want to paste the information. Calculator Home Screen 214 - Texas Instruments TI-89 | User Manual - Page 215

... Press ƒ and select 6:Paste, or use the key shortcut: @ 87 Example: Copying and ... retyping it each time. 1. Copy the applicable information. a) Use ¤ B or ¤ A to highlight the expression. b) Press: @ 86 ... place the cursor where you want to paste the copied information. Calculator Home Screen 215... - Texas Instruments TI-89 | User Manual - Page 216

... by creating a user-defined function. 3. Paste the copied information into a different application. a) Press 8 # to display the Y= Editor. b) Press ¸ to define y1(x). c) Press... By copying and pasting, you can easily transfer information from one application to another. Calculator Home Screen 216 - Texas Instruments TI-89 | User Manual - Page 217

... Line When you press ¸ to evaluate an expression, the TI-89 Titanium leaves that expression on the entry line and highlights ... Next, reenter to increment the variable and calculate the square. TI-89 Titanium 0§ Display 2 ™ NUM ¸ NUM j « 1 § 2 ™ NUM 2 Ë NUM Z 2 ¸ Calculator Home Screen ... - Texas Instruments TI-89 | User Manual - Page 218

TI-89 Titanium Display ¸¸ Note: Reexecuting an entry "as is" is useful for iterative calculations that involve variables. Using the equation A=pr2... using 7.95 and continue until the answer is as accurate as you want. TI-89 Titanium 8§jR2 Ë 2TjRZ2 ¸ Display 8¸ Calculator Home Screen 218... - Texas Instruments TI-89 | User Manual - Page 219

TI-89 Titanium 7.95 ¸ Display A88 Note: When the entry contains a decimal point, the result is automatically displayed in floating-point. Recalling a Previous Entry You can recall any previous entry that is stored in the history area, even if the entry has scrolled off the top of the screen. ... - Texas Instruments TI-89 | User Manual - Page 220

... recalls this entry. Recalling the Last Answer Each time you evaluate an expression, the TI-89 Titanium stores the answer to the variable ans(1). To insert this variable in the entry line, press 2 ±. For example, calculate the area of a garden plot that... - Texas Instruments TI-89 | User Manual - Page 221

... you: Insert the variable ans(1), which contains the last answer only. Each time you enter a calculation, ans(1) is updated to the latest answer. Note: You can also paste information by using the ƒ toolbar menu. Calculator Home Screen 221 - Texas Instruments TI-89 | User Manual - Page 222

...up through the history area. You can use C to highlight items that have scrolled off ...long for one line (indicated by 8 at the end of the line), use B and A or 2 B and 2 A. The highlighted item is inserted ...entry or answer, edit the entry line to delete the unwanted parts. Calculator Home Screen 222 - Texas Instruments TI-89 | User Manual - Page 223

... the same expression (but with different values) multiple times. User-defined functions can also extend your TI-89 Titanium's capabilities beyond the built-in functions. Format of a Function The following examples show user-defined functions with one argument ... - Texas Instruments TI-89 | User Manual - Page 224

...y as the arguments when you evaluate the function. Creating a User-Defined Function Use one of the following methods. Method Description Store an expression to a ...) as an expression. Program Editor Refer to Programming or information on creating a user-defined function. Calculator Home Screen 224 - Texas Instruments TI-89 | User Manual - Page 225

...1 1 1 n n-1 1 When creating the definition of a multi-statement function, it may be helpful to visualize it first in a block form. Ê Func Ë Local temp,i If fPart(nn... EndFunc must begin and end the function. Ë Variables not in the argument list must be declared as local. Calculator Home Screen 225 - Texas Instruments TI-89 | User Manual - Page 226

...Î Returns the sum. When entering a multi-statement function on the calculator Home screen, you must enter the entire function on a single line. Use the... Use argument names that will never be used when calling the function or program. On the calculator Home screen: Multi-statement... - Texas Instruments TI-89 | User Manual - Page 227

Evaluating a Function You can use a user-defined function just as you would any ...-defined functions screen. You may need to use the „ View toolbar menu to specify the Function variable ...(Refer to Memory and Variable Management.) - or - Press: @ Display a list of Flash application functions Press: ... - Texas Instruments TI-89 | User Manual - Page 228

... cases, an entry or answer may be "too long" and/or "too tall" to be displayed completely in the history area. In other cases, the TI-89 Titanium may not be able to display an answer because there is not enough free memory. Calculator Home Screen 228 - Texas Instruments TI-89 | User Manual - Page 229

... Ì Press A or 2 A to scroll left Í Press B or 2 B to scroll right Ì Ë Í If There Is not Enough Memory A > symbol is displayed when the TI-89 Titanium does not have enough free memory to display the answer. Calculator Home Screen 229 - Texas Instruments TI-89 | User Manual - Page 230

... the problem into smaller parts that can be calculated and displayed with less memory. Using the Custom Menu The TI-89 Titanium has a custom menu that you can turn on and off at any time. You can use the default custom menu or create ... - Texas Instruments TI-89 | User Manual - Page 231

... the normal toolbar menu. When you turn it off, the normal menu returns. For example, from the calculator Home screen's normal toolbar menu, press 2 ½ to toggle the custom menu on and off. 2¾ Calculator Home screen normal toolbar menu Custom menu Note: You can also turn ... - Texas Instruments TI-89 | User Manual - Page 232

... is displayed and you want to restore the default: 1. From the calculator Home screen, use 2 ½ to turn off the custom menu and display the calculator Home screen's normal toolbar menu. 2. ... program again. 3. Press ¸ to execute the commands and restore the default. Calculator Home Screen 232 - Texas Instruments TI-89 | User Manual - Page 233

... to find out information about your TI-89 Titanium, particularly the software version and the unit's ID ...If you obtain new or upgraded software or Flash applications for your TI-89 Titanium, you may need to...unit. If you have difficulties with your TI-89 Titanium and need to contact technical support, ... - Texas Instruments TI-89 | User Manual - Page 234

The About screen displays the following information about your calculator Hardware version OS (Advanced Mathematics Software) version Product identifier (Product...for installing purchased Apps) Your screen will be different from the one shown above. Calculator Home Screen 234 - Texas Instruments TI-89 | User Manual - Page 235

...How Undefined and Defined Variables Are Treated When you enter an expression that contains a variable, the TI-89 Titanium treats the variable in one of two ways. • • If the variable is undefined, it is treated as an algebraic symbol. If the variable ... - Texas Instruments TI-89 | User Manual - Page 236

...expect. Note: When defining a variable, it's a good practice to use more than one character in the name....Leave one-character names undefined for symbolic calculations. Unless you knew that 5 had been ...name. If undefined, the variable name is displayed. Use the isVar() function. If defined, "true"... - Texas Instruments TI-89 | User Manual - Page 237

Method: Example: If defined, the variable's type is displayed. Use the getType function. If undefined, "NONE" is displayed. Note: Use 2 ° to view a list of defined variables, as described in Memory and Variable Management. Symbolic Manipulation 237 - Texas Instruments TI-89 | User Manual - Page 238

... delete: Do this: One or more specified variables Use the DelVar function. You can also delete variables by using the VAR-LINK screen (2 °) as described in Memory and Variable Management....type Note: The Deltype function deletes all Use the Deltype function. variables of the specified type ... - Texas Instruments TI-89 | User Manual - Page 239

...z) in the current folder. Note: For information about folders, refer to the Calculator Home Screen module. From the Home screen Clean Up menu,... to press ¸ to confirm the deletion. Temporarily Overriding a Variable By using the "with" operator ( | ), you can: • Temporarily override a variable's ... - Texas Instruments TI-89 | User Manual - Page 240

... mode settings, which are described briefly in Operating the Handheld, directly affect the precision and accuracy with which the TI-89 Titanium calculates a result. This section describes these mode settings as they relate to symbolic manipulation. EXACT ... - Texas Instruments TI-89 | User Manual - Page 241

..., but it is not displayed in the EXACT setting. Disadvantages As you use more complicated rational numbers and irrational constants, calculations can: • • • Use more memory, which may exhaust the memory before a solution is completed. Take more computing time.... - Texas Instruments TI-89 | User Manual - Page 242

... exact results. If you do not plan to use symbolic computations, approximate results are similar to familiar, traditional numeric calculators. Disadvantages Results with undefined variables or functions often exhibit incomplete cancellation. For example... - Texas Instruments TI-89 | User Manual - Page 243

... as solve determine as many solutions as possible exactly, and then use approximate numerical methods if necessary to determine additional solutions. Similarly, ä (integrate) uses approximate numerical methods if appropriate where exact symbolic methods ... - Texas Instruments TI-89 | User Manual - Page 244

Automatic Simplification When you type an expression on the entry line and press ¸, the TI-89 Titanium automatically simplifies the expression according to its default simplification rules. Default Simplification Rules All of the following rules are applied ... - Texas Instruments TI-89 | User Manual - Page 245

• • Numeric subexpressions are combined. Products and sums are sorted into order. Products and sums involving undefined variables are sorted according to the first letter of the variable name. Undefined variables r through z are assumed to be true variables, and are placed in alphabetical ... - Texas Instruments TI-89 | User Manual - Page 246

• Polynomial greatest common divisors are canceled. Polynomials are expanded unless no key cancellation can occur. • No key cancellation • Common denominators are formed unless no key cancellation can occur. No key cancellation • Functional identities are exploited. For example: ln(... - Texas Instruments TI-89 | User Manual - Page 247

...: solve(x^2NxN2=0,x) d(x^2NxN2,x) ‰(x^2NxN2,x) limit(x2NxN2,x,5) For a function that uses delayed simplification: 1. The var variable is simplified to the ... be further simplified to a non-variable value). 2. The function is performed using the variable. 3. If var can be further simplified, that ... - Texas Instruments TI-89 | User Manual - Page 248

... situation. For example: x cannot be simplified. x is not simplified. The function uses x3, and then substitutes 5 for x. Note: The example to ...would find the derivative of 75, which is not what you want. x is simplified to t. The function uses t3. x is simplified to t. The function uses t3, and... - Texas Instruments TI-89 | User Manual - Page 249

...operator ( | ), press: @ Í Substituting for a Variable For every occurrence of a specified variable, you can substitute a numeric value or an expression. First derivative of x3 at x = 5 To substitute for multiple variables at the same time, use the Boolean and operator. Symbolic Manipulation 249 - Texas Instruments TI-89 | User Manual - Page 250

... expression is a polynomial in terms of sin(x). By replacing a commonly used (or long) term, you can display ... variables are treated as real numbers in symbolic calculations. To perform complex symbolic analysis, you must .... For example: x+yi!z Then you can use z as a complex variable. You can also ... - Texas Instruments TI-89 | User Manual - Page 251

Note: • • For an overview of complex numbers, refer to the Technical Reference module. To get the complex i, press 2 ). Do not simply type the letter i on the keyboard. Be Aware of the Limitations of Substitutions • Substitution occurs only where there is an exact match for the ... - Texas Instruments TI-89 | User Manual - Page 252

• Infinite recursions can occur when you define a substitution variable in terms of itself. Substitutes sin(x+1), sin(x+1+1), sin(x+1+1+1), etc sin(x)|x=x+1 When you enter a substitution that causes an infinite recursion: An error message is displayed. - When you press N, an error is shown in... - Texas Instruments TI-89 | User Manual - Page 253

...expressions (either møc2=e or c2øm=e) may not work as you anticipate. No match for substitution Note: Use the solve function to help determine the single-variable substitution. Specifying Domain Constraints Many identities and transformations are valid for only... - Texas Instruments TI-89 | User Manual - Page 254

Note: Enter ln(x - Texas Instruments TI-89 | User Manual - Page 255

... the subsequent calculations.calculation. Caution: After x is defined, it can affect all calculations that involve x (until you delete x). Overview of the Algebra Menu You can use the „ Algebra toolbar menu to select the most commonly used algebraic functions. The ... - Texas Instruments TI-89 | User Manual - Page 256

... using 3 to set Exact/Approx = APPROXIMATE (or using 8 ¸ to evaluate an expression). Calculates a common denominator for all terms in an ...of a numerator and denominator. Returns an expression as a proper fraction expression. Calculates a single solution for an equation as a floatingpoint number (as ... - Texas Instruments TI-89 | User Manual - Page 257

Menu Item Trig Description Displays the submenu: tExpand - Expands trig expressions with angle sums and multiple angles. TCollect - Collects the products of integer powers of trig functions into angle sums and multiple angles. tCollect is the opposite of tExpand. Complex Displays the submenu: ... - Texas Instruments TI-89 | User Manual - Page 258

...of an equation or inequality. Note: The left and right functions are also used to return a specified number of elements or characters from the left or right side... Adding or Dividing Polynomials You can add or divide polynomials directly, without using a special function. Symbolic Manipulation 258 - Texas Instruments TI-89 | User Manual - Page 259

Factoring and Expanding Polynomials Use the factor („ 2) and expand („ 3) functions. factor(expression [,var]) for factoring with respect to a variable expand(expression [,var]) for partial expansion with respect to a variable Factor x5 N 1. Then expand the result. Notice that factor and expand... - Texas Instruments TI-89 | User Manual - Page 260

... of a variable. Do a full expansion of (x2Nx) (y2Ny) with respect to all variables. Then do a partial expansion with respect to x. Solving an Equation Use the solve („ 1) function to solve an equation for a specified variable. solve(equation, var) Solve x + y N 5 = 2x N 5y for x. Notice that ... - Texas Instruments TI-89 | User Manual - Page 261

To see intermediate results, you can manually solve the equation step-by-step. x « y | 5 Á 2x |...Lx + 7y = L12 To solve this system of equations, use any of the following methods. Method Example ...2xN3y=4 and Lx+7y=L12,{x,y}) solution. Use the solve function with substitution ( | ) for step-by-step ... - Texas Instruments TI-89 | User Manual - Page 262

... Enter the coefficients as a matrix and the results as a constant column matrix. Use the rref function with a matrix. Enter the coefficients as an augmented matrix. Note: The simult and rref matrix functions are not on the „ Algebra menu. Use 2 I 4 or the Catalog. Symbolic Manipulation 262 - Texas Instruments TI-89 | User Manual - Page 263

... an Expression Use the zeros („ 4) function. zeros(expression, var) Use the expression x sin(x) + cos(x). Find the zeros with respect to x in the interval 0 x and x 3. Note: For , or , type 8 Ã or 8 Â.You can Use the "with" operator to specify the interval. also use 2 ... - Texas Instruments TI-89 | User Manual - Page 264

Finding Proper Fractions and Common Denominators Use the propFrac („ 7) and comDenom („ 6) functions. propFrac(rational expression [,var]) for proper fractions with respect to a variable comDenom(expression [,var]) for common denominators that ... - Texas Instruments TI-89 | User Manual - Page 265

... 8 x x 15/8 is the quotient. 2 4 2 Overview of the Calc Menu You can use the ...Calc toolbar menu to select commonly used calculus functions. The Calc Menu From the Home screen, press ...to display: This menu is also available from the MATH menu. Press 2... - Texas Instruments TI-89 | User Manual - Page 266

... integrate limit Integrates an expression with respect to a specified variable. Calculates the limit of an expression with respect to a specified variable. ...an expression with respect to a specified variable. Calculates an integral as a floating-point number using quadrature (an approximation using ... - Texas Instruments TI-89 | User Manual - Page 267

... special symbol. It is not the same as typing the letter D on the keyboard. Use ...1 or 2 =. Common Calculus Operations This section gives examples ...the Technical Reference module. Integrating and Differentiating Use the ‰ integrate (...2) and d differentiate (...1) functions. ‰ (expression, var... - Texas Instruments TI-89 | User Manual - Page 268

Note: You can integrate an expression only; you can differentiate an expression, list, or matrix. Finding a Limit Use the limit (...3) function. limit(expression, var, point [,direction]) negative number = from left positive number= from right omitted number or 0 = both Find the limit of sin(3x) /... - Texas Instruments TI-89 | User Manual - Page 269

... to appear in a different form. User-Defined Functions and Symbolic Manipulation You can use a user-defined function as an argument for the TI-89 Titanium 's built-in algebra and calculus functions. Symbolic Manipulation 269 - Texas Instruments TI-89 | User Manual - Page 270

... a User-Defined Function Refer to Creating and Evaluating User-Defined Functions" in the Calculator Home Screen module. "Graphing a Function Defined on the Home Screen" and "Graphing a Piecewise Defined Function" in the Calculator Home Screen module. "Overview of ... - Texas Instruments TI-89 | User Manual - Page 271

...or press 2 < on the keyboard). To select taylor, press ...9. Multi-Statement vs. Single-Statement Functions Multi-statement user-defined functions should be used as an argument for numeric functions (such as nDeriv and nInt) only. Symbolic Manipulation ... - Texas Instruments TI-89 | User Manual - Page 272

In some cases, you may be able to create an equivalent single-statement function. For example, consider a piecewise function with two pieces. When: x - Texas Instruments TI-89 | User Manual - Page 273

... an equivalent single-statement user-defined function. Use the TI-89 Titanium's built-in when function. Then integrate y1(x) with respect to x. Note: To select ‰ from the .... If You Get an Out-of-Memory Error The TI-89 Titanium stores intermediate results in memory and then ... - Texas Instruments TI-89 | User Manual - Page 274

... unneeded history pairs. You can also use , 9 to reduce the number of history pairs that will be saved....APPROXIMATE. (For results that have a large number of digits, this uses less memory than AUTO or EXACT.... a few digits, this uses more memory.) Simplifying Problems • Split the problem into parts.... - Texas Instruments TI-89 | User Manual - Page 275

...fractional powers. Omit relatively small terms to find an approximation. Special Constants Used in Symbolic Manipulation The result of a calculation may include one of the special constants described in this section. In some cases, you may also need... - Texas Instruments TI-89 | User Manual - Page 276

... is numbered consecutively. After it reaches 255, arbitrary integer consecutive numbering restarts at @n0. Use Clean Up 2:NewProb to reset to @n1. Note: For @, press: 8 9 A solution is at every integer multiple of p. Both @n and @n2 represent any arbitrary integer, but ... - Texas Instruments TI-89 | User Manual - Page 277

... is numbered consecutively. After it reaches 255, arbitrary integer consecutive numbering restarts at @0. Use Clean Up 2:NewProb to reset to @1. ... the constant 2.71828...(base of the natural logarithms). These constants are often used in entries as well as results. Notes: For ˆ, press: @ 8* For e, ... - Texas Instruments TI-89 | User Manual - Page 278

undef This indicates that the result is undefined. Mathematically undefined „ˆ (undetermined sign) Non-unique limit Symbolic Manipulation 278 - Texas Instruments TI-89 | User Manual - Page 279

... Units Entering Constants or Units You can use a menu to select from a list of available constants and ... shows how to select a unit, but you can use the same general procedure to select a constant. ... Use D and C to move the cursor to the applicable category. Note: Use 2 D and 2 C to scroll one page at... - Texas Instruments TI-89 | User Manual - Page 280

... You can also move the cursor by typing the first letter of a unit. 6.3_pF If you know the abbreviation that the TI-89 Titanium uses for a particular constant or unit, you can type it directly from the keyboard. For example: 256_m • The first character ... - Texas Instruments TI-89 | User Manual - Page 281

Combining Multiple Units You may need to combine two or more units from different categories. For example, suppose you want to enter a velocity in meters per second. In the UNITS dialog box, however, the Velocity category does not contain this unit. You can enter meters per second by combining _m ... - Texas Instruments TI-89 | User Manual - Page 282

Using Parentheses with Units in a Calculation In a calculation, you may need to use parentheses ( ) to group a value and its units so that they are evaluated properly. This is particularly true for division problems. For example: To calculate: 100_m 2_s Enter: 100_m/(2_s) 50 • -----You ... - Texas Instruments TI-89 | User Manual - Page 283

... another in the same category, including any userdefined units. For All Units Except Temperature If you use a unit in a calculation, it is converted and displayed automatically in the current default unit for that category, unless you use the 4 conversion operator... - Texas Instruments TI-89 | User Manual - Page 284

If you want to convert to a unit other than the default, use the 4 conversion operator. expression_unit1 4 _unit2 For 4, press 2 4. To convert 4 light years to kilometers: 4_ltyr 4 _km To convert 186000 miles/second to kilometers/hour: 186000_mi/_s 4 _km/_hr Constants and Measurement Units 284 - Texas Instruments TI-89 | User Manual - Page 285

If an expression uses a combination of units, you can specify a conversion for some of the units only. Any units for which you do not specify a conversion will be displayed according to your defaults. To convert 186000 miles/second from miles to kilometers: 186000_mi/_s 4 _km Because a Time ... - Texas Instruments TI-89 | User Manual - Page 286

For Temperature Values To convert a temperature value, you must use tmpCnv( ) instead of the 4 operator. tmpCnv(expression_¡tempUnit1, _¡tempUnit2) For ¡, press 2 v" . For example, to convert 100_¡C to _¡F: tmpCnv(100_¡c, _¡f) 0 1 0 0 o C _ o _ F 3 2 2 1 2 Constants and Measurement Units... - Texas Instruments TI-89 | User Manual - Page 287

... Ranges To convert a temperature range (the difference between two temperature values), use @tmpCnv( ). @tmpCnv(expression_¡tempUnit1, _¡tempUnit2) For example, to convert a ... result is displayed in meters (even if you entered _km or _ft in the calculation). Constants and Measurement Units 287 - Texas Instruments TI-89 | User Manual - Page 288

If You're Using the SI or ENG/US System The SI and ENG/US systems of measurement (set from Page 3 of the MODE screen) use built-in default units, which you cannot change. The default units for these systems are available. If Unit System=SI or ... - Texas Instruments TI-89 | User Manual - Page 289

... your changes and exit the MODE screen. You can also move the cursor by typing the first letter of a unit. Notes: • • You can also use setUnits( ) or getUnits( ) to set or return information about default units. Refer to the Technical Reference module. When the CUSTOM UNIT DEFAULTS dialog box ... - Texas Instruments TI-89 | User Manual - Page 290

... of units as a single unit named _ms2. You want to calculate how many times someone blinks. You can use _blinks as a valid unit ... it from the UNITS dialog box menu. But you cannot use 3 to select the unit as a default for displayed results. Constants and Measurement Units ... - Texas Instruments TI-89 | User Manual - Page 291

Rules for User-Defined Unit Names The naming rules for units are similar to variables. • • Can have up to 8 characters. First character must be an underscore. For _, press: 85 Second character can be any valid variable name character except _ or a digit. For example, _9f is not valid. Remaining... - Texas Instruments TI-89 | User Manual - Page 292

...Assuming unit defaults for Length and Time are set to _m and _s. To calculate 195 blinks in 5 minutes as _blinks/_min: 195_blinks/(5_min) Assuming unit... User-defined units are displayed in lowercase characters, regardless of the case you use to define them. User-defined units such as _dm are stored... - Texas Instruments TI-89 | User Manual - Page 293

... of these from the UNITS dialog box. If you use 3 to set default units, note that categories with only ... The SI and ENG/US systems of measurement use built-in default units. In this section, the built-in defaults... (ENG/US). In some categories, both systems use the same default. Some categories do not ... - Texas Instruments TI-89 | User Manual - Page 294

...'M2_m3/_mol 8.8541878176204E'M12_F/_m 5.670400E'M8_W/_m2/_¡K4 2.06783372E'M15_Wb 1.2566370614359E'M6_N/_A2 9.27400949E'M24_J ø_m2/_Wb • The calculator simplifies unit expressions and displays results according to your default units. Therefore, constant values displayed on your screen may ... - Texas Instruments TI-89 | User Manual - Page 295

• These values represent the most up-to-date constants available at time of printing from the CODATA Internationally recommended values of the Fundamental Physical Constants available on the National Institute of Standards and Technology (NIST) web site. (http://physics.nist.gov/cuu/Constants/... - Texas Instruments TI-89 | User Manual - Page 296

Volume _cup _floz _flozUK _gal _galUK _l cup fluid ounce British fluid ounce gallon British gallon liter _ml _pt _qt _tbsp _tsp milliliter pint quart tablespoon teaspoon NONE (SI) (ENG/US) Time _day _hr _min _ms _ns day hour minute millisecond nanosecond _s _week _yr _ms second (SI) (ENG/US) week... - Texas Instruments TI-89 | User Manual - Page 297

Acceleration no pre-defined units Temperature _¡C _¡F ¡Celsius (For ¡, press 2 ".) ¡Fahrenheit _¡K _¡R ¡Kelvin ¡Rankine (no default) Luminous Intensity _cd candela (no default) Amount of Substance _mol mole (no default) Mass _amu _gm _kg _lb atomic mass unit gram kilogram (SI) pound... - Texas Instruments TI-89 | User Manual - Page 298

_mg _mton milligram metric ton _tonUK long ton Force _dyne _kgf _lbf dyne kilogram force pound force (ENG/US) _N _tonf newton (SI) ton force Energy _Btu _cal _erg _eV _ftlb British thermal unit (ENG/US) calorie erg electron volt foot-pound _J _kcal _kWh _latm joule (SI) kilocalorie kilowatt-... - Texas Instruments TI-89 | User Manual - Page 299

Pressure _atm _bar _inH2O _inHg _mmH2O atmosphere bar inches of water inches of mercury millimeters of water _mmHg _Pa _psi _torr millimeters of mercury pascal (SI) pounds per square inch (ENG/US) millimeters of mercury Viscosity, Kinematic _St stokes Viscosity, Dynamic _P poise Frequency _GHz ... - Texas Instruments TI-89 | User Manual - Page 300

Electric Current _A _kA ampere (SI) (ENG/US) kiloampere _mA _mA milliampere microampere Charge _coul coulomb (SI) (ENG/US) Potential _kV _mV kilovolt millivolt _V _volt volt (SI) (ENG/US) volt Resistance _kJ _MJ kilo ohm megaohm _ohm _J ohm ohm (SI) (ENG/US) Conductance _mho _mmho mho (ENG/US) ... - Texas Instruments TI-89 | User Manual - Page 301

Capacitance _F _nF farad (SI) (ENG/US) nanofarad _pF _mF picofarad microfarad Mag Field Strength _Oe oersted NONE (SI) (ENG/US) Mag Flux Density _Gs gauss _T tesla (SI) (ENG/US) Magnetic Flux _Wb weber (SI) (ENG/US) Inductance _henry _mH henry (SI) (ENG/US) millihenry _nH _mH nanohenry ... - Texas Instruments TI-89 | User Manual - Page 302

Basic Function Graphing Overview of Steps in Graphing Functions To graph one or more y(x) functions, use the general steps shown below. For a ... pages. You may not need to do all the steps each time you graph a function. Graphing Functions 1. Set Graph mode (3) to FUNCTION. Also... - Texas Instruments TI-89 | User Manual - Page 303

... the graph format if necessary. ƒ9 - or - 8Í 7. Graph the selected functions (8 %). Exploring the Graph From the Graph screen, you can: • • Display the coordinates of any pixel by using the free-moving cursor, or of a plotted point by ... - Texas Instruments TI-89 | User Manual - Page 304

... y(x) functions, you must select FUNCTION graphing. You may also need to set the Angle mode, which affects how the TI-89 Titanium graphs trigonometric functions. Graph Mode 1. Press 3 to display the MODE dialog box, which shows the current mode settings. ... - Texas Instruments TI-89 | User Manual - Page 305

... angle values. Checking the Status Line To see the current Graph mode and Angle mode, check the ... In FUNCTION graphing mode, you can graph functions named y1(x) through y99(x). To define and edit these functions, use the Y= Editor. (The Y= Editor lists function names for Basic Function Graphing 305 - Texas Instruments TI-89 | User Manual - Page 306

the current graphing mode. For example, in POLAR graphing mode, function names are r1(q), r2(q), etc.) Defining a New Function ... 4. Type the expression to define the function. • • The independent variable in function graphing is x. The expression can refer to other variables, including matrices, ... - Texas Instruments TI-89 | User Manual - Page 307

The function list now shows the new function, which is automatically selected for graphing. Note: If you accidentally move the cursor to the entry .... The function list now shows the edited function, which is automatically selected for graphing. Note: To cancel any editing changes, press N instead of ... - Texas Instruments TI-89 | User Manual - Page 308

... erase any stat plots. You don't have to clear a function to prevent it from being graphed. You can select the functions you want to graph. Shortcuts to Move the Cursor From the Y= Editor: Press: To: Go to function 1 or to the last defined function, respectively. If the... - Texas Instruments TI-89 | User Manual - Page 309

...and evaluate a function from the Home screen or a program. • Use the Define and Graph commands. Refer ... in the Y= Editor, use function names y1(x), y2(x), etc. Selecting Functions to Graph Regardless ...you can select the ones you want to graph. Selecting or Deselecting Functions Press 8 # to display... - Texas Instruments TI-89 | User Manual - Page 310

Selected If PLOT numbers are displayed, those stat plots are selected. In this example, Plots 1 and 2 are selected. To view them, scroll above y1=. Deselected To select or deselect: A specified function Do this: • • Move the cursor to highlight the function. Press - Texas Instruments TI-89 | User Manual - Page 311

• • Use the FnOn and FnOff commands (available from the Home screen's - Texas Instruments TI-89 | User Manual - Page 312

... Line as the style for all functions, press ‡ and select 4:Reset Styles. If You Use Above or Below Shading The TI-89 Titanium has four shading patterns, used on a rotating basis. If you set one function as shaded, it uses the first pattern. ... - Texas Instruments TI-89 | User Manual - Page 313

... window represents the portion of the coordinate plane displayed on the Graph screen. By setting Window variables, you can...boundaries and other attributes. Function graphs, parametric graphs, etc., have their own .... yscl xmax xmin Corresponding Viewing Window (shown on Graph screen) Basic Function ... - Texas Instruments TI-89 | User Manual - Page 314

...axes. Sets pixel resolution (1 through 10) for function graphs. The default is 2. • • At 1, functions are evaluated and ... the x axis. At 10, functions are evaluated and graphed at every 10th pixel along the x axis...=0 and/or yscl=0. Small values of xres improve the graph's resolution but may reduce... - Texas Instruments TI-89 | User Manual - Page 315

... and Recalling Variable Values" in Operating the Calculator. Changing the Graph Format You can set ... Graph Format Settings From the Y= Editor, Window Editor, or Graph screen, press ƒ and select 9:Format. ...change, press N. You also can display the GRAPH FORMATS dialog box from the Y= Editor, Window ... - Texas Instruments TI-89 | User Manual - Page 316

... Order Description Graphs functions one at a time (SEQ) or all at the same time (SIMUL...) a reference cursor that tracks the functions as they are graphed. Shows (ON) or hides (OFF) labels for the x and... that xscl and/or yscl = 0. Changing Settings From the GRAPH FORMATS dialog box: 1. Move the cursor... - Texas Instruments TI-89 | User Manual - Page 317

.... Displaying the Graph Screen Press 8 %. The TI-89 Titanium automatically graphs the selected functions. BUSY indicator shows while graphing is in progress. If you select an „ Zoom operation from the Y= Editor or Window Editor, the TI-89 Titanium automatically displays the Graph screen... - Texas Instruments TI-89 | User Manual - Page 318

• • To pause graphing temporarily, press ¸. (The PAUSE indicator replaces BUSY.) To resume, press ¸ again. To cancel graphing, press ´. To start graphing again from the beginning, press - Texas Instruments TI-89 | User Manual - Page 319

... Cursor To display the coordinates of any location on the Graph screen, use the free-moving cursor. You ... any pixel on the screen; the cursor is not confined to a graphed function. Free-Moving Cursor When you ... screen does not show coordinates, set the graph format so that Coordinates = RECT or POLAR.... - Texas Instruments TI-89 | User Manual - Page 320

... coordinates are for the center of the pixel, not the function. To increase the accuracy: • • Use the Trace tool described on the next page to display coordinates that are on the function. Use a Zoom operation to zoom in on a portion of the graph. Basic Function Graphing 320 - Texas Instruments TI-89 | User Manual - Page 321

... the exact coordinates of any plotted point on a graphed function, use the ...Trace tool. Unlike the free-moving cursor, the trace cursor moves only along... are displayed at the bottom of the screen. If multiple functions are graphed, the trace cursor appears on the lowest-numbered function ... - Texas Instruments TI-89 | User Manual - Page 322

..., not the pixel. If your screen does not show coordinates, set the graph format so that Coordinates = 8Í RECT or POLAR. Press: Each displayed y...coordinate values show its correct coordinates. Note: Use QuickCenter to trace a function that goes above or below the window. Basic Function Graphing 322 - Texas Instruments TI-89 | User Manual - Page 323

... functions in the Y= Editor, not the appearance of the functions as graphed on the screen. Automatic Panning If you ... is a slight pause while the new portion of the graph is drawn. Before automatic pan After ... are displayed or if a function uses a shaded display style. Basic Function Graphing 323... - Texas Instruments TI-89 | User Manual - Page 324

... canceled when you display another application screen such as the Y= Editor. When you return to the Graph screen and press ...to begin tracing: • • ... the cursor appears at its previous location (before you displayed the other application). Basic Function Graphing 324 - Texas Instruments TI-89 | User Manual - Page 325

... items, refer to the Technical Reference module. Note: If you select a Zoom tool from the Y=Editor or Window Editor, the TI-89 Titanium automatically displays the Graph screen. Zoom Tool ZoomBox ZoomIn, ZoomOut ZoomDec ZoomSqr Description Lets you draw a ... - Texas Instruments TI-89 | User Manual - Page 326

... yscl = 1 Sets Window variables to preset values that are often appropriate for graphing trig functions. Centers the origin and sets: @x = p/24... the full range of dependent variable values for the selected functions. In function graphing, this maintains the current xmin and xmax and adjusts ymin and ... - Texas Instruments TI-89 | User Manual - Page 327

...: To move the cursor in larger y1(x)=2øsin(x) increments, use 2 B, 2 D, etc. 3. Move the cursor to the opposite corner of the ... the area you want to zoom in on, press ¸. The Graph screen shows the zoomed area. You can cancel ZoomBox by pressing N before you press ¸. Basic Function Graphing 327 - Texas Instruments TI-89 | User Manual - Page 328

... prompts for New Center? 2. Move the cursor to the point where you want to zoom in or out, and then press ¸. The TI-89 Titanium adjusts the Window variables by the Zoom factors defined in SetFactors. • For a ZoomIn, the x variables are divided by xFact, and the y ... - Texas Instruments TI-89 | User Manual - Page 329

... changes and exit the dialog box. Saving or Recalling a Viewing Window After using various Zoom tools, you may want to return to a previous ... window or save the current one. 1. From the „ Zoom menu, select B:Memory to display its submenu. 2. Select the applicable item. Basic Function Graphing 329 - Texas Instruments TI-89 | User Manual - Page 330

...their default values at any time. From the „ Zoom menu, select 6:ZoomStd. Using Math Tools to Analyze Functions On the Graph screen, the ‡ Math toolbar menu has several tools that help you analyze graphed functions. Basic Function Graphing 330 - Texas Instruments TI-89 | User Manual - Page 331

Overview of the Math Menu Press ‡ from the Graph screen. On the Derivatives submenu, only dy/dx is ... graphing. The other derivatives are available for other graphing modes (parametric, polar, etc.). Math Tool ... along a curve. ‰f(x)dx Inflection Distance Tangent Arc Basic Function Graphing 331 - Texas Instruments TI-89 | User Manual - Page 332

Math Tool Shade Description Depends on the number of functions graphed. • • If only one function is... the x axis. If two or more functions are graphed, this shades the area between any two ... variable sysMath. Finding y(x) at a Specified Point 1. From the Graph screen, press ‡ and select 1:Value.... - Texas Instruments TI-89 | User Manual - Page 333

..., Minimum, or Maximum within an Interval 1. From the Graph screen, press ‡ and select 2:Zero, 3:Minimum, or 4:Maximum. 2. As necessary, use D and C to select.... 2. Select the first function, using D or C as necessary, and press ¸. The cursor moves to the next graphed function. 3. Select the second ... - Texas Instruments TI-89 | User Manual - Page 334

... at that point is displayed. Finding the Numerical Integral over an Interval 1. From the Graph screen, press ‡ and select 7:‰f(x)dx. 2. As necessary, use D and C to select the applicable function. Note: Typing x values is a quick ... - Texas Instruments TI-89 | User Manual - Page 335

3. Set the lower limit for x. Either use A and B to move the cursor to the lower limit or type its x value. 4. Press ¸. A 4 at the top of the screen marks the lower limit. Note: To erase the shaded area, press - Texas Instruments TI-89 | User Manual - Page 336

... the second point. (If you use the cursor to set the point, a line is drawn as you move the ... the two points is displayed, along with the connecting line. Drawing a Tangent Line 1. From the Graph screen, press ‡ and select A:Tangent. 2. As necessary, use D and C to select the applicable function. ... - Texas Instruments TI-89 | User Manual - Page 337

Finding an Arc Length 1. From the Graph screen, press ‡ and select B:Arc. 2. As necessary, use D and C to select the applicable function. 3. Set ..., the Shade tool shades the area between two functions. 1. From the Graph screen, press ‡ and select C:Shade. The screen prompts ... - Texas Instruments TI-89 | User Manual - Page 338

3. Set the lower bound for x. Either use A and B to move the cursor to the lower bound or type its x value. Note: If you do not press A...B, or type an x value when setting the lower and upper bound, xmin and xmax will be used as the lower and upper bound, respectively. 4. Press ¸. A 4 at the top of ... - Texas Instruments TI-89 | User Manual - Page 339

6. Set the lower bound for x. Either use A and B to move the cursor to the lower bound or type its x value. Note: If you do not press A...B, or type an x value when setting the lower and upper bound, xmin and xmax will be used as the lower and upper bound, respectively. 7. Press ¸. A 4 at the top of ... - Texas Instruments TI-89 | User Manual - Page 340

Polar Graphing Overview of Steps in Graphing Polar Equations To graph polar equations, use the same general steps used for y(x) functions as described in Basic Function Graphing. Any differences that .... Graphing Polar Equations 1. Set Graph mode (3) to POLAR. Also set Angle mode, if necessary. ... - Texas Instruments TI-89 | User Manual - Page 341

... graph format if necessary. ƒ9 - or - 8Í 7. Graph the selected equations (8 %). Exploring the Graph From the Graph screen, you can: • Display the coordinates of any pixel by using the free-moving cursor, or of a plotted point by tracing ... - Texas Instruments TI-89 | User Manual - Page 342

...„ Zoom toolbar menu to zoom in or out on a portion of the graph. Use the ‡ Math toolbar menu to find derivatives... apply to polar equations. Setting the Graph Mode Use 3 to set Graph = POLAR before you define... Editor let you enter information for the current Graph mode setting only. You should also... - Texas Instruments TI-89 | User Manual - Page 343

... maintains an independent function list for each Graph mode setting. For example, suppose: • • In FUNCTION ... maintains independent function lists). Polar graphs use the following Window variables. Variable Description Smallest and largest q values to evaluate. qmin, qmax Polar Graphing 343 - Texas Instruments TI-89 | User Manual - Page 344

.... qstep xmin, xmax, ymin, ymax xscl, yscl Note: You can use a negative qstep. If so, qmin must be greater than qmax. Standard ... the q variables (qmin, qmax, qstep) to ensure that enough points are plotted. Setting the Graph Format To display coordinates as r and q values, use: Polar Graphing 344 - Texas Instruments TI-89 | User Manual - Page 345

...POLAR. If Coordinates = RECT, the polar equations will be graphed properly, but coordinates will be displayed as x and ...graphing, you can explore a graph by using the following tools. Any displayed coordinates are shown in polar or rectangular form as set in the graph format. Tool Free-Moving Cursor ... - Texas Instruments TI-89 | User Manual - Page 346

...the cursor location. Automatic panning is not available. If you move the cursor off the left or right side of the screen, the TI-89 Titanium / Voyage™ 200 Graphing Calculator will not automatically pan the viewing window. However, you can use QuickCenter. ...... - Texas Instruments TI-89 | User Manual - Page 347

... Graphing Overview of Steps in Graphing Parametric Equations To graph parametric equations, use the same general steps used for y(x) functions as described in Basic Function Graphing. Any differences ...following pages. Graping Parametic Equations 1. Set Graph mode (3) to PARAMETRIC. Also set Angle ... - Texas Instruments TI-89 | User Manual - Page 348

... graph format if necessary. ƒ9 - or - 8Í 7. Graph the selected equations (8 %). Exploring the Graph From the Graph screen, you can: • Display the coordinates of any pixel by using the free-moving cursor, or of a plotted point by tracing ... - Texas Instruments TI-89 | User Manual - Page 349

... Zoom toolbar menu to zoom in or out on a portion of the graph. Use the ‡ Math toolbar menu to find ... apply to parametric equations. Setting the Graph Mode Use 3 to set Graph = PARAMETRIC before you ... one component, the equation cannot be graphed. (However, you can use single components to generate ... - Texas Instruments TI-89 | User Manual - Page 350

... tcos, not as implied multiplication. In most cases, this refers to a nonexistent function. So the TI-89 Titanium simply returns the function name, not a number. Note: When using t, be sure implied multiplication is valid for your situation. You ... - Texas Instruments TI-89 | User Manual - Page 351

... for either the x or y component. For example, if you set the x component to Dot, the TI-89 Titanium automatically sets the y component to Dot. Note: Use the Animate and Path styles for interesting projectile-motion effects. The Above and Below ... - Texas Instruments TI-89 | User Manual - Page 352

..., tstep) to ensure that enough points are plotted. Exploring a Graph As in function graphing, you can explore a graph by using the following tools. Note: During a trace, you can ...is still on the screen. Tool Free-Moving Cursor For Parametric Graphs: Works just as it does for function graphs.... - Texas Instruments TI-89 | User Manual - Page 353

... on the cursor location. Automatic panning is not available. If you move the cursor off the left or right side of the screen, the TI-89 Titanium will not automatically pan the viewing window. However, you can use QuickCenter. • ‡ Math Only 1:Value, 6:... - Texas Instruments TI-89 | User Manual - Page 354

... Sequences To graph sequences, use the same general steps used for y(x) functions as described in Basic Function Graphing. Any differences are described on the following pages. Graphing Sequences 1. Set Graph mode (3) to SEQUENCE. Also set Angle mode, if necessary. ... - Texas Instruments TI-89 | User Manual - Page 355

...the graph format if necessary. ,9 - or - 8Í 7. Graph the selected equations (8 %). Exploring the Graph From the Graph screen, you can Display the coordinates of any pixel by using the free-moving cursor, or of a plotted point by tracing a... - Texas Instruments TI-89 | User Manual - Page 356

...differences that apply to sequences. Setting the Graph Mode Use 3 to set Graph = SEQUENCE before you ...Editor let you enter information for the current Graph mode setting only. Defining Sequences ...more initial values. Enter {1,0} even though {1 0} is shown in the sequence list. Sequence Graphing 356 - Texas Instruments TI-89 | User Manual - Page 357

..., Axes lets you select the axes that are used to graph the sequences. Optionally, for sequences only, ... maintains an independent function list for each Graph mode setting. For example, suppose: • • In FUNCTION ... to SEQUENCE graphing mode, your u(n) sequences are still defined. Note: You can use ... - Texas Instruments TI-89 | User Manual - Page 358

Selecting Sequences With TIME and WEB axes, the TI-89 Titanium graphs only the selected sequences. If you entered any sequences that require an initial value, you must enter the corresponding ui value. Note: With TIME and CUSTOM axes, all defined ... - Texas Instruments TI-89 | User Manual - Page 359

...maintains an independent set of Window variables for each Graph mode setting (just as the Y= Editor maintains independent function lists). Sequence graphs use the following Window variables. Variable ... but not plotted. Incremental n value for graphing only. This does not affect how the sequence... - Texas Instruments TI-89 | User Manual - Page 360

... of a recursive sequence. This graph is plotted beginning with the 1st term. plotStrt=1 This graph is plotted beginning with the 9th term. plotStrt=9 Note: Both of these graphs use the same Window variables, except for plotstrt. Sequence Graphing 360 - Texas Instruments TI-89 | User Manual - Page 361

...could set xmin = first n value to graph xmax = nmax (although you can use other values) ymin ...in function graphing, you can explore a graph by using the following tools. Any displayed coordinates are shown in rectangular or polar form as set in the graph format. Tool Free-Moving Cursor For Sequence... - Texas Instruments TI-89 | User Manual - Page 362

... Graphs: Works just as it does for function graphs. • • Only x (xmin, xmax, xscl) and y (ymin,...values). „ Zoom ...Trace Depending on whether you use TIME, CUSTOM, or WEB axes, Trace ... y depend on the axes you choose. ‡ Math Only 1:Value is available for sequence graphs. • • Sequence ... - Texas Instruments TI-89 | User Manual - Page 363

...Plots For sequences only, you can select different types of axes for the graph. Examples of the different types are given later in this module. Displaying .... Active only when Axes = WEB, this specifies whether a web is drawn manually (TRACE) or automatically (AUTO). Build Web Sequence Graphing 363 - Texas Instruments TI-89 | User Manual - Page 364

...types of dialog boxes, such as the MODE dialog box. Using Web Plots A web plot graphs u(n) vs. u(nN1), which lets you study the long-term behavior of... except itself. When You Display the Graph Screen After you select WEB axes and display the Graph screen, the TI-89 Titanium: Sequence Graphing 364 - Texas Instruments TI-89 | User Manual - Page 365

... ( n - 1 ) and an initial value of ui1=1. 5-x. For example, consider the sequence u1(n) = The TI-89 Titanium draws the y=x reference line and then plots y = y = Drawing the Web After the sequence is plotted, the web may be displayed manually or ... - Texas Instruments TI-89 | User Manual - Page 366

... nmin=1 nmax=25 plotstrt=1 plotstep=1 xmin=0 xmax=25 xscl=1 ymin=L10 ymax=10 yscl=1 4. Graph the sequence (8 %). By default, a sequence uses the Square display style. u(n) n 5. On the Y= Editor, set Axes = WEB and Build Web = AUTO. Sequence Graphing 366 - Texas Instruments TI-89 | User Manual - Page 367

...) and u(n), respectively). As you trace to larger values of nc, you can see xc and yc approach the convergence point. Note: When the nc value changes, the cursor is on the sequence. The next time you press B, nc stays the same but the cursor is now on the y=x reference line. Sequence Graphing 367 - Texas Instruments TI-89 | User Manual - Page 368

... nmax=10 plotstrt=1 plotstep=1 xmin=0 xmax=10 xscl=1 ymin=L75 ymax=10 yscl=1 4. Graph the sequence (8 %). Because the sequence quickly diverges to large negative values, only a few points .... nmin=0 nmax=10 plotstrt=1 plotstep=1 xmin=L10 xmax=10 xscl=1 ymin=L10 ymax=10 yscl=1 Sequence Graphing 368 - Texas Instruments TI-89 | User Manual - Page 369

...initial value can affect a sequence. 1. On the Y= Editor (8 #), use the same sequence defined in the divergence example:...xmin=0 xmax=100 xscl=10 ymin=0 ymax=5 yscl=1 4. Graph the sequence (8 %). Note: Compare ...value. 5. On the Y= Editor, set Axes = WEB and Build Web = AUTO. n Sequence Graphing 369 - Texas Instruments TI-89 | User Manual - Page 370

... orbit is shown more clearly. Using Custom Plots CUSTOM axes give you great flexibility in graphing sequences. As shown in the following example, CUSTOM axes are particularly effective for showing relationships between one sequence and another. Sequence Graphing 370 - Texas Instruments TI-89 | User Manual - Page 371

Example: Predator-Prey Model Using the predator-prey model in biology, determine the numbers of rabbits ...rabbits Growth rate of rabbits if there are no foxes (use .05) Rate at which foxes can kill rabbits ...of foxes Growth rate of foxes if there are rabbits (use .0002) Death rate of foxes if there are ... - Texas Instruments TI-89 | User Manual - Page 372

... plotstrt=1 plotstep=1 xmin=0 xmax=400 xscl=100 ymin=0 ymax=300 yscl=100 4. Graph the sequence (8 %). Note: Use ...to individually u(n) u1(n) u2(n) trace the number of ... of u2(n) rabbits (xc) and foxes (yc) over the cycle of 400 generations. u1(n) Sequence Graphing 372 - Texas Instruments TI-89 | User Manual - Page 373

Using a Sequence to Generate a Table Previous sections described how to graph a sequence. You can also use a sequence to generate a table. Refer to Tables for ...1 @tbl = 1 Independent = AUTO This item is dimmed if you are not using TIME axes. Sequence Graphing 373 - Texas Instruments TI-89 | User Manual - Page 374

3. Set Window variables (8 $) so that nmin has the same value as tblStart. 4. Display the table (8 '). Fibonacci sequence is in column 2. 5. Scroll down the table (D or 2 D) to see more of the sequence. Sequence Graphing 374 - Texas Instruments TI-89 | User Manual - Page 375

3D Graphing Overview of Steps in Graphing 3D Equations To graph 3D equations, use the same general steps used for y(x) functions as described in Basic Function Graphing. Any differences that apply.... Graphing 3D Equations 1. Set Graph mode (3) to 3D. Also set Angle mode, if necessary. ... - Texas Instruments TI-89 | User Manual - Page 376

...the graph format if necessary. ƒ9 - or 8Í Note: To help you see the orientation of 3D graphs, turn on Axes and Labels. 6....Before displaying the graph, the screen shows the "percent evaluated." Exploring the Graph From the Graph screen, you can Trace the equation. Use the „ Zoom toolbar menu to... - Texas Instruments TI-89 | User Manual - Page 377

... apply to 3D equations. Setting the Graph Mode Use 3 to set Graph = 3D before you ... Editor maintains an independent function list for each Graph mode setting. For example, suppose: • In FUNCTION ... define a set of y(x) functions. You change to 3D graphing mode and define a set of z(x,y) equations. ... - Texas Instruments TI-89 | User Manual - Page 378

... you return to 3D graphing mode, your z(x,y) equations are still defined. Note: You can use the ... Y= Editor maintains independent function lists). 3D graphs use the following Window variables. Variable eyeq, eyef, eyeψ Description Angles (always in degrees) used to view the graph. 3D Graphing 378... - Texas Instruments TI-89 | User Manual - Page 379

...the grid lines (or grid wires) intersect. The incremental value along x and y is calculated as: - xmin x increment = xmax xgrid - ymin y increment = ymax ygrid The...z(xmax,ymin) ncontour z(xmax,ymax) The number of contours evenly distributed along the displayed range of z values. 3D Graphing 379 - Texas Instruments TI-89 | User Manual - Page 380

.... Note: Increasing the grid variables decreases the graphing speed. Setting the Graph Format The Axes and ..., you can explore a graph by using the following tools. Any displayed coordinates are shown in .... In 3D graphing, cylindrical coordinates are shown when you use use: ƒ9 - or - 3D Graphing 380 - Texas Instruments TI-89 | User Manual - Page 381

... = POLAR. Tool Free-Moving Cursor For 3D Graphs: The free-moving cursor is not available. Works essentially the same as it does for function graphs, but remember that you are now using three dimensions instead ...the viewing cube boundaries set by xmin, xmax, ymin, and ymax. • 3D Graphing 381 - Texas Instruments TI-89 | User Manual - Page 382

...Graphs: Only 1:Value is available for 3D graphs. This tool displays the z value for a specified x and y value....obvious why the cursor moves as it does. 3D graphs have two independent variables (x,y) instead... have a different orientation than other graphing modes. How to Move the Cursor On a 3D surface... - Texas Instruments TI-89 | User Manual - Page 383

... confusing unless you know the orientation of the axes. In 2D graphing, the x and y axes always have the same orientation ... their labels from the Y= Editor, Window Editor, or Graph screen, use: 8Í Simple Example of Moving the Cursor The following graph shows a sloped plane that has the equation z1... - Texas Instruments TI-89 | User Manual - Page 384

When you press ..., the trace cursor appears at the midpoint of the xy grid. Use the cursor pad to move the cursor to any edge. B moves in a positive x ...the cursor may appear as if it is not on a grid point. This is an optical illusion caused when the cursor is on a hidden surface. 3D Graphing 384 - Texas Instruments TI-89 | User Manual - Page 385

For example, consider a saddle shape z1(x,y) = (x2Ny2) / 3. The following graph shows the view looking down the y axis. Now look at the same shape at 10¡ ... to be on the 3D surface at all. This occurs when the z axis is too short to show z(x,y) for the corresponding x and y values. 3D Graphing 385 - Texas Instruments TI-89 | User Manual - Page 386

..., suppose you trace the paraboloid z(x,y) = x2 + .5y2 graphed with the indicated Window variables. You can easily ...). Rotating and/or Elevating the Viewing Angle In 3D graphing mode, the eyeq and eyef Window ... sight. The eyeψ Window variable lets you rotate the graph around that line of sight. 3D ... - Texas Instruments TI-89 | User Manual - Page 387

... - angle in degrees from the Y positive z axis. eyeψ - angle in degrees by which the graph is rotated counter-clockwise around the line of sight set by eyeq and eyef. ... the Window Editor (8 $), always enter eyeq, eyef, and eyeψ in degrees, regardless of the current angle mode. 3D Graphing 387 - Texas Instruments TI-89 | User Manual - Page 388

Effect of Changing eyeq theta The view on the Graph screen is always oriented along the viewing angle. From this point of view, you can change eyeq to rotate the ...= (x3y - y3x) / 390 In this example eyef = 70 eyeq = 20 eyeq = 50 eyeq = 80 Note: This example increments eyeq by 30. 3D Graphing 388 - Texas Instruments TI-89 | User Manual - Page 389

...decrements eyef by 20 to elevate the viewing angle. Effect of Changing eyeψ psi The view on the Graph screen is always oriented along the viewing angles set by eyeq and eyef. You can change eyeψ to rotate the graph around that line of sight. 3D Graphing 389 - Texas Instruments TI-89 | User Manual - Page 390

... distortion as shown in the example. In this example, eyeq=20 and eyef=70 eyeψ = 0 z1(x,y)=(x y-y x) / 390 3 3 eyeψ = 45 eyeψ = 90 When eyeψ=0, the z axis runs the height of the screen. z=10 z=ë10 When eyeψ=90, the z axis runs the width of the screen. z=10 z=ë10 3D Graphing 390 - Texas Instruments TI-89 | User Manual - Page 391

.... You can also press 2 G and use the Greek menu. Animating a 3D Graph Interactively After plotting any 3D graph, you can change the viewing angle interactively by using the cursor. The Viewing Orbit When using A and B to animate a graph, think of it as moving the viewing angle along its "... - Texas Instruments TI-89 | User Manual - Page 392

... viewing orbit's elevation. C or D (primarily increases or decreases eyef) Animate the graph continuously. Press and hold the cursor for about 1 ... the eye Window variables). Change the viewing angle of a nonanimated graph to look along the x, y, or z axis. Press X, Y or Z, respectively. Return to ... - Texas Instruments TI-89 | User Manual - Page 393

... the Window variable values, particularly eyeψ, which rotates the graph. Changing the Axes and Style Formats With its default settings, the TI-89 Titanium displays hidden surfaces on a 3D graph but does not display the axes. However, you can change ... - Texas Instruments TI-89 | User Manual - Page 394

- or 8Í • • The dialog box shows the current graph format settings. To exit without making a change, press N. To change any of these settings, use the same procedure that you use to ... zmin = L10 and xmax = ymax = zmax = 10, the origin is at the center of the box. 3D Graphing 394 - Texas Instruments TI-89 | User Manual - Page 395

...of Style Settings Note: WIRE FRAME is faster to graph and may be more convenient when you're ...of Possible Optical Illusions The eye angles used to view a graph (eyeq, eyef, and eyeψ Window... optical illusions that cause you to lose perspective on a graph. Typically, most optical illusions occur when ... - Texas Instruments TI-89 | User Manual - Page 396

...two examples show the graphs as displayed on the screen. The second two examples use artificial shading ...front of the box. To minimize the effect of optical illusions, use the GRAPH FORMATS dialog box to set ... plot, a line is drawn to connect adjacent points on the 3D graph that have the same z value... - Texas Instruments TI-89 | User Manual - Page 397

... any 3D equation, with the following exception. Display the GRAPH FORMATS dialog box by pressing ƒ 9 from the Y= Editor,... can change the viewing angle as necessary. The graph is shown in expanded view. To switch between ... LEVELS does not affect the viewing angle, view, or Labels 397 • 3D Graphing - Texas Instruments TI-89 | User Manual - Page 398

... CONTOUR LEVELS WIRE AND CONTOUR Note: These examples use the same x, y, and z Window variable values as a ZoomStd viewing cube. If you use ZoomStd, press Z to look down the z axis. Do not confuse the contours with the grid lines. The contours are darker. 3D Graphing 398 - Texas Instruments TI-89 | User Manual - Page 399

... default is 5. You can set this to 0 through 20. If ncontour=5 and you use the standard viewing window (zmin=L10 and zmax=10) , the increment is 3.333....333, 0, 3.333, and 6.666. Note, however, that a contour is not drawn for a z value if the 3D graph is not defined at that z value. 3D Graphing 399 - Texas Instruments TI-89 | User Manual - Page 400

...Value of a Selected Point Interactively If a contour graph is currently displayed, you can specify ...Then press ¸. For example, suppose the current graph is z1(x,y)=x2+.5y2-5. If you ...drawn for z=3.5. Note: Any existing contours remain on the graph. To remove the default contours, display the Window ... - Texas Instruments TI-89 | User Manual - Page 401

... To remove the default contours, use 8 $ and set ncontour=0. The specified contours are drawn on the current 3D graph. (A contour is not drawn if the specified z value is outside the viewing cube or if the 3D graph is not defined at that z value.) Notes about Contour Plots For a ... - Texas Instruments TI-89 | User Manual - Page 402

...'re sure you have the correct Window variable values, display the Graph Formats dialog box and set Style=CONTOUR LEVELS ... can express the complex surface equation as z(x,y)=abs((x+yi)3+1). 1. Use 3 to set Graph=3D. 2. Press 8 #, and define the equation: z1(x,y)=abs((x+yùi)^3+1) 3. Press 8 $, and ... - Texas Instruments TI-89 | User Manual - Page 403

..., set Style = CONTOUR LEVELS, and return to the Window editor. 5. Press 8 % to graph the equation. It will take awhile to evaluate the graph; so be ... the zero. The zero is precise when z=0. 7. Press N. Then use the cursor keys to animate the graph and view it from different eye angles. This example... - Texas Instruments TI-89 | User Manual - Page 404

... evaluation time. When you animate the graph, the screen changes to normal view. Use p to toggle between normal... views. Implicit Plots An implicit plot is used primarily as a way to graph 2D implicit forms that...Explicit and Implicit Forms In 2D function graphing mode, equations have an explicit form ... - Texas Instruments TI-89 | User Manual - Page 405

... using implicit plots in 3D graphing mode, you can graph these implicit ...5y2-30. Notes: You can also graph many implicit forms if you .... Break them into separate, explicit functions. Selecting the Graph Format Style In 3D... mode, define an appropriate equation and graph it as you would any 3D equation... - Texas Instruments TI-89 | User Manual - Page 406

Note: From the Graph screen, you can switch to the other graph format styles by and then set Style = IMPLICIT PLOT. pressing: Í However, to return to ... is set to OFF automatically. x2-y2=4 z1(x,y)=x2-y2-4 sin(x)+cos(y)= e(xùy) z1(x,y)=sin(x)+cos(y)-e(xùy) Style IMPLICIT PLOT 3D Graphing 406 - Texas Instruments TI-89 | User Manual - Page 407

.... However, you can trace the unseen wire frame graph of the 3D equation. It may take awhile to evaluate the...of a More Complicated Equation You can use the IMPLICIT PLOT graph format style to plot and animate a complicated equation that cannot be graphed otherwise. Although it may take a long time to ... - Texas Instruments TI-89 | User Manual - Page 408

Example Graph the equation sin(x 4+y-x3 y) = .1. 1. Use 3 to set Graph=3D. 2. Press 8 #, and define the equation: z1(x,y)=sin(x^4+y- x^3y)-.1 3. ...the axes, set Style = IMPLICIT PLOT, and return to the Window editor. 5. Press 8 % to graph the equation. It will take awhile to evaluate the graph; so be ... - Texas Instruments TI-89 | User Manual - Page 409

6. Use the cursor keys to animate the graph and view it from different eye angles. Note: For... Window variables. However, In expanded view, this this increases the graph evaluation time. example shows eyeq=L127.... eyeψ=L18.26. Note: When you animate the graph, the screen changes to normal view. Press p... - Texas Instruments TI-89 | User Manual - Page 410

Differential Equation Graphing Overview of Steps in Graphing Differential Equations To graph differential equations, use the same general steps used for y(x) functions as described in Basic Function Graphing. Any differences are described on the following pages. ... - Texas Instruments TI-89 | User Manual - Page 411

4. Set the display style for a function. @ 2ˆ 5. Set the graph format. Solution Method and Fields are unique to differential equations. ,9 -... Solution Method and Fields formats, different Window variables are displayed. „ Zoom also changes the viewing window. Differential Equation Graphing 411 - Texas Instruments TI-89 | User Manual - Page 412

... (8 %). Differences in Diff Equations and Function Graphing This module assumes that you already know ...section describes the differences. Setting the Graph Mode Use 3 to set Graph = DIFF EQUATIONS before... for the current Graph mode setting only. Defining Differential Equations on the Y= Editor Use t0... - Texas Instruments TI-89 | User Manual - Page 413

Note: You can use the Define command from the Home screen to define functions and equations. When entering equations in the Y= Editor, do not use y(t) formats to refer to results. For example: Do not...1st-order equations can be entered in the Y= Editor. To graph 2nd- or higher-order equations, you ... - Texas Instruments TI-89 | User Manual - Page 414

...) at which a differential equation is plotted. @ 2ˆ Setting Graph Formats From the Y= Editor, Window Editor, ...Graph format Graph Order Solution Method Description Not available. Specifies the method used ... than EULER but takes longer to find the solution. • • Differential Equation Graphing 414 - Texas Instruments TI-89 | User Manual - Page 415

... equations of any order, but you must use it for 3rd- or higher-order. You must enter...¸ while a slope or direction field is being drawn, the graph pauses after the field is drawn but ...If it is available, you can select the axes that are used to graph the differential equations. @ 2‰ Differential ... - Texas Instruments TI-89 | User Manual - Page 416

... x and y axes. Window Variables Differential equation graphs use the following Window variables. Depending on the Solution Method and Fields graph formats, not all of these variables are ... t0 to both edges of the screen in tstep increments. tmax, tstep Differential Equation Graphing 416 - Texas Instruments TI-89 | User Manual - Page 417

... the plot at the interesting area, which speeds up the graphing time and avoids unnecessary clutter on the Graph screen. Note: If tmax < t0, tstep must be negative. If Fields=SLPFLD, ... if you do not specify an initial condition. By default, ncurves = 0. Differential Equation Graphing 417 - Texas Instruments TI-89 | User Manual - Page 418

...) diftol (Solution Method = RK only) Tolerance used by the RK method to help select a step size for solving the equation; must be ,1EL14. (Fields = SLPFLD or ...) Point in time at which a direction field is drawn. © fldres Estep dtime Differential Equation Graphing 418 - Texas Instruments TI-89 | User Manual - Page 419

... variable named fldpic. If you perform an operation that regraphs the plotted equations but does not affect the field, the TI-89 Titanium reuses the picture in fldpic instead of having to redraw the field. This can speed up the regraphing time significantly. ... - Texas Instruments TI-89 | User Manual - Page 420

Tool For Differential Equation Graphs: Works just as it does for function graphs. • • Only x (xmin, xmax, xscl) and y (ymin, ymax, yscl) Window variables are affected. The ... in the Y= Editor or let the ncurves Window variable plot curves automatically, you can trace the curves. If you use: @ 2 - Texas Instruments TI-89 | User Manual - Page 421

Setting the Initial Conditions You can enter initial conditions in the Y= Editor, let the TI-89 Titanium calculate initial conditions automatically, or select them interactively from the Graph screen. Entering Initial Conditions in the Y= Editor You can ... - Texas Instruments TI-89 | User Manual - Page 422

... Fields = SLPFLD DIRFLD FLDOFF Then: Uses ncurves, if not set to 0, to graph curves. Ignores ncurves. Does not graph any curves. Uses ncurves if Axes = TIME (...Diff Eq setup error occurs. When ncurves is used, t0 is set temporarily at the middle of the Graph screen. However, the value... - Texas Instruments TI-89 | User Manual - Page 423

Selecting an Initial Condition Interactively from the Graph Screen When a differential equation is graphed (regardless of whether a solution curve is displayed), you can select a point on the Graph screen and use it as an initial condition. If Fields = SLPFLD - or - ... - Texas Instruments TI-89 | User Manual - Page 424

If Fields = FLDOFF Do this: • Press: @ 2 - Texas Instruments TI-89 | User Manual - Page 425

...and t. c) On the right side of the equation only, substitute to eliminate any references to derivative values. Note: To produce a 1st-order equation, y'' + y' + y = ex y'' = ex N y' N y y'' = et N y' N y the right side must contain non-derivative variables only. Differential Equation Graphing 425 - Texas Instruments TI-89 | User Manual - Page 426

... y3 y4 y5 y'' = et N y2 N y1 Do not substitute on the left side at this time. © © d) On the left side of the equation, substitute for the derivative value as shown below. In place of: y' y'' y''' y(4) Substitute: y1' y2' y3' y4' y2' = et N y2 N y1 © © Differential Equation Graphing 426 - Texas Instruments TI-89 | User Manual - Page 427

2. On the applicable lines in the Y= Editor, define the system of equations as: y1' = y2 y2' = y3 y3' = y4 - ... harmonic oscillator. Transform this into a system of equations for the Y= Editor. Then, graph the solution for initial conditions y(0) = 0 and y'(0) = 1. Differential Equation Graphing 427 - Texas Instruments TI-89 | User Manual - Page 428

Example 1. Press 3 and set Graph=DIFF EQUATIONS. 2. Define a system of equations for the 2ndorder equation. Rewrite the equation ...yi1 is the initial condition for y(0). conditions occur. It is also the first t evaluated for the graph. By default, t0=0. 5. Press: ,9 - or - @ 8 Í and set Axes = ON, ... - Texas Instruments TI-89 | User Manual - Page 429

... ymin=L2 ymax=2 yscl=1 ncurves=0 diftol=.001 fldres=14 dtime=0 8. Display the Graph screen (8 %). x axis = y1 = y y axis = y2 = y' If you select ZoomSqr („ ... that the phase-plane orbit is actually a circle. However, ZoomSqr will change your Window variables. Differential Equation Graphing 429 - Texas Instruments TI-89 | User Manual - Page 430

To examine this harmonic oscillator in more detail, use a split screen to graph the manner in which y and y' ...as shown. Then close the MODE dialog box, which redraws the graph. Note: To display different graphs ... both parts of a split screen, you must use the 2-graph mode. 10. Press 2 a to switch to ... - Texas Instruments TI-89 | User Manual - Page 431

... curve and its derivative. 16. To return to a full screen of the original graph, press 2 a to switch to the left side. Then press 3 and change... a system of equations to enter in the Y= Editor. Then graph the solution as a function of time. Use initial conditions y(0) = 0, y'(0) = 1, and y''(0) = 1. ... - Texas Instruments TI-89 | User Manual - Page 432

Example 1. Press 3 and set Graph=DIFF EQUATIONS. 2. Define a system of equations for the 3rdorder equation. Rewrite the equation and make the ... occur. By default, t0=0. Important: The solution to the y1' equation is the solution to the 3rdorder equation. 5. Be sure that only y1' is selected. Use - Texas Instruments TI-89 | User Manual - Page 433

...-order equations, you must set Fields=FLDOFF. Otherwise, an Undefined variable error occurs when graphing. 7. In the Y= Editor, press: @ 2 ‰ Set Axes = TIME. Note: With Axes=TIME, the ... tplot=0 xmin=L1 xmax=10 xscl=1. ymin=L3 ymax=3 yscl=1 ncurves=0 diftol=.001 Differential Equation Graphing 433 - Texas Instruments TI-89 | User Manual - Page 434

...: To find the solution at a particular time, use ...to trace the graph. Setting Axes for Time or Custom ... can give you great flexibility in graphing differential equations. Custom axes are particularly ...) on the y axis. CUSTOM - Lets you select the x and y axes. Differential Equation Graphing 434 - Texas Instruments TI-89 | User Manual - Page 435

...=DIRFLD. If you select t, an Invalid axes error occurs when graphing. Example of Time and Custom Axes Using the predator-prey model from biology, ... and foxes that maintain population equilibrium in a certain region. Graph the solution using both time and custom axes. Differential ... - Texas Instruments TI-89 | User Manual - Page 436

... (2) yi2 = Initial population of rabbits (5) 1. Use 3 to set Graph = DIFF EQUATIONS. 2. In the Y= Editor (8 #), define... the initial conditions. Note: To speed up graphing times, clear any other equations... = ON, Labels = ON, Solution Method = RK, and Fields = FLDOFF. Differential Equation Graphing 436... - Texas Instruments TI-89 | User Manual - Page 437

...=5 ymin=L10 ymax=40 yscl=5 ncurves=0 diftol=.001 6. Graph the differential equations (8 %). 7. Press ...to trace. Then press 3 ¸ ...(yc for y1) and rabbits (yc for y2) at t=3. Note: Use C and D to move the trace cursor between the curves for y1 and y2. y1(t) y2(t) Differential Equation Graphing 437 - Texas Instruments TI-89 | User Manual - Page 438

...conditions for yi1 and yi2. 11. Return to the Graph screen, which displays only the direction field. 12. To graph a family of solutions, return to the Y= Editor and enter the initial conditions ...Note: Use a list to specify more than one initial condition. Differential Equation Graphing ... - Texas Instruments TI-89 | User Manual - Page 439

13. Return to the Graph screen, which displays a curve for each pair of initial conditions. 14. Press ...to trace...¹Pù(100NP), with the initial condition P(0) = 10. Use the BldData instruction to compare the graphing points calculated by the RK and Euler solution methods. Then plot those points along... - Texas Instruments TI-89 | User Manual - Page 440

...001y1ù(100Ny1) y1' and y1. Do not use implied multiplication between the variable and parentheses... and Fields = FLDOFF. Note: To speed up graphing times, clear any other equations in... they are not selected. 6. In the Window Editor (8 $), set the Window variables. Differential Equation Graphing 440 - Texas Instruments TI-89 | User Manual - Page 441

... occurs. 7. In the Home screen @ "" use BldData to create a data variable containing the RK graphing points. 8..... Note: You do not need to graph the equation before using BldData. For more information about ... Home screen, and use BldData to create a data variable containing the Euler graphing points. ... - Texas Instruments TI-89 | User Manual - Page 442

10. Use the Data/Matrix Editor (O) to create a new data variable named errorlog. Note: errorlog lets you combine the data in rklog and eulerlog so that you can view the two sets of data side by side. 11. In this new data variable, define the c1, c2, and c3 column headers to refer to data in rklog ... - Texas Instruments TI-89 | User Manual - Page 443

.... ymax=120. yscl=10. xres=2. 17. Display the Graph screen (8 %). Note: The fuzzy line on the graph indicates differences between the RK and Euler values. 18. In the Window Editor, set...=.1 ymin=85.5 ymax=86 yscl=.1 xres=2 19. Return to the Graph screen. Differential Equation Graphing ... - Texas Instruments TI-89 | User Manual - Page 444

... 1) is 85.8952. The Euler solution (Plot 2) is 85.6527. You can also use the Data/Matrix Editor to open the errorlog data variable and scroll to time = 40. ... The deSolve( ) function lets you solve many 1st- and 2nd-order ordinary differential equations exactly. Differential Equation Graphing 444 - Texas Instruments TI-89 | User Manual - Page 445

...to the Technical Reference module. deSolve(1stOr2ndOrderODE, independentVar, dependentVar) Using the logistic 1st-order differential equation, find the ... number can introduce round-off errors. This example does not involve graphing, so you can use any Graph mode. Differential Equation Graphing 445... - Texas Instruments TI-89 | User Manual - Page 446

... 3. For an initial condition y=10 with t=0, use solve( ) to find the @1 constant. Note: If you got a different constant (@2, etc.), solve for that constant. For @, type @ 89 H 2R Differential Equation Graphing 446 - Texas Instruments TI-89 | User Manual - Page 447

...Format If you have difficulties graphing a differential equation, this section can help you correct the problem. Many problems may be related to your Fields graph format ...Graph screen, press: ,9 - or - @ 8Í What Order Equation Are You Graphing? If the equation is: 1st-order Valid Fields ... - Texas Instruments TI-89 | User Manual - Page 448

...message: • • For your order of equation, use the previous table to find the valid Fields settings. Change to the applicable setting. For a particular Fields setting, check the following for information that applies to that setting. Differential Equation Graphing 448 - Texas Instruments TI-89 | User Manual - Page 449

Fields=SLPFLD In the Y= Editor Use - Texas Instruments TI-89 | User Manual - Page 450

... conditions. Otherwise, a Dimension error occurs when you graph. With custom axes Set axes that are valid for .... Otherwise, an Invalid axes error occurs when you graph. The two axes must refer to different equations ..., but y1 vs. y1' gives an Invalid axes error. Differential Equation Graphing 450 - Texas Instruments TI-89 | User Manual - Page 451

... plotted, enter initial conditions in the Y= Editor or select one interactively from the Graph screen. If you did enter initial conditions, select..., the equations referenced by the custom axes determine which equations are graphed, regardless of which equations are selected in the Y= Editor. If your ... - Texas Instruments TI-89 | User Manual - Page 452

... not). Otherwise, a Diff Eq setup error occurs when you graph. In the Graph screen If no curve is graphed, set an ... to View Differential Equations You can use the Table screen to view the points for a differential equation graph. However, the table may show different equations than those graphed. ... - Texas Instruments TI-89 | User Manual - Page 453

Differential Equation Graphing 453 - Texas Instruments TI-89 | User Manual - Page 454

...generate a table of values for one or more functions, use the general steps shown below. For specific ...refer to the following pages. Generating a Table 1. Set Graph mode and, if necessary, Angle ... (3). Note: Tables are not available in 3D Graph mode. 2. Define functions on Y= Editor (8 #). 3. Select ... - Texas Instruments TI-89 | User Manual - Page 455

... setup parameters. By changing the starting or incremental value used for the independent variable, you can zoom ...width. Edit selected functions. Build or edit a manual table to show only specified values ...After the table is displayed, you can also use this dialog box to change the parameters. Tables... - Texas Instruments TI-89 | User Manual - Page 456

...independent variable. If Independent = AUTO and Graph < - > Table = OFF, this specifies the incremental value ... or negative, but not zero. @tbl Graph < - > Table If Independent = AUTO: OFF... on the same independent variable values that are used to graph the functions on the Graph screen. These values... - Texas Instruments TI-89 | User Manual - Page 457

Setup Parameter Description Independent AUTO - The TI-89 Titanium automatically generates a series of values for the independent variable based on tblStart, @tbl, and Graph < - > Table. ASK - Lets you build a table manually by entering specific values for the independent ... - Texas Instruments TI-89 | User Manual - Page 458

... to highlight the setting and press ¸. - or - Press the number for that setting. Graph < - > Table or Independent • Note: To cancel a menu or exit the dialog box ... the system variables tblStart and @tbl. Refer to "Storing and Recalling Variable Values" in Operating the Calculator. Tables 458 - Texas Instruments TI-89 | User Manual - Page 459

... Set Graph < - > Table and Independent by using the setTable function. Refer to the Technical Reference ... when you display the Table screen. If Graph < - > Table = ON, the table matches the trace values ... screen. If Graph < - > Table = OFF, the table is based on the values you entered for tblStart ... - Texas Instruments TI-89 | User Manual - Page 460

First column shows values of the independent variable. Header row shows names of independent variable (x) and selected functions (y1). Other columns show corresponding values of the functions selected in the Y= Editor. Entry line shows full value of highlighted cell. Note: You can scroll back ... - Texas Instruments TI-89 | User Manual - Page 461

Changing the Cell Width Cell width determines the maximum number of digits and symbols (decimal point, minus sign, and "í" for scientific notation) that can be displayed in a cell. All cells in the table have the same width. Note: By ... - Texas Instruments TI-89 | User Manual - Page 462

... is too large for the current cell width, the number is rounded and shown in scientific notation. If the cell width is too narrow even for scientific notation, "..." is shown. Notes: • • If a function is undefined at a particular value, undef is displayed in the cell... - Texas Instruments TI-89 | User Manual - Page 463

... parts with a maximum of four digits each (FLOAT 4). Editing a Selected Function From a table, you can change a selected function without having to use the Y= Editor. 1. Move the cursor to any cell in the column for that function. The table's header row shows the function names (y1, etc.). 2. Press ... - Texas Instruments TI-89 | User Manual - Page 464

.... Building a Manual (Ask) Table If Independent = ASK on the TABLE SETUP dialog box, the TI-89 Titanium lets you build a table manually by entering specific values for the independent variable. Displaying the Table Screen To display the Table screen... - Texas Instruments TI-89 | User Manual - Page 465

..., or edit the existing value. 4. Press ¸ to move the value to the table and update the corresponding function values. Note: To enter a new value in a cell, you do not need to press ...Simply begin typing. The cursor returns to the entered cell. You can use D to move to the next row. Tables 465 - Texas Instruments TI-89 | User Manual - Page 466

Enter values in any numerical order. Enter a new value here. Shows full value of highlighted cell. Note: In this example, you can move the cursor to column 2, but you can enter values in column 1 only. Entering a List in the Independent Variable Column 1. Move the cursor to highlight any cell in ... - Texas Instruments TI-89 | User Manual - Page 467

... variable tbl[nput contains a list of all independent variable values entered in the table, even those not currently displayed. tbl[nput is also used for an automatic table, but it contains only the independent variable values that are currently displayed. Before displaying a table, you can store a ... - Texas Instruments TI-89 | User Manual - Page 468

Tables 468 - Texas Instruments TI-89 | User Manual - Page 469

Additional Graphing Topics Collecting Data Points from a Graph From the Graph screen, you can store sets of ...the Data/Matrix Editor. Collecting the Points 1. Display the graph. (This example shows y1(x)=5ùcos(x).) ... Maximum). You can also use the free- moving cursor. Additional Graphing Topics 469 - Texas Instruments TI-89 | User Manual - Page 470

...you can open in the Data/Matrix Editor. Note: Use a split screen to show a graph and the Home screen or Data/Matrix Editor at the same time. Notes about SysData ..., deleted, etc., just as any other data variable. However, it cannot be locked. 470 Additional Graphing Topics - Texas Instruments TI-89 | User Manual - Page 471

...references the current contents of sysData, this command will not operate. Graphing a Function Defined on the Home Screen In many cases, you.... You can copy an expression to the Y= Editor, or graph it directly from the Home screen without using the Y= Editor. What Is the "Native" Independent Variable... - Texas Instruments TI-89 | User Manual - Page 472

... you have an expression on the Home screen, you can use any of the following methods to copy it to the Y= Editor. Method...function name. 2x^3+3x^2N4x+12!y1(x) Use the complete function name: y1(x), not just ...the Home screen's history area to the entry line, use the auto-paste feature or copy and paste.... - Texas Instruments TI-89 | User Manual - Page 473

... you graph an expression from the Home screen without using the Y= Editor. Unlike the Y= Editor, Graph lets you specify an expression in terms... the current graphing mode. If the expression is in terms of: The native independent variable Use the Graph command as shown in this example: Graph 1.25xùcos... - Texas Instruments TI-89 | User Manual - Page 474

If the expression is in terms of: A non-native independent variable Use the Graph command as shown in this example: Graph 1.25aùcos(a),a Specify the independent variable; otherwise, you may get an error. Note: Graph uses the current Window variable settings and is available... - Texas Instruments TI-89 | User Manual - Page 475

• Execute the ClrGraph command (available from the Home screen's - Texas Instruments TI-89 | User Manual - Page 476

...two-piece function, use the syntax: when(condition, trueExpression, falseExpression) For example, suppose you want to graph a function with two pieces. When: x - Texas Instruments TI-89 | User Manual - Page 477

... function is in effect when x - Texas Instruments TI-89 | User Manual - Page 478

... and decisionmaking structures (If, ElseIf, Return, etc.) used in programming. When creating the structure of a function, it may be helpful to visualize it first in a block form. Ê ...on the Y= Editor or Home screen, you must enter the entire function on a single line. Additional Graphing Topics 478 - Texas Instruments TI-89 | User Manual - Page 479

...can create a user-defined function. For example, use the Program Editor to create a function named f1(xx). In the Y= Editor, set y1(x) = f1(x). Graphing a Family of Curves By entering a list in an expression... function for each value in the list. (You cannot graph a family of curves in SEQUENCE or 3D... - Texas Instruments TI-89 | User Manual - Page 480

Examples Using the Y= Editor Enter the expression {2,4,6} sin(x) and graph the functions. Note: Enclose list elements in braces (2 [ and 2 ...commas are shown in the entry line but not in the function list. Example Using the Graph Command Similarly, you can use the Graph command from the... - Texas Instruments TI-89 | User Manual - Page 481

... according to the element number in the list. For these example functions, the TI-89 Titanium / Voyage™ 200 Graphing Calculator graphs three groups. • • • 2 sin(x), x+4, cos(x) 4 sin(x), 2x+4 6 sin(x), 3x+4 The functions within each group are graphed simultaneously, but the groups are... - Texas Instruments TI-89 | User Manual - Page 482

Using the Two-Graph Mode In two-graph mode, the calculator's graph-related features are duplicated, giving you two independent graphing calculators. The two-graph mode is only available in split...Optionally, you can set the following modes. Page 1: • Graph = Graph mode for top or left side of ... - Texas Instruments TI-89 | User Manual - Page 483

... for top or left side Split 2 App = application for bottom or right side Graph 2 = Graph mode for bottom or right side 4. Press ¸ to close the dialog ... Screen A two-graph screen is similar to a regular split screen. Graph 1: left or top side Thick border indicates active graph ... - Texas Instruments TI-89 | User Manual - Page 484

... when the two sides use different graphing modes (as described below). Independent graph-related applications (Y= Editor, Graph screen, etc.) can be displayed on both sides of the screen at the same time. Non-graph-related applications (Home screen, Data/Matrix Editor, etc... - Texas Instruments TI-89 | User Manual - Page 485

• When both sides use the same graphing mode, each side shows the same function list. You can use - Texas Instruments TI-89 | User Manual - Page 486

...Note: You can display non-graph-related applications (such as the Home screen) on only ... 1, the Y= Editor lists y(x) functions. For Graph 2, the polar graph uses r(q) equations that are not shown. After.... For example: 10!xmax affects either Graph 1 or Graph 2, depending on which is active when you... - Texas Instruments TI-89 | User Manual - Page 487

... the active sides, press 2 a or use the switch function, switch(1) or switch(2). Drawing a Function or Inverse on a Graph For comparison purposes, you ... a program. You cannot draw a function or equation interactively from the Graph screen. DrawFunc expression DrawParm expression1, expression2 [,tmin... - Texas Instruments TI-89 | User Manual - Page 488

2. On the Graph screen, press: 2 ˆ and select 2:DrawFunc. To display the Home screen and put DrawFunc in the entry line, press:2 ˆ 2 3. On the Home screen, specify the function to draw. 4. Press ¸ to draw the function on the Graph screen. You cannot trace, zoom, or perform a math operation on a ... - Texas Instruments TI-89 | User Manual - Page 489

... y1(x) Drawing a Line, Circle, or Text Label on a Graph You can draw one or more objects ..., draw a horizontal line to show that two parts of a graph have the same y value. (Some objects are ...the graph itself. It is drawn "on top of" the graph and remains on the screen until you clear it. Additional ... - Texas Instruments TI-89 | User Manual - Page 490

From the Graph screen: • 2ˆ and select 1:ClrDraw. - or - • Press - Texas Instruments TI-89 | User Manual - Page 491

Drawing a Point or a Freehand Line From the Graph screen: 1. 2 ‰ and select 1:Pencil. 2. Move the cursor to the applicable location. To draw a: Point (pixel-sized) Freehand line Do this: Press ¸. Press and hold ¤, and move the cursor to draw the line. Note: When drawing a ... - Texas Instruments TI-89 | User Manual - Page 492

Erasing Individual Parts of a Drawing Object From the Graph screen: 1. 2 ‰ and select 2:Eraser. The cursor ...Note: These techniques also erase parts of graphed functions. After erasing, you are still... N. Drawing a Line Between Two Points From the Graph screen: 1. 2 ‰ and select 3:Line. Additional... - Texas Instruments TI-89 | User Manual - Page 493

...the cursor to a new 1st point. To quit, press N. Drawing a Circle From the Graph screen: 1. 2 ‰ and select 4:Circle. 2. Move the cursor to the center ...3. Move the cursor to set the radius, and press ¸. Note: Use 2 to move the cursor in larger increments; 2 B, etc. Additional Graphing Topics 493 - Texas Instruments TI-89 | User Manual - Page 494

Drawing a Horizontal or Vertical Line From the Graph screen: 1. 2 ‰ and select 5:Horizontal or 6:Vertical. A horizontal or vertical line and a ... etc. Drawing a Tangent Line To draw a tangent line, use the ‡ Math toolbar menu. From the Graph screen: 1. Press ‡ and select A:Tangent. Additional ... - Texas Instruments TI-89 | User Manual - Page 495

... the Home screen or a program. Use the syntax: DrawSlp x, y, slope You can also access DrawSlp from the Graph screen. 1. 2 ˆ and select 6:DrawSlp. This switches to the .... 2. Complete the command, and press ¸. The calculator automatically switches to the Graph screen and draws the line.... - Texas Instruments TI-89 | User Manual - Page 496

Typing Text Labels From the Graph screen: 1. 2 ‰ and select 7:Text. 2. Move the text cursor to the location where ...by specifying exact pixel locations on the screen. For a list of the available drawing commands, refer to "Drawing on the Graph Screen" in Programming. Additional Graphing Topics 496 - Texas Instruments TI-89 | User Manual - Page 497

... Graph You can save an image of the current Graph screen in a PICTURE (or PIC) variable. Then, ...image. This saves the image only, not the graph settings used to produce it. Saving a Picture of the Whole ... indicators, prompts, or cursor coordinates. Display the Graph screen as you want to save it; and ... - Texas Instruments TI-89 | User Manual - Page 498

... define a rectangular box that encloses only the portion of the Graph screen that you want to save. 1. @ 2‰...: You cannot save a portion of a 3D graph. 2. Set the 1st corner of the box by moving ... ¸ twice. Note: When saving a portion of a graph, Type is automatically fixed as Picture. Additional ... - Texas Instruments TI-89 | User Manual - Page 499

...a graph picture, it is superimposed over the current Graph screen. To display only the picture, use the Y= Editor to deselect any other functions before opening the graph picture. From the... can specify which screen pixel to use as the upper-left corner. Additional Graphing Topics 499 - Texas Instruments TI-89 | User Manual - Page 500

Deleting a Graph Picture Unwanted Picture variables take up calculator memory. To delete a ... To save (store) and open (recall) a graph picture, use the StoPic, RclPic, AndPic, XorPic, and ...described earlier in this module, you can save a picture of a graph. By using the CyclePic command, you can flip ... - Texas Instruments TI-89 | User Manual - Page 501

..., such as "pic" # of pictures to cycle seconds between # of times to repeat cycle Example This example program (named cyc) generates 10 views of a 3D graph, with each view rotated 10¿¡ further around the Z axis. For information about each command, refer to the Additional Graphing Topics 501 - Texas Instruments TI-89 | User Manual - Page 502

Technical Reference module. For information about using the Program Editor, refer to Programming. Program Listing Every Other Graph from Program :cyc() :Prgm :local I :¦Set mode and Window variables :setMode("graph","3d") :70!eyef :M10!xmin :10!xmax :14!xgrid :... - Texas Instruments TI-89 | User Manual - Page 503

... a graph database as a GDB variable, you can recreate that graph at a later time by opening its stored database variable. Elements in ... of Mode settings (3) for Graph, Angle, Complex Format, and Split Screen (only if you are using the two-graph mode). All functions in the Y= Editor (8 #), including ... - Texas Instruments TI-89 | User Manual - Page 504

... graphs are saved in a single database. Saving the Current Graph Database From the Y= Editor, Window Editor, Table screen,... twice. Note: If you start from the Graph screen, be sure to use Type=GDB. Opening a...replaced. You may want to store the current graph database before opening a stored database.... - Texas Instruments TI-89 | User Manual - Page 505

.... 3. Press ¸. Note: If you start from the Graph screen, be sure to use Type=GDB. Deleting a Graph Database Unused GDB variables take up calculator memory. To delete them... You can save (store) and open (recall) a graph database by using the StoGDB and RclGDB commands as described in... - Texas Instruments TI-89 | User Manual - Page 506

...Split Screen Mode To set up a split screen, use the MODE dialog box to specify the applicable mode settings. After you set ... either of the following settings. For the procedure used to change a mode setting, refer to Operating the Calculator. Split Screen Settings TOP-BOTTOM LEFT-RIGHT Split Screens... - Texas Instruments TI-89 | User Manual - Page 507

... the application full screen. You can open different applications after the split screen is displayed. Note: In two-graph mode, described in Additional Graphing Topics, the same application can be in both parts of a split screen. Split Screens 507 - Texas Instruments TI-89 | User Manual - Page 508

...Due to the border that indicates the active application, split screens have a smaller displayable area than a full screen. TI-89 Titanium: Split 1 App Split FULL Ratio x y Split 2 App x y N/A 0 - 158 0 - 76 N/A N/A 508 Split Screens - Texas Instruments TI-89 | User Manual - Page 509

... 68 0 - 26 0 - 98 0 - 98 0 - 98 LEFT-RIGHT 1:1 1:2 2:1 Exiting the Split Screen Mode Method 1: Press 3 to display the MODE dialog box. Then set Split Screen = FULL. When you press ¸ to close the dialog box, the full-sized screen shows the application specified in Split 1 App. Split Screens 509 - Texas Instruments TI-89 | User Manual - Page 510

... Calculator Turning the calculator off does not exit the split screen mode. If the calculator is turned off: When you press 2 : When you turn the calculator on again: The split screen is still in effect, but the Home screen is always displayed in place of the application ... - Texas Instruments TI-89 | User Manual - Page 511

... • • Description Top-bottom split screen 1 indicates the application that will appear in the top portion of the screen. 2 indicates the application ...the split screen. Left-right split screen • • 1 indicates the application that will appear in the left portion of the screen. 2 indicates the ... - Texas Instruments TI-89 | User Manual - Page 512

... Editor), the entry line is the full width of the display only when that application is active. Toolbar is for Y= Editor. Thick border indicates the Y= ... line is full width when Y= Editor is active. Switching between Applications Press 2 a (second function of O) to switch from one application to the... - Texas Instruments TI-89 | User Manual - Page 513

... Graph screen is active. Graph screen does not have an entry line. Opening a Different Application Method 1: ... split screen mode and displays the application full screen. Note: In two-graph mode, described in Additional Graphing Topics, the same application can be in both parts of a split screen. ... - Texas Instruments TI-89 | User Manual - Page 514

... that the entry line and the toolbar are always associated with the active application. For example: Entry line is for the active Y= Editor, not the Graph screen. Toolbar is for the active Graph screen, not the Y= Editor. Split Screens 514 - Texas Instruments TI-89 | User Manual - Page 515

Note: Both Top-Bottom and Left-Right splits use the same methods to select an application. Split Screens 515 - Texas Instruments TI-89 | User Manual - Page 516

Data/Matrix Editor Overview of List, Data, and Matrix Variables To use the Data/Matrix Editor effectively, you must understand list, data, and matrix variables. List Variable A list is a series of items (numbers, expressions, or character strings) that may or may not be related. Each item is called ... - Texas Instruments TI-89 | User Manual - Page 517

... in the history area. To refer to a specified element in a list, use the format shown to the right. Ê Name of list variable Ë Element ... list in the Data/Matrix Editor, you can use the list in any application (such as the Home screen). list1[1] Ê Ë Data Variable A data variable is essentially a ... - Texas Instruments TI-89 | User Manual - Page 518

Note: For stat calculations, columns must have the same length. From the Home screen or a program, you can use the NewData command to create a data variable that consists of existing lists. Ê Name of data variable to create Ë Names of ... - Texas Instruments TI-89 | User Manual - Page 519

... each cell. You can then enter the applicable value in place of 0. Shows the size of the matrix. From the Home screen or a program, you can use 9 to store a matrix with either of the equivalent methods ... Data/Matrix Editor, you can use the matrix in any application (such as the Home screen). ... - Texas Instruments TI-89 | User Manual - Page 520

...last time you used the Data/Matrix Editor), or open an existing variable. Creating a New .... Press ¸. 2. Select 3:New. 3. Specify the applicable information for the new variable. Item Type ... of existing folders. For information about folders, refer to the Calculator Home Screen module. Folder Data... - Texas Instruments TI-89 | User Manual - Page 521

...you do not type a variable name, your calculator displays the Home screen. 4. Press ¸ (... display an empty variable in the Data/Matrix Editor. Using the Current Variable You can leave the Data/Matrix Editor and go to another application at any time. To return to the variable that was displayed when ... - Texas Instruments TI-89 | User Manual - Page 522

... of rows and columns. Opening Another Variable You can open another variable at any time. 1. From the Data/Matrix Editor, press ƒ and select 1:Open. - or - From any application, launch Data/Matrix Editor again and select 2:Open. 2. Select the type, folder, and variable to open. 3. Press ¸. Note: ... - Texas Instruments TI-89 | User Manual - Page 523

... quite a few variables, which take up memory. To delete a variable, use the VAR-LINK screen (2 °). For information about VAR-LINK, refer to Memory and ... Í Row and column number of highlighted cell Î Column title cells, used to type a title for each column Ê Ë Ì Í Î Data/Matrix Editor 523 - Texas Instruments TI-89 | User Manual - Page 524

... entered, the entry line shows the full value of the highlighted cell. Note: Use the title cell at the very top of each column to identify the information in...you can start typing without pressing ¸ or ...first. However, you must use ¸ or ...to edit an existing value. After pressing ¸, the cursor ... - Texas Instruments TI-89 | User Manual - Page 525

...: D, C, B, or A 2 and then D, C, B, or A 8 C or 8D 8 A or 8B Note: To enter a value from the entry line, you can also use D or C. When you scroll down/up, the header row remains at the top of the screen so that the column numbers are always visible. When you scroll right/left, the row numbers ... - Texas Instruments TI-89 | User Manual - Page 526

• In a list variable, a cell in the gap is undefined until you enter a value for the cell. & Note: If you enter more than one column of elements in a list variable, it is converted automatically into a data variable. • In a data variable, gaps in a column are handled the same as a list. ... - Texas Instruments TI-89 | User Manual - Page 527

Changing the Cell Width The cell width affects how many characters are displayed in any cell. To change the cell width in the Data/Matrix Editor: 1. To display the FORMATS dialog box, press: ƒ9 - or - 8Í Cell width is the maximum number of characters that can be displayed in a cell. All cells ... - Texas Instruments TI-89 | User Manual - Page 528

Clearing a Column or all Columns This procedure erases the contents of a column. It does not delete the column. To clear: A column Do this: 1. Move the cursor to any cell in the column. 2. Press: 2 ˆ and select 5:Clear Column. (This item is not available for a matrix.) Press ƒ and select 8:Clear... - Texas Instruments TI-89 | User Manual - Page 529

1. Move the cursor to any cell in the column and press - Texas Instruments TI-89 | User Manual - Page 530

...To cancel any changes, press N before pressing ¸. You can use an expression that: For example: Generates a series of numbers. Refers to another column....to an empty column, you will get an error message unless Auto-calculate = OFF. 3. Press ¸, D, or C to save the definition and update the columns. ... - Texas Instruments TI-89 | User Manual - Page 531

Clearing a Header Definition 1. Move the cursor to any cell in the column and press - Texas Instruments TI-89 | User Manual - Page 532

..., refer to the Technical Reference module. The Auto-calculate Feature For list and data variables,...Matrix Editor has an Auto-calculate feature. By default, Auto-calculate = ON. Therefore, if you ... 1 is automatically reflected in column 2. To turn Auto-calculate off and on from the Data/Matrix Editor:... - Texas Instruments TI-89 | User Manual - Page 533

If Auto-calculate = OFF and you make changes as described above, the header definitions are not recalculated until you set Auto-calculate = ON. Note: You may want to set Auto-calculate = OFF to make changes without recalculating each time, enter a definition such as c1=c2+c3... - Texas Instruments TI-89 | User Manual - Page 534

... up and out the top; undefined elements shift into the bottom. bottom; undefined elements shift into the top. Note: To enter shift, type it from the keyboard or select it from the CATALOG. Using the CumSum Function The cumSum function returns a cumulative sum of the elements in a base column. Use - Texas Instruments TI-89 | User Manual - Page 535

Sorting Columns After entering information in a data, list, or matrix variable, you can easily sort a specified column in numeric or alphabetical order. You can also sort all columns as a whole, based on a "key" column. Sorting a Single Column In the Data/Matrix Editor: 1. Move the cursor to any ... - Texas Instruments TI-89 | User Manual - Page 536

... a single column. 3. Press: 2 ˆand select 4:Sort Col, adjust all. Note: This menu item is not available if any column is locked. When using this procedure for a data variable: • • All columns must have the same length. None of the columns can be locked (defined by a function in the column ... - Texas Instruments TI-89 | User Manual - Page 537

Saving a Copy of a List, Data, or Matrix Variable You can save a copy of a list, data, or matrix variable. You can also copy a list to a data variable, or you can select a column from a data variable and copy that column to a list. Valid Copy Types You can copy a: List Data Data column Matrix To a:... - Texas Instruments TI-89 | User Manual - Page 538

... the name of an existing variable, its contents will be replaced. Ê Column is dimmed unless you copy a data column to a list. The column information is not used for other types of copies. 4. Press ¸ (after typing in an input box such as Variable, you must press ¸ twice). To Copy a Data Column ... - Texas Instruments TI-89 | User Manual - Page 539

Data/Matrix Editor 539 - Texas Instruments TI-89 | User Manual - Page 540

... Plots Overview of Steps in Statistical Analysis This section gives an overview of the steps used to perform a statistical calculation or graph a statistical plot. For detailed descriptions, refer to the following pages. 1. Set Graph mode (3) to FUNCTION. ... - Texas Instruments TI-89 | User Manual - Page 541

6. Change the graph format if necessary. 7. , 9 - or - @ 8Í Graph the selected equations (8 %). Performing a Statistical Calculation From the Data/Matrix Editor, use the ‡ Calc toolbar menu to perform statistical calculations. You can analyze one-variable ... - Texas Instruments TI-89 | User Manual - Page 542

From the Data/Matrix Editor: 1. Press ‡ to display the Calculate dialog box. This example shows all items as active. On your calculator, items are active only if they are valid for the current settings of Calculation Type and Freq and Categories. Note: If an item is not valid for... - Texas Instruments TI-89 | User Manual - Page 543

2. Specify applicable settings for the active items. Item Calculation Type x Description Select the type of...specify a Category column, you can use this item to limit the calculation to specified category values. For example, if you specify {1,4}, the calculation uses only data points with a category ... - Texas Instruments TI-89 | User Manual - Page 544

...list name instead of a column number. An example using Freq, Category, and Include Categories ...data points (shown as undef) are ignored in a stat calculation. 4. To close the STAT VARS screen, press ...'s Stat toolbar menu redisplays the previous calculation results (until they are cleared from memory... - Texas Instruments TI-89 | User Manual - Page 545

... or reopen the same data variable (if the calculation referred to a column in a data variable). Results ... variable. Change the current folder (if the calculation referred to a list variable in the previous folder... box lets you specify the statistical calculation you want to perform. This section gives... - Texas Instruments TI-89 | User Manual - Page 546

... dialog box (‡), highlight the current setting for the Calculation Type and press B. You can ... an item is dimmed, it is not valid for the current Calculation Type. Calc Type OneVar TwoVar CubicReg Description One-variable statistics - Calculates the statistical variables. Two-variable statistics ... - Texas Instruments TI-89 | User Manual - Page 547

...data to the model y=ax+b (where a is the slope, and b is the y-intercept) using the medianmedian line, which is part of the resistant..., medx2, medy2, medx3, and medy3 are calculated and stored to variables, but they... - Fits the data to the model equation y=axb using a least-squares fit and transformed... - Texas Instruments TI-89 | User Manual - Page 548

..., Freq or Category) must have the same length. From the Home Screen or a Program Use the applicable command for the calculation that you want to perform. The commands have the same name as the corresponding Calculation Type. Refer to the Technical Reference ... - Texas Instruments TI-89 | User Manual - Page 549

Management. All statistical variables are cleared when you edit the data or change the calculation type. Other conditions that clear the variables are listed. Calculated Variables Statistical variables are stored as system variables. However, regCoef and regeq are treated as... - Texas Instruments TI-89 | User Manual - Page 550

One Var maximum of x values minimum of y values maximum of y values 1st quartile median 3rd quartile regression equation regression coefficients (a, b, c, d, e) correlation coefficient - Texas Instruments TI-89 | User Manual - Page 551

...a Statistical Plot From the Data/Matrix Editor, you can use the entered data to define several types of statistical ... This example shows all items as active. On your calculator, items are active only if they are valid for the current setting of Plot Type and use Freq and Categories?. Note: If an item... - Texas Instruments TI-89 | User Manual - Page 552

4. Specify applicable settings for the active items. Item Plot Type Mark x y Description Select ... Data/Matrix Editor (C1, C2, etc.) used for x values, the independent variable. Type the column ...you specify a Category, you can use this to limit the calculation to specified category values. For example,... - Texas Instruments TI-89 | User Manual - Page 553

... Plots defined with column numbers always use the last data variable in the Data/Matrix ... list name instead of the column number. An example using Freq, Category, and Include Categories ... plot you just defined is automatically selected for graphing. Notice the shorthand definition for the plot. Plot ... - Texas Instruments TI-89 | User Manual - Page 554

• • Execute a Graph command. Open a different variable in the Data/Matrix Editor. Copying a Plot Definition From Plot Setup: 1. ... clear it first; you can make changes to the existing definition. To prevent a plot from graphing, you can deselect it. Statistical Plot Types When you define a plot... - Texas Instruments TI-89 | User Manual - Page 555

...the Mark. If necessary, you can specify the same column or list for both x and y. Xyline This is a scatter plot in which data points are plotted and connected in the order in which they appear in x and y. You may want to sort all the columns in the Data/Matrix Editor before plotting. @ 2 ˆ 3 or 2 ... - Texas Instruments TI-89 | User Manual - Page 556

...they are plotted one above the other in the same order as their plot numbers. Use NewPlot to show statistical data as a modified box plot. Select Mod Box ... points, called outliers, are plotted individually beyond the box plot's whiskers, using the mark that you select. Statistics and Data Plots 556 - Texas Instruments TI-89 | User Manual - Page 557

... Hist. Bucket Width • xmin + Hist. Bucket Width xmin • ZoomData („ 9 from the Graph screen, Y= Editor, or Window Editor) adjusts xmin and xmax to include all data points, but it does not adjust the y axis. - Use 8 $ to set ymin = 0 and ymax = the number of data points expected in... - Texas Instruments TI-89 | User Manual - Page 558

... (...) a histogram, the screen shows information about the traced bar. Trace cursor Range of the traced bar # of data points in the traced bar Using the Y= Editor with Stat Plots The previous sections described how to define and select stat plots from the Data/Matrix Editor. You can also define ... - Texas Instruments TI-89 | User Manual - Page 559

... PLOTS 23 means that Plots 2 & 3 are selected. To see the list of stat plots, use C to scroll above the y(x) functions. If a Plot is highlighted, this shows the data variable that will be used for the plots. If a Plot is defined, it shows the same shorthand notation as the ... - Texas Instruments TI-89 | User Manual - Page 560

Note: Plots defined with column numbers always use the last data variable in the Data/Matrix Editor, even if that variable was not used to create the definition. To: Edit a plot definition Do this: Highlight the plot and press ...You will... - Texas Instruments TI-89 | User Manual - Page 561

...Viewing Window Stat plots are displayed on the current graph, and they use the Window variables that are defined in the Window Editor. Use 8 $ to display the Window Editor. You can either:...„ Zoom is available on the Y= Editor, Window Editor, and Graph screen. Statistics and Data Plots 561 - Texas Instruments TI-89 | User Manual - Page 562

Changing the Graph Format Press: ,9 - or - @ 8Í from the Y= Editor, Window Editor, or Graph screen. Then change the settings as necessary. Tracing a Stat Plot ...bar, starting from the leftmost bar. Note: When a stat plot is displayed, the Graph screen does not automatically pan if you trace off the... - Texas Instruments TI-89 | User Manual - Page 563

...beginning point on that plot (not to the nearest pixel). Using Frequencies and Categories To manipulate the way .... A frequency value must be an integer , 0 if Calculation Type = OneVar or MedMed or if Plot Type = Box Plot. For other statistical calculations or plots, the frequency value can be any... - Texas Instruments TI-89 | User Manual - Page 564

... two columns. Test scores c1 85 97 92 89 91 95 Frequency values c2 1 1 2 ...listed to the right. c1 85 97 92 Ê 92 Ê 89 91 95 Ë 95 Ë 95 Ë Ê Frequency of 2 Ë... the data point from analysis. To use frequency values, specify the frequency column when you perform a statistical calculation or define a... - Texas Instruments TI-89 | User Manual - Page 565

...the frequency values. Note: You can also use frequency values from a list variable instead of ...a Category Column In a data variable, you can use any column to specify a category (or subset) value..., determine the category values you want to use. Category Value 1 2 3 4 Used to indicate: 10th grade girl... - Texas Instruments TI-89 | User Manual - Page 566

...97 92 88 90 95 79 68 92 84 82 Category values c2 1 3 2 3 2 1 4 2 4 3 1 To use category values, specify the category column and the category values to include in the analysis when you perform a statistical calculation or define a stat plot. Statistics and Data Plots 566 - Texas Instruments TI-89 | User Manual - Page 567

... (or list name) that contains the category values. Within braces { }, type the category values to use, separated by commas. (Do not type a column number or list name.) Note: You can also use category values from a list variable instead of a column. To analyze: 10th grade ... - Texas Instruments TI-89 | User Manual - Page 568

... must then retrieve the data (transfer it to the TI-89 Titanium) by using the Get command, which is ... calculations. When you transfer the collected information to the TI-89 Titanium, you can specify the list ... store the CBL 2 information on the TI-89 Titanium, there are two ways to use the CBL 2 list ... - Texas Instruments TI-89 | User Manual - Page 569

Note: For specifics about using the CBL 2 and retrieving data to the TI-89 Titanium, refer to the guidebook that comes with the CBL 2 unit. Referring to the CBL 2™ Lists When you perform a statistical calculation or define a plot, you can refer explicitly to the CBL... - Texas Instruments TI-89 | User Manual - Page 570

... the Home screen or a program, use the NewData command. NewData dataVar, list1 [,list2 ] [,list3 ]... Editor, create a new, empty data variable with the applicable name. For each CBL 2 list that you want... example, define column 1 as time, column 2 as temp. Note: To define or clear a column header, use - Texas Instruments TI-89 | User Manual - Page 571

CBR™ You can also use the Calculator-Based Ranger™ (CBR) to explore the mathematical and scientific relationships between distance, velocity, acceleration, and time using data collected from activities you perform. Statistics and Data Plots 571 - Texas Instruments TI-89 | User Manual - Page 572

... program's output, if any, is displayed on the Program I/O screen, in a dialog box, or on the Graph screen. Running a Program On the Home screen: 1. Type the ... name. Some programs require you to pass an argument to the program. Note: Use 2 ° to list existing PRGM variables. prog1() If arguments are ... - Texas Instruments TI-89 | User Manual - Page 573

... specify initial values for a program. When you run a program, the TI-89 Titanium automatically checks for errors. For example, the following message is displayed if you: • Do ... any problems and run the program again. Note: The TI-89 Titanium also checks for run-time errors that are... - Texas Instruments TI-89 | User Manual - Page 574

... to enter information.) Graph-related commands typically use the Graph screen. After the program stops, the TI-89 Titanium shows the last screen that was displayed. The Program I/O Screen On the Program I/O screen, new output is displayed below any previous ... - Texas Instruments TI-89 | User Manual - Page 575

...). The Program I/O screen is used only to display output or to prompt the user for input. You cannot perform calculations on this screen. Note: If Home screen calculations don't work after you run a program, you may be on the Program I/O screen. Leaving the Program I/O ... - Texas Instruments TI-89 | User Manual - Page 576

... Press O and then select Program Editor. 2. Select 3:New. 3. Specify the applicable information for the new program or function. Item Type Folder Lets you:... which the new program or function will be stored. For information about folders, refer to the Calculator Home Screen module. Programming 576 - Texas Instruments TI-89 | User Manual - Page 577

... have a similar template. You can now use the Program Editor as described in the remaining sections of ... type. You do not need to save it manually before leaving the Program Editor, starting a ... leave the Program Editor and go to another application at any time. To return to the program or function ... - Texas Instruments TI-89 | User Manual - Page 578

... time. 1. From within the Program Editor, press ƒ and select 1:Open. - or - From another application, launch Program Editor again and select 2:Open. 2. Select the applicable type, folder, and variable. 3. Press ¸. Note: By default, Variable shows the ... - Texas Instruments TI-89 | User Manual - Page 579

... automatically, you can accumulate quite a few previous programs and functions, which take up memory storage space. To delete programs and functions, use the VAR-LINK screen (2 °). For information about VAR-LINK, refer to the Memory and Variable Management module. Overview of Entering a Program A ... - Texas Instruments TI-89 | User Manual - Page 580

...All program lines begin with a colon. Note: Use the cursor pad to scroll through the program for entering or editing commands. Use 8 C or 8 D to go to the top or bottom of a program, respectively. You enter... program commands in the Program Editor by using the same techniques used to enter and edit... - Texas Instruments TI-89 | User Manual - Page 581

... Ë :expr(n)!n:¦Convert to numeric expression :-----Ê Description of the program . Ë Description of expr. Note: Use comments to enter information that is useful to someone reading the program code. To enter the comment symbol, press: • • 8d - or - Press „ and select ... - Texas Instruments TI-89 | User Manual - Page 582

... • Control structures such as If...EndIf commands use a conditional test to decide which part of a...Displaying Calculated Results In a program, calculated results are not displayed unless you use an output command. This is an important difference between performing a calculation on the Home screen ... - Texas Instruments TI-89 | User Manual - Page 583

Displaying a calculation result does not store that result. If you need to refer to a result later, store it to a variable. :cos(p/4)!maximum :Disp maximum Note: A list of output commands is available. Getting Values into a Program To input values into a program, you can: • Require the users to... - Texas Instruments TI-89 | User Manual - Page 584

...Values to a Program The following program draws a circle on the Graph screen and then draws a horizontal ... also contains commands that set up the Graph screen. :circ(x,y,r) Ê :Prgm :FnOff :ZoomStd ...edit this line. Note: In this example, you cannot use circle as the program name because it conflicts ... - Texas Instruments TI-89 | User Manual - Page 585

...in the Program Editor is very similar to the functions and instructions that you typically use from the Home screen. Why Create a User-Defined Function? Functions (as well as programs) are ideal for repetitive calculations or tasks. You only need to write the function once... - Texas Instruments TI-89 | User Manual - Page 586

You can create functions that expand on the TI-89 Titanium's built-in functions. You can then use the new functions the same as any other function. Functions return values that can be graphed or entered in a table; programs cannot. You can use a function (but not a ... - Texas Instruments TI-89 | User Manual - Page 587

• Can use all built-in TI-89 Titanium / Voyage™ 200 functions except: setFold setTable setGraph switch setMode •.... Entering a Function When you create a new function in the Program Editor, the TI-89 Titanium displays a blank "template." Note: Use the cursor pad to scroll through the function... - Texas Instruments TI-89 | User Manual - Page 588

...-defined function can store to local variables only, and it cannot use instructions that prompt the user for input.) How to Return a Value from a... from a function: • As the last line in the function (before EndFunc), calculate the value to be returned. :cube(x) :Func :x^3 :EndFunc Programming 588 - Texas Instruments TI-89 | User Manual - Page 589

.... :cube(x) :Func :If x - Texas Instruments TI-89 | User Manual - Page 590

... Program from Another One program can call another program as a subroutine. The subroutine can be external (a separate program) or internal (included in the main program). Subroutines are useful when a program needs to repeat the same group of commands at several different places. Programming 590 - Texas Instruments TI-89 | User Manual - Page 591

Calling a Separate Program To call a separate program, use the same syntax used to run the program from the Home screen. :subtest1() :Prgm :... : Disp x,y :EndPrgm Calling an Internal Subroutine To define an internal subroutine, use the Define command with Prgm...EndPrgm. Because a subroutine must be ... - Texas Instruments TI-89 | User Manual - Page 592

.... :subtest1() :Prgm :local subtest2 :Define subtest2(x,y)=Prgm : Disp x,y :EndPrgm :¦Beginning of main program :For i,1,4,1 : subtest2(i,I*1000) :EndFor :EndPrgm Ê Declares the subroutine as a local variable. Ë Defines the subroutine. Ì Calls the subroutine. Note: Use the Program Editor's - Texas Instruments TI-89 | User Manual - Page 593

...created Variables automatically to store data about the state of the calculator. For example, Window variables (xmin, xmax,...You can always refer to these variables by using the variable name only, regardless of the current ... create system variables, but it can use the values and (in most cases) store ... - Texas Instruments TI-89 | User Manual - Page 594

... exist only while a program is running. When the program stops, local variables are deleted automatically. • • • To create a local variable in a program, use the Local command to declare the variable. A local variable is treated as unique even if there is an existing folder variable with the ... - Texas Instruments TI-89 | User Manual - Page 595

Note: If a program has local variables, a graphed function cannot access them. For example: Local a 5!a Graph aùcos(x) may display an error or an unexpected result (if a is an existing variable in the current folder). Circular Definition Errors ... - Texas Instruments TI-89 | User Manual - Page 596

..., pressing § enters a ! symbol. Moves specified variables from RAM to user data archive memory. Lets you create a data variable based on the graph information entered in the Y= Editor, Window Editor, etc. Copies the contents of a variable. Defines a program (subroutine) or function variable within ... - Texas Instruments TI-89 | User Manual - Page 597

Command Lock MoveVar NewData NewFold NewPic Rename Unarchiv Unlock Description Locks a variable so that it cannot be accidentally changed or deleted without first being unlocked. Moves a variable from one folder to another. Creates a data variable whose columns consist of a series of specified ... - Texas Instruments TI-89 | User Manual - Page 598

... i is the loop counter. In most cases, the variable i is used only while the program is running. Ê :Local ... i Ê Declares variable i as local. Note: As often as possible, use local variables for any variable ... when the program stops so that it does not use up memory. What Causes an Undefined Variable... - Texas Instruments TI-89 | User Manual - Page 599

For example: Define fact(n)=Func: Ê Local m: While n>1: n - Texas Instruments TI-89 | User Manual - Page 600

To Perform Symbolic Calculations If you want a function or program to perform symbolic calculations, you must use a global variable instead of a local.... not already exist outside of the program. The following methods can help. • • Refer to a global variable name, typically with two or... - Texas Instruments TI-89 | User Manual - Page 601

... "61" represents the characters "6" and "1", not the number 61. Although you cannot use a string such as "61" or "2x+4" in a calculation, you can convert a string into a numeric expression by using the expr command. Programming 601 - Texas Instruments TI-89 | User Manual - Page 602

... on that value, you must convert it to a numeric expression. Returns an expression as a character string based on the format template (fixed, scientific, engineering, etc.) Searches a string to see if it contains a specified substring. If so, inString returns the character position where the first ... - Texas Instruments TI-89 | User Manual - Page 603

... let programs make decisions. For example, depending on whether a test is true or false, a program can decide which of two actions to perform. Conditional tests are used with control structures such as If...EndIf and loops such as While...EndWhile (described later in this module). Programming 603 - Texas Instruments TI-89 | User Manual - Page 604

Entering a Test Operator • Type the operator directly from the keyboard. - or - Press 2 I and select 8:Test. Then select the operator from the menu. - or - • Display the built-in functions. Press: ½The test operators are listed near the bottom of the „ Built-in menu. • Relational Tests ... - Texas Instruments TI-89 | User Manual - Page 605

... xor c2 is true if is false if x{2 x>2 Note: If you use not from the Home screen, it is shown as ~ in the history area. For example, not x>2 is shown as ~(x>2). Programming 605 - Texas Instruments TI-89 | User Manual - Page 606

... to Control Program Flow An If...EndIf structure uses a conditional test to decide whether or not to ... (label) and Goto commands can also be used to branch (or jump) from one place to another in a...Control Toolbar Menu To enter If...EndIf structures, use the Program Editor's „ Control toolbar menu. ... - Texas Instruments TI-89 | User Manual - Page 607

... one command if a conditional test is true, use the general form: :If x>5 Ê : Disp "x is greater ... value to x before executing the If command. Note: Use indentation to make your programs easier ... group of commands if a conditional test is true, use the structure: :If x>5 Then Ê : Disp "x is greater ... - Texas Instruments TI-89 | User Manual - Page 608

... marks the end of the Then block that is executed if the condition is true. If...Then...Else...EndIf Structures To execute one group of commands if a conditional test is true and a different group if the condition is false, use this structure: :If x>5 Then Ê : Disp "x is greater than 5" Ê : 2 - Texas Instruments TI-89 | User Manual - Page 609

... You can also control the flow of your program by using Lbl (label) and Goto commands. Use the... the program. Lbl labelName name to assign to this location (use the same naming convention as a variable name) You can then use the Goto command at any point in the program to branch to the location that ... - Texas Instruments TI-89 | User Manual - Page 610

... (it always branches to the specified label), it is often used with an If command so that you can ...Stop) that prevent Lbl GT5 from being executed if x{5. Using Loops to Repeat a Group of Commands To repeat ... To enter most of the loop-related commands, use the Program Editor's „ Control toolbar menu... - Texas Instruments TI-89 | User Manual - Page 611

... marks the end of the loop. For...EndFor Loops A For...EndFor loop uses a counter to control the number of times the loop is repeated. ..., but the increment must be negative. For(variable, begin, end [, increment]) Ê Ë Ì Í Ê Ë Ì Í variable used as a counter counter value used the first... - Texas Instruments TI-89 | User Manual - Page 612

When For is executed, the variable value is compared to the end value. If variable does not exceed end, the loop is executed; otherwise, program control jumps to the command following EndFor. i>5 i{5 :For i,0,5,1 EndFor :-------- Note: The For command automatically increments the counter ... - Texas Instruments TI-89 | User Manual - Page 613

While...EndWhile Loops A While...EndWhile loop repeats a block of commands as long as a specified condition is true. The syntax of the While command is: While condition When While is executed, the condition is evaluated. If condition is true, the loop is executed; otherwise, program control jumps ... - Texas Instruments TI-89 | User Manual - Page 614

For example: Ê :0!x :While x - Texas Instruments TI-89 | User Manual - Page 615

Typically, the loop contains commands that let the program exit from the loop. Commonly used commands are: If, Exit, Goto, and Lbl (label). For example: ... and repeated only if the condition is true. The If command could also use a Goto command to transfer program control to a specified Lbl (label) ... - Texas Instruments TI-89 | User Manual - Page 616

...START :-------As with Loop...EndLoop, the loop should contain commands that let the program exit from the loop. Configuring the TI-89 Titanium Programs can contain commands that change the configuration of the calculator. Because mode changes are particularly useful,... - Texas Instruments TI-89 | User Manual - Page 617

... setUnits switch Description Returns a list of calculator characteristics. Returns the name of the current folder.... the current folder. Sets a specified graph format (Coordinates, Graph Order, etc.). Sets ... not translate into other languages when used in a program. See the Technical Reference module.... - Texas Instruments TI-89 | User Manual - Page 618

.... The correct syntax is inserted into your program. :setMode("Graph","FUNCTION") Getting Input from the User and Displaying Output Although ...Likewise, a program can display information such as the result of a calculation. F3 I/O Toolbar Menu To enter most of the commonly used input/output commands, ... - Texas Instruments TI-89 | User Manual - Page 619

...An expression enclosed in "quotes" is treated as a string. Input can also display the Graph screen and let the user update the variables xc and yc (rc and qc in polar mode) by positioning the graph cursor. InputStr Prompts the user to enter an expression. The expression is always ... - Texas Instruments TI-89 | User Manual - Page 620

...the entered expression as a string. Note: String input cannot be used in a calculation. To convert a string to a numeric expression, use the...screen without displaying additional information. Displays the current contents of the Graph screen. Displays the current contents of the Home screen. Displays... - Texas Instruments TI-89 | User Manual - Page 621

... Displays a dialog box that contains a specified character string. Notes: • • In a program, simply performing a calculation does not display the result. You must use an output command. After Disp and Output, the program immediately continues. You may ... - Texas Instruments TI-89 | User Manual - Page 622

...stopped. Request and Text are stand-alone commands that can also be used outside of a dialog box or toolbar program block. Creating a...create your own toolbar menu. A custom menu can contain any available function, instruction, or set of characters. The calculator has a default custom menu that you ... - Texas Instruments TI-89 | User Manual - Page 623

... can let the user turn it on and off manually, or you can let a program turn ...menu Do this: From the Home screen or any other application: • • Press 2 ½. Execute the CustmOn command. Press ...program: Turn off the custom menu From any application: • • Using the default custom menu on the Home ... - Texas Instruments TI-89 | User Manual - Page 624

Defining a Custom Menu To create a custom menu, use the following general structure. Custom : Title title of F1 menu: : Item item 1 : Item item 2 : ...: Title title of F2 menu :: ...: Title title of F3 menu : ... Note: When the user selects a menu item, the text defined by that Item command is ... - Texas Instruments TI-89 | User Manual - Page 625

... may be slightly different than the default custom menu on your calculator. Ê Ë Note: See how "_\o\C" and "_\o\F" display as ¡C and ¡F in the menu. ..., see the international accented characters. To modify the default custom menu, use 3:Restore custom default (as described below) to get the ... - Texas Instruments TI-89 | User Manual - Page 626

... do not need to split them into separate lines. You can create and use only one custom menu at a time. If you need more, write a ... menu), select Clean Up: 2ˆ 2. Select 3:Restore custom default. This pastes the commands used to create the default menu into the entry line. 3. Press ¸ to execute the ... - Texas Instruments TI-89 | User Manual - Page 627

Creating a Table or Graph To create a table or a graph based on one or more functions or equations, use the commands listed in this section.... FnOff FnOn Description Erases any functions or expressions that were graphed with the Graph command. Creates a user-defined function. Displays ... - Texas Instruments TI-89 | User Manual - Page 628

... one or more specified expressions, using the current graphing mode. Displays the Graph screen and lets ... ZoomTrig Note: More information is available about using setMode. Graph Picture and Database Commands ... Graph screen and superimposes a stored graph picture by using AND logic. Programming 628 - Texas Instruments TI-89 | User Manual - Page 629

...variable. Displays the Graph screen and superimposes a stored graph picture by using XOR logic. Note: For information about graph pictures ... Drawing on the Graph Screen To create a drawing object on the Graph screen, use the commands listed in this section. Pixel vs. Point Coordinates When drawing ... - Texas Instruments TI-89 | User Manual - Page 630

... to the Data/Matrix Editor module. Many drawing commands have two forms: one for pixel coordinates and one for point coordinates. Note: Pixel commands start with Pxl, such as PxlChg. Erasing Drawn Objects Command ClrDraw Description Erases all drawn objects from the Graph screen. Programming 630 - Texas Instruments TI-89 | User Manual - Page 631

... PxlChg Description Toggles (inverts) a pixel at the specified coordinates. PtChg, which uses point coordinates, affects the pixel closest to the specified point.... Turns off (erases) a pixel at the specified coordinates. PtOff, which uses point coordinates, affects the pixel closest to the specified ... - Texas Instruments TI-89 | User Manual - Page 632

... a specified expression. Draws the inverse of a specified expression. Draws a parametric equation using specified expressions as its x and y components. Draws a specified polar expression. Draws contours in 3D graphing mode. Draws two expressions and shades the areas where ... - Texas Instruments TI-89 | User Manual - Page 633

Accessing Another TI-89 Titanium Titanium, , a CBL 2, or a CBR If you link two ... on both units can transmit variables between them. If you link a TI-89 Titanium to a Calculator-Based Laboratory™ (CBL 2™) or ... a program on the TI-89 Titanium can access the CBL 2 or CBR. F3 I/O Toolbar Menu Use the ... - Texas Instruments TI-89 | User Manual - Page 634

Accessing Another TI-89 Titanium When two calculators are linked, one acts as a receiving unit and the other as a sending unit. Command GetCalc Description Executed on the receiving unit. Sets up the unit to receive a variable via the I/O port. • • After the receiving unit ... - Texas Instruments TI-89 | User Manual - Page 635

Command Send Description Sends a list variable from the graphing calculator to the CBL 2 or CBR. Debugging Programs ...After you write a program, you can use several techniques to find and correct ... step in debugging your program is to run it. The graphing calculator automatically checks each executed... - Texas Instruments TI-89 | User Manual - Page 636

...after the program stops. When the program is debugged, declare the applicable variables as local. Within a program, temporarily ...critical variables. Disp and Pause cannot be used in a user-defined function. To temporarily change... and EndFunc to Prgm and EndPrgm. Use Disp and Pause to debug the program... - Texas Instruments TI-89 | User Manual - Page 637

... to achieve the same goal. Example 1 This example uses InputStr for input, a While...EndWhile loop to calculate the result, and Text to display the result. ... I/O screen. Ë Converts string entered with InputStr to an expression. Ì Loop calculation. Í Displays output in a dialog box. Programming 637 - Texas Instruments TI-89 | User Manual - Page 638

Note: For {, type 8 µ (zero). For &, press: 8 p (times) Example 2 This example uses Prompt for input, Lbl, and Goto to create a loop, ... :Disp temp :EndPrgm Ê Prompts for input on Program I/O screen. Ë Loop calculation. Ì Displays output on Program I/O screen. Note: Because Prompt returns n... - Texas Instruments TI-89 | User Manual - Page 639

Example 3 This example uses Dialog...EndDlog to create dialog boxes for input and output. It uses Loop...EndLoop to calculate the result. :prog3() :Prgm :...Ë Converts string entered with Request to an expression. Ì Loop calculation. Í Defines a dialog box for output. Programming 639 - Texas Instruments TI-89 | User Manual - Page 640

Example 4 This example uses built-in functions to calculate the result without using a loop. :prog4()...Disp temp :EndPrgm Ê Prompts for input on Program I/O. Ë Calculates sum. Ì Displays output on Program I/O screen....Input returns n as a number, you do not need to use expr to convert n. Function seq... - Texas Instruments TI-89 | User Manual - Page 641

...Programs You can run programs written for the TI-89 Titanium in assembly language. Typically, assembly-language... cable and TI Connect software to send the program to your TI-89 Titanium. For Flash App... software is not compatible with the TI-89 Titanium. The cable, however, works with all units. Use TI... - Texas Instruments TI-89 | User Manual - Page 642

...calculator and unit-to-unit cables from the TI Online Store at education.ti.com/buy. Running an Assembly-Language Program After a TI-89 Titanium assembly-language program is stored on your unit, you can run the program from the Home screen just as you... - Texas Instruments TI-89 | User Manual - Page 643

...to kbdprgm1( ), etc. You Cannot Edit an Assembly-Language Program You cannot use your TI-89 Titanium to edit an assembly-language program. The built-in Program Editor will not open assembly-language programs. Displaying a List of Assembly-... - Texas Instruments TI-89 | User Manual - Page 644

... (education.ti.com) for specific information about how to access TI-89 Titanium features. The graphing calculator also includes an Exec command that executes a string consisting of a ...-language program. Check the Texas Instruments web site for available information. Note: You must use a ... - Texas Instruments TI-89 | User Manual - Page 645

...set as Text and cannot be changed. Shows the folder in which the text variable will be stored. For information about folders, refer to the Calculator Home Screen module. To use a different folder, press B to display a menu of existing folders. Then... - Texas Instruments TI-89 | User Manual - Page 646

... typed text will appear. You can now use the Text Editor as described in the remaining sections of... You do not need to save a session manually before leaving the Text Editor, starting a... leave the Text Editor and go to another application at any time. To return to the session that was displayed when... - Texas Instruments TI-89 | User Manual - Page 647

...at any time. 1. From within the Text Editor, press ƒ and select 1:Open. - or - From any application, launch Text Editor again and select 2:Open. 2. Select the applicable folder and text variable. 3. Press ¸. Note: By default, Variable shows the first ... - Texas Instruments TI-89 | User Manual - Page 648

...which take up memory storage space. To delete a session, use the VAR-LINK screen (2 °) to delete that session's text variable..., you can enter and edit text. In general, use the same techniques that you have already used to enter and edit information on the Home screen's entry line. Text Editor 648 - Texas Instruments TI-89 | User Manual - Page 649

..., previous lines scroll off the top of the screen. Using a USB cable and TI Connect™ software with the TI-89 Titanium, you can use the computer keyboard to type a text file and then send that file to the TI-89 Titanium. This is useful if you need to create a lengthy text ... - Texas Instruments TI-89 | User Manual - Page 650

...shows ) @ j (turns off upper- and lowercase lock) Note: On the TI-89 Titanium, you do not need j or alpha-lock to type x, y, z, or t. But you must use ¤ or uppercase ALPHA-lock for X, Y, Z, or T. On the TI-89 Titanium, alpha-lock is always turned off when you change applications, such as ... - Texas Instruments TI-89 | User Manual - Page 651

On the TI-89 Titanium, while either type of alpha-lock is on: • • To type a period, comma, or other character that is the primary function of a key, you must turn alpha-lock off. To type a second function character such as 2 [, you do not need to turn alphalock off. After you type the ... - Texas Instruments TI-89 | User Manual - Page 652

Highlighting Text To: Highlight text Do this: Move the cursor to the beginning or end of the text. Hold ¤ and press: • • A or B to highlight characters to the left or right of the cursor, respectively. D or C to highlight all characters up to the cursor position on the next or previous line, ... - Texas Instruments TI-89 | User Manual - Page 653

... Copying, and Pasting Text Cutting and copying both place highlighted text into the clipboard of the TI-89 Titanium. Cutting deletes the text from its current location (used to move text) and copying leaves the text. 1. Highlight the text you... - Texas Instruments TI-89 | User Manual - Page 654

Finding Text From the Text Editor: 1. Place the text cursor at any location preceding the text you want to search for. All searches start at the current cursor location. 2. Press ‡. 3. Type the search text. The search is not case sensitive. For example: CASE, case, and Case have the same effect.... - Texas Instruments TI-89 | User Manual - Page 655

Inserting or Overtyping a Character By default, the TI-89 Titanium is in insert mode. To toggle between insert and overtype mode, press 2 /. If the TI-89 Titanium is in: The next character you type: Will be inserted at the cursor. Thin cursor between characters Will replace ... - Texas Instruments TI-89 | User Manual - Page 656

... a complete list of shortcut keys. To access the shortcuts, first press the 2 key. Some special characters are marked on the keyboard, but most are not. On the TI-89 Titanium: • Press ¹ ^ to display the keyboard map. 656 Text Editor - Texas Instruments TI-89 | User Manual - Page 657

... To access the TI-89 Titanium shortcuts, first press the ¹ key. TI-89 Titanium keyboard map feature shortcuts: GREEK (¹ c) - ... to 2 : except: You can use ¹ : if an error message is displayed. When you turn the TI-89 Titanium on again, it will be exactly as you left it. • Text Editor 657 - Texas Instruments TI-89 | User Manual - Page 658

...from the Keyboard Note: To help you find the applicable keys, these maps show only the special symbols. On the TI-89 Titanium: f Press ¹ and then the key for the symbol. For example: ¹ p (times) displays &. These special symbols are not affected by whether... - Texas Instruments TI-89 | User Manual - Page 659

On the TI-89 Titanium: f Press ¹ c to access the Greek character set. ξ X ψ Y ζ Z τ ∆ δ D T α A β B C ε E φ F Γ γ G H I J λ K L µ M - Texas Instruments TI-89 | User Manual - Page 660

...displays Ω The exact keys that you press on the TI-89 Titanium depend on whether alpha-lock is on or off. For example: On the TI-89 Titanium, if: Alpha-lock is off. Then: ¹ c X or ¹ c j X displays ...displays Ω. Important: If you press j on the TI-89 Titanium to access a Greek letter while... - Texas Instruments TI-89 | User Manual - Page 661

Entering and Executing a Command Script By using a command script, you can use the Text Editor to type a series of command lines that can be executed at any time on the Home screen. This lets you create interactive example scripts in which you predefine a series of commands and then execute them ... - Texas Instruments TI-89 | User Manual - Page 662

4. Type a command just as you would on the Home screen. The line can contain only the command, with no additional text. Note: You can mark a line as a command either before or after typing the command on that line. You can type multiple commands on the same line if you type a colon to separate the... - Texas Instruments TI-89 | User Manual - Page 663

... use 3 to set up a split screen manually. However, ...sets up a Text Editor/Home screen split much easier than 3. • • The active application is indicated by a thick border. (By default, the Text Editor is the active application.) To switch between the Text Editor and the Home screen, press 2 a ... - Texas Instruments TI-89 | User Manual - Page 664

... variable. The entries are automatically saved in a script format so that you can open the text variable in the Text Editor and execute the entries as commands. For information, refer to "Saving the Home Screen Entries as a Text Editor Script" in the Calculator Home Screen module. Text Editor 664 - Texas Instruments TI-89 | User Manual - Page 665

Example 1. Type your script. Press „ and select 1:Command to mark the command lines. 2. Press ...and select 1:Script view. 3. Move the cursor to the first command line. Then press - Texas Instruments TI-89 | User Manual - Page 666

Numeric Solver Displaying the Solver and Entering an Equation After you display the Numeric Solver, start by entering the equation that you want to solve. Displaying the Numeric Solver To display the Numeric Solver, press O and then select the Numeric Solver icon. Press ¸. The Numeric Solver ... - Texas Instruments TI-89 | User Manual - Page 667

You can: Refer to a function or equation defined elsewhere. Notes: • For example: Suppose you defined y1(x) on either the: • • Y= Editor: Do not use system function y1(x)=1.25x - Texas Instruments TI-89 | User Manual - Page 668

Recalling Previously Entered Equations Your most recently entered equations (up to 11 with the default setting) are retained in memory. To recall one of these equations: 1. From the Numeric Solver screen, press - Texas Instruments TI-89 | User Manual - Page 669

Saving Equations for Future Use Because the number of equations that you can recall with ‡ Eqns is limited, a particular equation may not be retained indefinitely. To store the current equation for future use, save it to a variable. 1. From the Numeric Solver screen, press , and select ... - Texas Instruments TI-89 | User Manual - Page 670

2. Select the applicable folder and equation variable. 3. Press ¸. Variable eqn contains the current equation; it always .... Defining the Known Variables After you type an equation in the Numeric Solver, enter the applicable values for all variables except the unknown variable. Defining the List of ... - Texas Instruments TI-89 | User Manual - Page 671

Enter a number or expression for all variables except the one you want to solve for. Notes and Common Errors • If you define a variable: In terms of another variable in the equation, that variable must be defined first. In terms of another variable that is not in the equation, that variable must ... - Texas Instruments TI-89 | User Manual - Page 672

...refer to a previously defined function, any variables used as arguments in the function call are listed, not... the equation contains a system variable, you cannot use ...to graph. • Although you can... in the equation, an error occurs if you use ...to graph the solution. In the standard viewing window... - Texas Instruments TI-89 | User Manual - Page 673

... entered variable value. Then edit the equation to use a different variable. Note: This error occurs if you use a reserved name incorrectly or refer to an undefined system function as a simple ... Equation For example, y1(x) is undefined and you use y1. In the Numeric Solver, press C until ... - Texas Instruments TI-89 | User Manual - Page 674

For the bounds, you can also enter variables or expressions that evaluate to appropriate values (bound={lower,upper}) or a valid list variable that contains a two-element list (bound=list). The bounds must be two floating point elements with the first one less than or equal to the second one. Note:... - Texas Instruments TI-89 | User Manual - Page 675

... shows the value being tested when the break occurred. Using the solution and your entered values,...If the iterative process cannot converge on a solution, this error occurs. Graphing the Solution You can... or after you solve for the unknown variable. By graphing the solutions, you can Numeric Solver... - Texas Instruments TI-89 | User Manual - Page 676

... information about ZoomStd and ZoomFit, refer to Basic Function Graphing. The graph is shown in a split screen, where: • • The unknown variable is plotted ... the x axis. leftNrt is plotted on the y axis. The current graph format settings are used. Solutions for the equation exist at leftNrt=0, ... - Texas Instruments TI-89 | User Manual - Page 677

You can explore the graph by using the free-moving cursor, tracing, zooming, etc., as described in Basic Function Graphing. How the Graph Affects Various Settings When you use the Numeric Solver to display a graph: • The following modes are... - Texas Instruments TI-89 | User Manual - Page 678

Selecting a New Initial Guess from the Graph To use the graph cursor to select an initial guess: 1. Move the cursor (either free-moving or trace) to the point that you want to use as the new guess. 2. Use 2 a to make the Numeric Solver screen active. 3. Make sure ... - Texas Instruments TI-89 | User Manual - Page 679

... equation contains single-character variables, their values may inadvertently affect later symbolic calculations. Before leaving the Numeric Solver, you may want to: 1. Press: @...: line. Note: Any time you want to clear single-character variables listed in the solver, use: @ 2 ˆ. Numeric Solver 679 - Texas Instruments TI-89 | User Manual - Page 680

... or Hexadecimal Number To enter a binary number, use the form: 0b binaryNumber (for example: 0b11100110)... O, and the letter b To enter a hexadecimal number, use the form: 0h hexadecimalNumber (for example: 0h89F2C)...0h prefix, such as 11, it is always treated as a decimal number. If you omit the 0h ... - Texas Instruments TI-89 | User Manual - Page 681

Converting between Number Bases Use the 4 conversion operator integerExpression 4 Bin integerExpression 4 Dec ... a Domain For a binary or hex entry, you must use the 0b or 0h prefix. error is displayed. ... mode to the base that you want to convert to. Results use the 0b or 0h prefix to identify. If ... - Texas Instruments TI-89 | User Manual - Page 682

...Home screen, type the number that you want to convert (using the correct prefix) and press ¸. ... Operations with Hex or Bin Numbers For any operation that uses an integer number, you can enter a... Scroll to the Base mode, press B, and select the applicable setting. 3. Press ¸ to close the MODE screen... - Texas Instruments TI-89 | User Manual - Page 683

... to enter a If Base mode = HEX: hex or binary number. Fractional and floating-point results are always shown in decimal form. Dividing When Base =...the result is an integer. To ensure that division always produces an integer, use intDiv( ) instead of e. If Base mode = HEX: 0h prefix... - Texas Instruments TI-89 | User Manual - Page 684

...BIN When Base=HEX or BIN, an integer result is stored internally as a signed, 32-bit binary number, which uses the range (shown in hexadecimal and decimal): 0hFFFFFFFF L1 0h80000000 'L2,147,483,648 0h0 0 0h1 1 0h7FFFFFFF 2,147,483,647 If a... - Texas Instruments TI-89 | User Manual - Page 685

... the bit results. integer1 or integer2 integer1 xor integer2 Note: You can select these operators from the MATH/Base menu. For an example using each operator, refer to the Technical Reference module. Suppose you enter: 0h7AC36 and 0h3D5F Internally, the hexadecimal integers are converted to a ... - Texas Instruments TI-89 | User Manual - Page 686

0h7AC36 = 0b00000000000001111010110000110110 and and 0h3D5F 0b00000000000000000011110101011111 0b00000000000000000010110000010110 = 0h2C16 Leading zeros are not shown in the result. Note: If you enter an integer that is too large to be stored in a signed, 32-bit binary form, a symmetric modulo ... - Texas Instruments TI-89 | User Manual - Page 687

Function with syntax shift(integer) - or - shift(integer,#ofShifts) Description If #ofShifts is: • • • omitted - bits shift once to the right (default is L1). negative - bits shift the specified number of times to the right. positive - bits shift the specified number of times to the left. ... - Texas Instruments TI-89 | User Manual - Page 688

Each bit shifts to the right. 7AC36 = 0b00000000000001111010110000110110 Inserts 0 if leftmost bit is 0, or 1 if leftmost bit is 1 Dropped b00000000000000111101011000011011 = 0h3D61B Leading zeros are not shown in the result. The result is displayed according to the Base mode. Note: If you enter ... - Texas Instruments TI-89 | User Manual - Page 689

... Press 2 ;. (The numbers on your MEMORY screen may vary from those shown.) Prgm/Asn: Includes programs written for the TI-89 Titanium as well as any assembly-language programs you have loaded. History: Size of history pairs saved in the Home ... - Texas Instruments TI-89 | User Manual - Page 690

... All Memory Important: To delete individual (instead of all) variables, use VAR-LINK. 3. When prompted for confirmation, press ¸. The TI-89 Titanium displays a message when the reset is complete. Note: To cancel the reset, press N instead of ... - Texas Instruments TI-89 | User Manual - Page 691

... lists all user-defined variables in all folders and with all data types Ê Folder names (alphabetically listed) Ë Shows installed Flash applications Ì Size in bytes Í Data type Î Variable names (alphabetically listed) This...Indicates this...Collapsed folder view (to right of folder name). ... - Texas Instruments TI-89 | User Manual - Page 692

This... Indicates this...Expanded folder view (to right of folder name). You can scroll for more variables and/or folders (in bottom left corner of screen). If selected with - Texas Instruments TI-89 | User Manual - Page 693

... Assembly-language program Data Expression (includes numeric values) Function Graph database List Matrix Picture of a graph Program String Text Editor session Types not listed above are miscellaneous data types used by software applications. Closing the VAR-LINK Screen To close ... - Texas Instruments TI-89 | User Manual - Page 694

Press: To: Return to the current application without pasting the highlighted name. N Displaying Information about Variables on the Home ... the variable name in parentheses. • • To determine if a variable is archived, use the IsArchiv() function. IsArchiv (var_name) To determine if a variable... - Texas Instruments TI-89 | User Manual - Page 695

Showing the Contents of a Variable You can show all variable types except ASM, DATA, GDB, and variables created by Flash Apps. For example, you must open a DATA variable in the Data/Matrix Editor. 1. On VAR-LINK, move the cursor to highlight the variable. 2. Press: 2ˆ If you highlight a folder, ... - Texas Instruments TI-89 | User Manual - Page 696

...highlighted. Folders and Variables Folders give you a convenient way to manage variables by organizing them into related groups. The TI-89 Titanium has one built-in folder named MAIN. Unless you create other folders and designate a user-created folder... - Texas Instruments TI-89 | User Manual - Page 697

... sets of user-defined variables (including user-defined functions). For example, you can create separate folders for different TI-89 Titanium applications (Math, Text Editor, etc.) or classes. You can store a user-defined variable in any existing folder.... - Texas Instruments TI-89 | User Manual - Page 698

The system variables in the MAIN folder are always directly accessible, regardless of the current folder. Note: User-defined variables are stored in the "current folder" unless you specify otherwise. Creating a Folder from the VAR-LINK Screen 1. Press 2 °. 2. Press ƒ Manage and select 5:Create ... - Texas Instruments TI-89 | User Manual - Page 699

... B to display a menu of existing folders. Note: To cancel the menu or exit the dialog box without saving any changes, press N. 4. Select the applicable folder. Either: • • Highlight the folder name and press ¸. - or - Press the corresponding number or letter for that folder. 5. Press ¸ to ... - Texas Instruments TI-89 | User Manual - Page 700

Renaming Variables or Folders Remember, if you use - Texas Instruments TI-89 | User Manual - Page 701

...and press ¸ to paste that variable name to the open application's entry line. If you paste a ...a Specified Folder and/or Variable Type, or Flash application If you have a lot of variables, folders, or Flash applications, it may be difficult to locate a particular variable. By changing VAR-LINK's view... - Texas Instruments TI-89 | User Manual - Page 702

...To cancel a menu, press N.) View - Allows you to choose variables, Flash applications, or system variables to view. Note: To list system variables (window variables, etc.), ... screen is updated to show only the specified folder, variable type, or Flash application. Memory and Variable Management 702 - Texas Instruments TI-89 | User Manual - Page 703

... folder other than MAIN. You cannot use VAR-LINK to copy variables within the ... screen. Locking or Unlocking Variables Folders, or Flash Applications When a variable is locked, you cannot delete, ... but you cannot delete the folder. When a Flash application is locked, you cannot delete it. 1. On VAR-... - Texas Instruments TI-89 | User Manual - Page 704

2. Press ƒ Manage and select 6:Lock or 7:UnLock. Œ indicates a locked variable or folder in RAM. û indicates an archived variable, which is locked automatically. Deleting a Folder from the VAR-LINK Screen When you delete a folder from the VAR-LINK screen, all of the variables in that folder ... - Texas Instruments TI-89 | User Manual - Page 705

...folder. • • To delete a variable, enter the DelVar command on the calculator Home screen. DelVar var1 [, var2]... of a specific type, enter the DelType command on the calculator Home screen. DelType var_type where var_type ... name directly onto the Home screen's entry line. Which Applications Can You... - Texas Instruments TI-89 | User Manual - Page 706

... variable name to the current cursor location in many Flash applications. Procedure Starting from an application listed above: 1. Position the cursor where you want to insert the variable name. 2. Press 2 °. 3. Highlight the applicable variable. Note: You can also highlight and paste sin... - Texas Instruments TI-89 | User Manual - Page 707

.... Note: You cannot archive variables with reserved names or system variables. - If you acquire additional programs for your TI-89 Titanium, particularly if they are large, you may need to create additional free RAM before you can install those programs... - Texas Instruments TI-89 | User Manual - Page 708

Additional free RAM can improve performance times for certain types of calculations. From the VAR-LINK Screen To archive or unarchive: 1. Press 2 ° to display the VAR-LINK screen. 2. Select one or more variables, which can be in different folders. (You can select an entire folder by selecting the ... - Texas Instruments TI-89 | User Manual - Page 709

... message. This occurs if you try to archive a variable when there is not enough free archive memory. However, the TI-89 Titanium will attempt to rearrange the archived variables to make additional room. Responding to the Garbage Collection Message When you see the ... - Texas Instruments TI-89 | User Manual - Page 710

Why not Perform Garbage Collection Automatically, without a Message? The message: • • Lets you know why an archive will take longer than usual. It also alerts you that the archive may fail if there is not enough memory. Can alert you when a program is caught in a loop that repetitively fills ... - Texas Instruments TI-89 | User Manual - Page 711

variable A variable B Sector 1 Empty block variable D variable C Sector 2 Depending on its size, variable D is stored in one of these locations. Sector 3 This process continues to the end of the last sector. Depending on the size of individual variables, the empty blocks may account for a ... - Texas Instruments TI-89 | User Manual - Page 712

...Even if the MEMORY screen shows enough free space to archive a variable, you may still get a Garbage Collection message. This TI-89 Titanium memory screen shows free space that will be available after all "marked for deletion" variables are deleted. When you... - Texas Instruments TI-89 | User Manual - Page 713

The Garbage Collection Process The garbage collection process: • • Deletes unarchived variables from the user data archive. Rearranges the remaining variables into consecutive blocks. v a r ia b le A v a r ia b le D Sector 1 Sector 2 Memory Error When Accessing an Archived Variable An ... - Texas Instruments TI-89 | User Manual - Page 714

... So that you do not have to unarchive variables unnecessarily, the TI-89 Titanium performs a "behind-the scenes" copy. For example, if you run a program that is in the user data archive, the TI-89 Titanium: 1. Copies the program to RAM. 2. Runs the program. 3. Deletes... - Texas Instruments TI-89 | User Manual - Page 715

3. Free up the needed amount of memory by: • • Deleting unnecessary variables from RAM. Archiving large variables or programs (moving them from RAM to the user data archive). Note: Typically, the RAM free size must be larger than the archived variable. Memory and Variable Management 715 - Texas Instruments TI-89 | User Manual - Page 716

... Two Units The TI-89 Titanium comes with a cable that lets you connect two ...-to-unit cable is included with the TI-89 Titanium; use the calculator's USB port with this cable.... set them up from the VAR-LINK screen. You can link a TI-89 ... TI-89 Titanium, Voyage™ 200, TI-89, or TI-92 Plus. Connectivity... - Texas Instruments TI-89 | User Manual - Page 717

USB Port USB unit-to-unit cable USB Port Two TI-89 Titanium calculators linked together USB unit-to-unit cable Position so that the USB symbols face each other; then insert the connector. Connectivity 717 - Texas Instruments TI-89 | User Manual - Page 718

I/O Port I/O unit-to-unit cable I/O Port A TI-89 Titanium and a Voyage™ 200 linked together Connectivity 718 - Texas Instruments TI-89 | User Manual - Page 719

I/O Port I/O unit-to-unit cable TI-89 I/O Port A TI-89 Titanium and a TI-89 linked together Transmitting Variables, Flash Applications, and Folders Transmitting variables is a convenient way to share any variable listed on the VAR-LINK ... - Texas Instruments TI-89 | User Manual - Page 720

... certain units. For example, you can transfer an App from a TI-89 Titanium to another TI-89 Titanium, or from a TI-89 Titanium to a TI89. 1. Connect two graphing calculators using the appropriate cable. 2. On the sending unit, press 2 ° to display the VAR-... - Texas Instruments TI-89 | User Manual - Page 721

...App (from the F7 tab), this selects the App folder and its contents. A checkmark appears beside the folder, but not beside the contents. Collapsed Flash App folders do not automatically become expanded. • To select multiple variables, Flash applications, or folders, highlight each one and press - Texas Instruments TI-89 | User Manual - Page 722

... must have the appropriate certificate, if required. A certificate is a file that is generated by TI. Free and concept Apps do not require a certificate. Rules for Transmitting Variables, Flash Applications, or Folders Unlocked and unarchived variables that have the same name... - Texas Instruments TI-89 | User Manual - Page 723

... unit. If the receiving unit has the correct certification, the Flash application is transmitted. It remains unlocked on the receiving unit. If the receiving unit has the correct certification, the Flash application is transmitted. It remains locked on the receiving unit. The folder and ... - Texas Instruments TI-89 | User Manual - Page 724

... unit is not attached to the other end of the cable. - or - The receiving unit is not set up to receive. • Press N or ¸ to cancel the transmission. Note: The sending unit may not always display this message. Instead, it may remain BUSY until you cancel the transmission. Connectivity 724 - Texas Instruments TI-89 | User Manual - Page 725

... unit does not have the correct certification for the operating system (OS) or Flash application being sent. Receiving unit New Name is active only if you change ... and continue with the next one, set Overwrite = SKIP and press ¸. To cancel the transmission, press N. • • Connectivity 725 - Texas Instruments TI-89 | User Manual - Page 726

...sent. Press N or ¸ to cancel the transmission. Deleting Variables, Flash Applications, or Folders 1. Press 2 ° to display the VAR-LINK screen. 2. Select the variables, folders, or Flash applications to delete. • To select a single variable, Flash application, or folder, ... - Texas Instruments TI-89 | User Manual - Page 727

... from the Texas Instruments Web site to a computer, and use a TI Connectivity Cable USB to install the application or certificate on your TI-89 Titanium. For Flash App installation instructions, see education.ti.com/guides. Transmitting Variables... - Texas Instruments TI-89 | User Manual - Page 728

... specify either the USB port or I/O port. (See Appendix A for details.) If you do not include these parameters, the TI-89 Titanium communicates through the USB port. The "Chat" Program The following program uses GetCalc and SendCalc. The program sets up two ... - Texas Instruments TI-89 | User Manual - Page 729

... lets this user enter a message in msg and send it. Ì Loop executed by the unit that receives the first message. Í Lets this user enter a message in msg and send it. Î Then sets up this unit to receive and display msg. Ï Loop executed by the unit that sends the first message. Connectivity 729 - Texas Instruments TI-89 | User Manual - Page 730

... This procedure assumes that: • • The two devices are linked with the connecting cable. The Chat program is loaded on both ... the program on one device and then use VAR-LINK to transmit the program variable ... a message and pressing ¸ to send the variable msg to the other device. Connectivity 730... - Texas Instruments TI-89 | User Manual - Page 731

... System (OS) You can upgrade the OS on your TI-89 Titanium using your computer. You can also transfer the ... from one unit to another identical model (for example, from a TI-89 Titanium to a TI-89 Titanium or from a Voyage™ 200 to a Voyage™ 200). Installing OS software resets all device memory to ... - Texas Instruments TI-89 | User Manual - Page 732

... OS may not display correctly. When in OS download mode, the Automatic Power Down™ (APD™) ... replace the depleted batteries with new batteries before downloading. If you accidentally interrupt the transfer ... Again, remember to install new batteries before downloading. Backing Up Your Unit Before an... - Texas Instruments TI-89 | User Manual - Page 733

... OS software will transfer only from a TI-89 Titanium to a TI-89 Titanium, TI-89 to a TI-89, from a Voyage™ 200 to a Voyage™ 200, or from a TI-92 Plus to a TI-92... 1. Link two like units together, for example, a TI-89 Titanium to a TI-89 Titanium; or a Voyage™ 200 to a Voyage™... - Texas Instruments TI-89 | User Manual - Page 734

... returns to either the Apps desktop or the Home screen. You may need to use 8 | (lighten) or 8 « (darken) to adjust the contrast. Do Not Attempt to Cancel an Operating ... it is complete, the receiving unit will not operate properly. You will then need to reinstall the OS upgrade. Connectivity 734 - Texas Instruments TI-89 | User Manual - Page 735

... and install a valid certificate. If the App no longer requires a certificate, you can download it again from the Texas Instruments Web site at education.ti.com and then install the App again on your calculator. An error occurred during the ... - Texas Instruments TI-89 | User Manual - Page 736

... List menu option allows collection of electronic ID numbers from individual TI-89 Titanium, TI-89, Voyage™ 200, or TI-92 Plus ...Instruments so a group certificate can be issued. A group certificate allows distribution of purchased software to multiple TI-89 Titanium, TI-89, Voyage™ 200, or TI-92 ... - Texas Instruments TI-89 | User Manual - Page 737

To send an ID number from one device to another, first connect two units by using a USB unit-to-unit cable or I/O unit-to-unit cable. Step: On ...collection device, it is possible to collect over 4,000 IDs. Notes: • You cannot view the ID list on the sending or collecting units. Connectivity 737 - Texas Instruments TI-89 | User Manual - Page 738

... ° to display the VAR-LINK screen. 2. Press ƒ Manage and select A:Clear ID List. Compatibility among the TI-89 Titanium, Voyage™ 200, TI-89, and TI-92 Plus In general, TI-89 Titanium, TI-89, Voyage™ 200, and TI-92 Plus data and programs are compatible with each other, ... - Texas Instruments TI-89 | User Manual - Page 739

...the TI-89 Titanium has more memory (more room for Apps and user archive) and the TI-89 Titanium has a USB port. The Voyage™ ... All data is compatible among the TI-89 Titanium, TI-89, Voyage™ 200, and TI... and keyboards and the USB port on the TI-89 Titanium. Other incompatibilites can occur ... - Texas Instruments TI-89 | User Manual - Page 740

Link Transmission Table To & From ( TI-89 Titanium TI-89 TI-89 Titanium OS Apps Variables Apps Variables Voyage™ 2 00 TI-92 Plus Variables Variables TI-89 Apps Variables OS Apps Variables Variables Variables Variables Voyage™ 2 Variables 00 TI-92 Plus Variables OS ... - Texas Instruments TI-89 | User Manual - Page 741

Activities Analyzing the Pole-Corner Problem A ten-foot-wide hallway meets a five-foot-wide hallway in the corner of... touching the interior corner and opposite sides of the two hallways as shown in the diagram below. Use proportional sides and the Pythagorean theorem to find the length c with respect... - Texas Instruments TI-89 | User Manual - Page 742

... = w+5 b = 10a w a c b 5 w 1. Define the expression for side a in terms of w and store it in a(w). Note: When you want to define a function, use multiple character names as you build the definition. 2. Define the expression for side b in terms of w and store it in b(w). 3. Define the expression ... - Texas Instruments TI-89 | User Manual - Page 743

4. Use the zeros( ) function to compute the zeros of the first derivative of c(w) to find the minimum value of c(w). Note: The maximum length of the pole is ... maximum length of the pole. Result: Approximately 20.8097 feet. Note: Use the auto-paste feature to copy the result from step 4 to the entry ... - Texas Instruments TI-89 | User Manual - Page 744

... 3. Subtract c from both sides of the equation. 2±| j C Note: This example uses the result of the last answer to perform computations on the TI-89 Titanium. This feature reduces keystroking and chances for error. Activities 744 - Texas Instruments TI-89 | User Manual - Page 745

4. Divide both sides of the equation by the leading coefficient a. Note: Continue to use the last answer (2 ±) as in step 3 in steps 4 through 9. 5. Use ... square by adding ((b/a)/2)2 to both sides of the equation. 7. Factor the result using the factor( ) function. 8. Multiply both sides of the ... - Texas Instruments TI-89 | User Manual - Page 746

9. Take the square root of both sides of the equation with the constraint that a>0 and b>0 and x>0. 10. Solve for x by subtracting b from both sides and then dividing by 2a. Note: This is only one of the two general quadratic solutions due to the constraint in step 9. Exploring a Matrix This ... - Texas Instruments TI-89 | User Manual - Page 747

...and then solve to find an invalid value of the inverse. 1. On the Home screen, use RandSeed to set the random number generator seed to the factory ...it in a. 2. Replace the [2,3] element of the matrix with the variable x, and then use the augment( ) function, to augment the 3x3 identity to a and store... - Texas Instruments TI-89 | User Manual - Page 748

...to find where cos(x) = sin(x) for the values of x between 0 and 3p. Method 1: Graph Plot Perform the following steps to observe where the graphs of the functions y1(x)=cos(x) and y2(x)=sin(x) intersect. 1. In the Y= Editor, set y1(x)=cos(x) and y2(x)=sin(x). 2.... - Texas Instruments TI-89 | User Manual - Page 749

...solve the equation sin(x)=cos(x) with respect to x. 1. On the Home screen, enter solve(sin(x)= cos(x),x). The solution for x is where @n1 is any integer. 2. Using the ceiling( ) and floor( ) functions, find the ceiling and floor values for the intersection points as shown. Note: Move the cursor into... - Texas Instruments TI-89 | User Manual - Page 750

...V. Detailed information about the steps used in this example can be found in Symbolic Manipulation and 3D Graphing. Exploring a 3D Graph of the Surface Area of a Parallelepiped Perform the... the surface area of a parallelepiped, draw a 3D graph, and use the Trace tool to find a point close to... - Texas Instruments TI-89 | User Manual - Page 751

2. Select the 3D Graph mode. Then enter the function for z1(x,y) as shown in this example with volume v=300. 3. Set the Window variables to: eye= [60,90,0] x= [0,15,15] y= [0,15,15] z= [260,300] ncontour= [5] 4. Graph the function and use Trace to go to the point close to the minimum value ... - Texas Instruments TI-89 | User Manual - Page 752

... 8 ¸ to obtain the approximate result in decimal form. Running a Tutorial Script Using the Text Editor This activity shows you how to use the Text Editor to run a tutorial script. Running ... Script Perform the following steps to write a script using the Text Editor, test each line, and ... - Texas Instruments TI-89 | User Manual - Page 753

2. Type the following lines into the Text Editor. : Compute the maximum value of f on the closed interval [a,b] : assume that f is differentiable on [a,b] : define f(x)=x^3N2x^2+xN7 : 1!a:3.22!b : d(f(x),x)!df(x) : zeros(df(x),x) : f(ans(1)) : f({a,b}) : The largest number from the previous two ... - Texas Instruments TI-89 | User Manual - Page 754

4. Press - Texas Instruments TI-89 | User Manual - Page 755

... To examine the decomposition of the rational function f(x)=(x3N10x2Nx+50)/(xN2) on a graph: 1. On the Home screen, enter the rational function as shown below ... entries are displayed in reverse type in the example screens. 2. Use the proper fraction function (propFrac) to split the function into a ... - Texas Instruments TI-89 | User Manual - Page 756

... style for y2(x). 6. Add the original function f(x) to y3(x) and select the square graphing style. 7. In the Window Editor, set the window variables to: x= [L10,15,10] y= [L100,100,10] 8. Draw the graph. Note: Be sure the Graph mode is set to Function. Activities 756 - Texas Instruments TI-89 | User Manual - Page 757

...quadratic function as x gets very large in both the positive and negative directions. The lower graph is y3(x)=f(x) graphed separately using the line style. Studying Statistics... statistical study of the weights of high school students using categories to filter the data. Activities 757 - Texas Instruments TI-89 | User Manual - Page 758

...) and respective categories are entered in the Data/Matrix Editor. Table 1: Category vs. Description Category (C2) 1 2 3 4 5 6 7 8 Academic Year and Sex Freshman boys Freshman ... Senior boys Senior girls Table 2: C1 (weight of each student in pounds) vs. C2 (category) C1 110 125 105 120 140 85 80 90 ... - Texas Instruments TI-89 | User Manual - Page 759

Perform the following steps to compare the weight of high school students to their year in school. 1. Start the Data/Matrix Editor, and create a new Data variable named students. 2. Enter the data and categories from Table 2 into columns c1 and c2, respectively. 3. Open the „ Plot Setup toolbar... - Texas Instruments TI-89 | User Manual - Page 760

5. Copy Plot 1 to Plot 2. 6. Repeat step 5 and copy Plot 1 to Plot 3, Plot 4, and Plot 5. 7. Press ƒ, and modify the Include Categories item for Plot 2 through Plot 5 to the following: Plot 2: {1,2} (freshman boys, girls) Plot 3: {7,8} (senior boys, girls) Plot 4: {1,3,5,7} (all boys) Plot 5:... - Texas Instruments TI-89 | User Manual - Page 761

... Ì all freshmen Í all seniors Î all boys Ï all girls Ì Ë Î Ï Ê Í CBL 2™ Program for the TI-89 Titanium This activity provides a program that can be used when the TI-89 Titanium is connected to a Calculator-Based Laboratory™ (CBL 2™) unit. This program works with the "... - Texas Instruments TI-89 | User Manual - Page 762

...:PtText "T(S)",80,L5 Description Set up the TI-89 Titanium for function graphing. Turn off any previous plots. Turn off any previous functions.... on graph screens. Clear any previous graphs. Clear the TI-89 Titanium Program IO (input/output) screen. Set up the Window variables. Create and/... - Texas Instruments TI-89 | User Manual - Page 763

...number. Plot time and data using NewPlot and the Trace tool. Display the graph. Re-label the axes. Stop the program. You can also use the Calculator-Based Ranger™ ... of a Hit Baseball This activity uses the split screen settings to show a parametric graph and a table at the same... - Texas Instruments TI-89 | User Manual - Page 764

Setting Up a Parametric Graph and Table Perform the following steps to study the flight of a hit baseball that has an initial velocity of 95 feet per second and an initial angle of 32 degrees. 1. Set the modes for Page 1 as shown in this screen. 2. Set the modes for Page 2 as shown in this screen.... - Texas Instruments TI-89 | User Manual - Page 765

...300,50] y values= [0,100,10] 6. Switch to the right side and display the graph. Note: Press 2 a. 7. Display the TABLE SETUP dialog box, and change tblStart to ...t=2. Note: Press 8 '. 9. Switch to the right side. Press ..., and trace the graph to show the values of xc and yc when tc=2. Note: As you ... - Texas Instruments TI-89 | User Manual - Page 766

... distance. Visualizing Complex Zeros of a Cubic Polynomial This activity describes graphing the complex zeros of a cubic polynomial. Visualizing Complex Roots Perform ... (xN1)(xNi)(x+i), find the absolute value of the function, graph the modulus surface, and use the Trace tool to explore the modulus ... - Texas Instruments TI-89 | User Manual - Page 767

... Use the abs( ) function to find the absolute value of f(x+yi). (This calculation may take about 2 minutes... and store it in the function z1(x,y). Note: The graph of z1(x,y) will be the modulus surface. 5. Set the unit... mode, turn on the axes for graph format, and set the Window variables to: eye= [20... - Texas Instruments TI-89 | User Manual - Page 768

...: 8Í and set the Graph Format variables to: Axes= ON Labels= ON Style= HIDDEN SURFACE Note: Calculating and drawing the graph takes about three minutes. 7. Graph the modulus surface. The 3D graph is used to visually display a picture of the roots where the surface touches the xy ... - Texas Instruments TI-89 | User Manual - Page 769

...1,Li, i of the polynomial x3Nx2+xN1 can be visualized with the three points where the graph of the modulus surface touches the xy plane. Solving a Standard Annuity Problem This activity can be used to find the interest rate, starting principal, number of compounding... - Texas Instruments TI-89 | User Manual - Page 770

... an annuity where the starting principal (p) is 1,000, number of compounding periods (n) is 6, and the future value (s) is 2,000. 1. On the Home screen, enter the equation to solve for p. 2. Enter the equation to solve for n. 3. Enter the equation to solve for i using the with operator. solve(s=p - Texas Instruments TI-89 | User Manual - Page 771

Finding the Future Value of an Annuity Find the future value of an annuity using the values from the previous example where the interest rate is 14%. Enter the equation to solve for s. solve(s=p - Texas Instruments TI-89 | User Manual - Page 772

...tempstr1)) :EndIf :EndFor :Return "parameter error" :EndFunc Note: You can use your computer keyboard to type lengthy text and then use TI Connect™ software to send it to the TI-89 Titanium. Activities 772 - Texas Instruments TI-89 | User Manual - Page 773

... to find n. Result: The number of payments is 38.8308. Finding Rational, Real, and Complex Factors This activity shows how to find rational, real, or complex factors of expressions. Detailed information about the steps used in this example can be found in Symbolic Manipulation. Activities 773 - Texas Instruments TI-89 | User Manual - Page 774

Finding Factors Enter the expressions shown below on the Home screen. 1. factor(x^3N5x) ¸ displays a rational result. 2. factor(x^3+5x) ¸ displays a rational result. 3. factor(x^3N5x,x) ¸ displays a real result. 4. cfactor(x^3+5x,x) ¸ displays a complex result. Activities 774 - Texas Instruments TI-89 | User Manual - Page 775

... without Replacement This activity simulates drawing different colored balls from an urn without replacing them. Detailed information about the steps used in this example can be found in the electronic chapter Programming. Sampling-without- Replacement Function In the Program Editor, define drawball... - Texas Instruments TI-89 | User Manual - Page 776

... etc. Simulate drawing balls without replacing them. 1. Enter a random seed using the RandSeed command. 2. Assuming the urn contains 10 red balls and 25 ... Enter drawball({10,25},5). Result: 2 red balls and 3 white balls. Using Vectors to Determine Velocity A small fishing boat leaves from the south... - Texas Instruments TI-89 | User Manual - Page 777

... (Show angles in degrees and display all digits with a floating decimal point.) Press: 3 D D D. On the Angle option, select 2:DEGREE. On the .... 2. Set the modes for Page 2 as shown in this screen. (Display answers in decimal form.) Press: 3 „ D D. On the Exact/Approx option, select 3:APPROXIMATE. ... - Texas Instruments TI-89 | User Manual - Page 778

..., water current, and resultant path of the boat. Store these vectors as i, c, and r. Use the value a for the unknown speed of the current. Use the value b...°]!r Vectors are commonly written in either polar or rectangular form, so it is useful to convert polar vectors into rectangular form. 4. Define ... - Texas Instruments TI-89 | User Manual - Page 779

When converted to rectangular form, the sum of vectors i and c equals the resultant vector r. 5. Using function p2r, convert vectors i, c, and r to rectangular form. Enter: p2r(i)!i p2r(c)!c p2r(r)!r Because the vectors are equal, the xcoordinate of i+c must equal the x-coordinate of the resultant ... - Texas Instruments TI-89 | User Manual - Page 780

7. Solve eq2 for b to calculate the actual speed of the boat. solve(eq2,b) 8. Substitute the known value of b into eq1, and solve eq1 for a to determine a, the speed of the eastward traveling current. solve(eq1,a) | b The boat travels at a speed of 22.7 knots, and the water current is ... - Texas Instruments TI-89 | User Manual - Page 781

... Listing of Operations ...782 Alphabetical Listing of Operations...786 This section describes the syntax and action of each TI-89 Titanium function and instruction that is included in the operating system (OS). See modules relating to calculator software ... - Texas Instruments TI-89 | User Manual - Page 782

Categorical Listing of Operations This section lists the TI-89 Titanium functions and instructions in functional groups along with the page numbers where they are described. Algebra | ("with") cSolve() factor() nSolve() solve() zeros() ... - Texas Instruments TI-89 | User Manual - Page 783

Math + (add) - Texas Instruments TI-89 | User Manual - Page 784

Programming = ≤ # (indirection) and checkTmr() ClrErr ClrIO CustmOff Cycle DelFold Dialog DispHome Else EndDlog EndIf EndTBar entry() For Get getDate() getFold() getTime() getTmZn() Goto InputStr Lbl isVar() Lock NewFold or PassErr Prgm Request Send setDate() setGraph() setTime() startTmr() ... - Texas Instruments TI-89 | User Manual - Page 785

...() string() 790 819 840 843 847 853 859 862 878 882 893 908 818 834 865 883 CubicReg LinReg mean() nCr() nPr() PlotsOn QuartReg RandSeed SortA stdDevPop() 801 836 842 845 848 853 860 862 881 882 Strings char() format() mid() rotate() 791 822 843 865 Appendix A: Functions and Instructions 785 - Texas Instruments TI-89 | User Manual - Page 786

... all examples in this section were performed in the default reset mode, and all variables are assumed to...you must use the 0b or 0h prefix, respectively. Without a prefix, integers are treated as decimal ...prefix). A hexadecimal entry can have up to 8 digits. 786 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 787

AndPic CATALOG AndPic picVar[, row, column] In function graphing mode and Y= Editor: y1(x) = cos(x) C... Copy As...Type = Picture, Variable = PIC1 Displays the Graph screen and logically "ANDS" the picture stored in picVar and the current graph screen at pixel coordinates (row, column). picVar must... - Texas Instruments TI-89 | User Manual - Page 788

...(f(x),x,a,b) ¸ b 3.820... Returns the arc length of expression1 from start to end with respect to variable var. Regardless of the graphing mode, arc length is calculated as an integral assuming a function mode definition. arcLen(list1,var,start,end) ... - Texas Instruments TI-89 | User Manual - Page 789

... matrix that is matrix2 appended to matrix1. When the "," character is used, the matrices must have equal row ... of the Base mode. If you enter a decimal integer that is too large for a signed, 32-... operation is used to bring the value into the appropriate range. Appendix A: Functions and Instructions... - Texas Instruments TI-89 | User Manual - Page 790

...for any independent variables (x in the example to the right) are calculated according to the Window variable values. For information about the increments used to evaluate a graph, refer to the module that describes that graphing mode. 3D graphing mode ... - Texas Instruments TI-89 | User Manual - Page 791

...) ⇒ character char(38) ¸ char(65) ¸ "&" "A" Returns a character string containing the character numbered integer from the TI-89 Titanium/Voyage™ 200 character set. See Appendix B for a complete listing of character codes. The valid range for integer ... - Texas Instruments TI-89 | User Manual - Page 792

...Turns the clock OFF. ClockOn CATALOG ClockOn Turns the clock ON. ClrDraw CATALOG ClrDraw Clears the Graph screen and resets the Smart Graph feature so that the next time the Graph screen is displayed, the graph will be redrawn. While viewing the Graph screen, you ... - Texas Instruments TI-89 | User Manual - Page 793

ClrGraph CATALOG ClrGraph Clears any functions or expressions that were graphed with the Graph command or were created with the Table command. (See Graph or Table.) Any previously selected Y= functions will be graphed the next time that the graph is displayed. ClrHome CATALOG ClrHome Clears ... - Texas Instruments TI-89 | User Manual - Page 794

..., CopyVar creates it. Note: CopyVar is similar to the store instruction (! ) when you are copying an expression, list, matrix, or character string except that no simplification takes place when using CopyVar. You must ... types such as Pic and GDB variables. 794 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 795

... Returns the matrix cosine of squareMatrix1. This is not the same as calculating the cosine of each element. When a scalar function f(A) operates on squareMatrix1 (A), the result is calculated by the algorithm: 1. Compute the eigenvalues (l i) and eigenvectors (Vi) of A. squareMatrix1 must... - Texas Instruments TI-89 | User Manual - Page 796

...Returns the matrix inverse cosine of squareMatrix1. This is not the same as calculating the inverse cosine of each element. For information about the ... the matrix hyperbolic cosine of squareMatrix1. This is not the same as calculating the hyperbolic cosine of each element. For information about the ... - Texas Instruments TI-89 | User Manual - Page 797

... or column vector (depending on the arguments) that is the cross product of vector1 and vector2. Both vector1 and vector2 must be row vectors, or both must be column vectors. Both vectors must have equal dimension, and the dimension must be either 2 or 3. Appendix A: Functions and Instructions 797 - Texas Instruments TI-89 | User Manual - Page 798

... for all real and non-real solutions. Even if equation is real, cSolve() allows non-real results in real mode. Although the TI-89 Titanium/Voyage™ 200 processes all undefined variables that do not end with an underscore (_) as if they were real, ... - Texas Instruments TI-89 | User Manual - Page 799

...domain is real. In the complex domain, fractional powers having odd denominators use the principal rather ..., solutions from solve() to equations involving such fractional powers are not necessarily a subset of those ...øi and v_=1/2 + øi 2 or u_=0 and v_=0 Appendix A: Functions and Instructions 799 - Texas Instruments TI-89 | User Manual - Page 800

... equations are linear in all solution variables, cSolve() uses Gaussian elimination to attempt to determine all ... variables, cSolve() determines at most one solution using an approximate iterative method. To do so, ... 4.891...øi and z_=1.588...+ 1.540...øi 800 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 801

... list1, list2[, [list3] [, list4, list5]] In function graphing mode. {0,1,2,3}! L1 ¸ {0,2,3,4}! L2 ¸ CubicReg L1,L2 ¸ ShowStat ¸ {0 1 2 3} {0 2 3 4} Done Calculates the cubic polynomial regression and updates ... ¸ NewPlot 1,1,L1,L2 ¸ ¥% Done Done Appendix A: Functions and Instructions 801 - Texas Instruments TI-89 | User Manual - Page 802

... menu, and the second instance removes the menu. The menu is removed also when you change applications. "Lists" "List1" "Scores" "L3" "Fractions" "f(x)" "h(x)" "Graph" 802 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 803

Cycle Cycle CATALOG Program listing: Transfers program control immediately to the next iteration of the current loop (For, While, or Loop). Cycle is not allowed outside the three looping structures (For, While, or Loop). :¦ Sum the integers from 1 to 100 skipping 50. :0! temp :For i,1,100,1 :If... - Texas Instruments TI-89 | User Manual - Page 804

...NOT specify any initial guesses, cZeros() uses the lexical Gröbner/Buchberger elimination ...index the matrix by [row]. Note: The following examples use an underscore so that the variables will be treated as complex....¬z_^2}, {w_,z_}) ¸ [.494... ë.703...] 804 Appendix A: Functions and Instructions... - Texas Instruments TI-89 | User Manual - Page 805

...,w_ìz_^2}, {w_,z_=1+ i}) ¸ [.149...+4.89...øi 1.588...+1.540...øi] d() 2 = key ... integer from 1 to 7, with each integer representing a day of the week. Use dayOfWk() to determine on which day of the week ...Note: May not give accurate results for years Appendix A: Functions and Instructions 805 - Texas Instruments TI-89 | User Manual - Page 806

... ¸ 1.5ó 45.370...ó Returns the decimal equivalent of the argument expressed in degrees. The argument ... ¸ 19 31 Converts integer1 to a decimal (base 10) number. A binary or hexadecimal.... The result is displayed in decimal, regardless of the Base mode. 806 Appendix A: Functions and Instructions... - Texas Instruments TI-89 | User Manual - Page 807

...character. block also can include expressions and instructions (such as If, Then, Else, and For). This allows the function funcName() to use the Return instruction to return a specific result. Note: It.... block also can include expressions and instructions (such as If, Then, Else, and For)... - Texas Instruments TI-89 | User Manual - Page 808

... xñ +@3 2 When comparing your results with textbook or solve(ans(1),y) ¸ manual solutions, be aware that different x 2 + 2i@ 3 methods introduce arbitrary constants at different y=tanê points in the calculation, which may produce 2 different general solutions. ( )+@n1øp ) ... - Texas Instruments TI-89 | User Manual - Page 809

...impdif(soln,x,y) ¸ stored values. Implicit differentiation can help verify implicit solutions. DelVar ode,soln ¸ ... floating-point arithmetic. • If tol is omitted or not used, the default tolerance is calculated as: 5Eë 14 ù max(dim(squareMatrix)) ù rowNorm(squareMatrix) det(identity(3) ìxn.. - Texas Instruments TI-89 | User Manual - Page 810

... dim([1,ë 1,2;ë 2,3,5]) ¸ {2 3} Returns the dimensions of matrix as a twoelement list {rows, columns}. dim(string) ⇒ integer dim("Hello") ¸ dim("Hello"&" there") ¸ 5 11 Returns the number of characters contained in character string string. 810 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 811

...), press ¥ To type 4, press 2 . DispG DispG CATALOG In function graphing mode: Displays the current contents of the Graph screen. Program segment: © :5ù cos(x)! y1(x) :ë 10! xmin :10! xmax .... Press N or ¸ to resume execution if in a program. Appendix A: Functions and Instructions 811 - Texas Instruments TI-89 | User Manual - Page 812

...as a function, using x as the independent variable. Note: Regraphing erases all drawn items. In function graphing mode and ZoomStd window: DrawFunc 1.25xù... axis and y values on the x axis. x is the independent variable. In function graphing mode and ZoomStd window: DrawInv 1.25xù... - Texas Instruments TI-89 | User Manual - Page 813

...expression1, expression2 [, tmin] [, tmax] [, tstep] In function graphing mode and ZoomStd window: DrawParm ...qmin] [, qmax] [, qstep] Draws the polar graph of expression, using q as the independent variable. Defaults for qmin,..., y1, slope Displays the graph and draws a line using the formula yì y1... - Texas Instruments TI-89 | User Manual - Page 814

...e^(1.) ¸ e^(3)^2 ¸ e 2.718...e9 Returns e raised to the expression1 power. Note: On the TI-89 Titanium, pressing ¥ s to display e^( is different from pressing j [E ] . On the Voyage 200, pressing 2s to display e^ is different from accessing the character e... - Texas Instruments TI-89 | User Manual - Page 815

... © ElseIf Boolean expressionN Then blockN EndIf © ElseIf can be used as a program instruction for program branching. EndCustm EndDlog EndFor EndFunc EndIf See Custom, page 802. See ... page 822. See Func, page 823. See If, page 830. Appendix A: Functions and Instructions 815 - Texas Instruments TI-89 | User Manual - Page 816

...333333 1000000 1/3 7ø x +y 2 exact( expression1 [, tol]) ⇒ expression exact( list1 [, tol]) ⇒ list exact( matrix1 [, tol]) ⇒ matrix Uses Exact mode arithmetic regardless of the Exact/Approx mode setting to return, when possible, the rational-number equivalent of the argument. tol specifies ... - Texas Instruments TI-89 | User Manual - Page 817

... pass one or more arguments to the program. For more information, check the TI Web site: http://www.ti.com/calc Warning: Exec gives you access to the full power of the microprocessor. Please ... suggest you make a backup of the calculator contents before attempting to use the Exec command. Exit ... - Texas Instruments TI-89 | User Manual - Page 818

...one variable, using var might make the denominator factorization used for partial fraction expansion more complete. Hint: For rational ... x + x+1 xñ ì 2 expand(ans(1),x) ¸ 1 1 + + x+‡2 xì ‡2 x+1 logarithms and fractional powers regardless of var. For increased distribution of logarithms and ... - Texas Instruments TI-89 | User Manual - Page 819

.../Regressions menu ExpReg list1, list2 [, [list3] [, list4, list5]] In function graphing mode: {1,2,3,4,5,6,7,8}! L1 ¸ {1 2 ...} {1,2,2,2,3,4,5,7}! L2 ¸ ExpReg L1,L2 ¸ ShowStat ¸ {1 2 ...} Done Calculates the exponential regression and updates all the system statistics variables. ... - Texas Instruments TI-89 | User Manual - Page 820

...) a computation, press ´. If you merely want to determine if a number is prime, use isPrime() instead. It is much faster, particularly if rationalNumber is not prime and if the ... or matrix of the floor of each element. Note: See also ceiling() and int(). 820 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 821

...x = 1. x=0 FnOff FnOff CATALOG Deselects all Y= functions for the current graphing mode. In split-screen, two-graph mode, FnOff only... deselects y1(x) and y3(x). Deselects the specified Y= functions for the current graphing mode. In parametric graphing mode: FnOff 1,3 ¸ deselects xt1(t), yt1(t),... - Texas Instruments TI-89 | User Manual - Page 822

...-graph mode, FnOn only applies to the active graph. FnOn [1] [, 2] ...[,99] Selects the specified Y= functions for...graphing mode. Note: In 3D graphing mode, only one function at a time can be selected.... any previously selected function. In the other graph modes, previously selected functions are not ... - Texas Instruments TI-89 | User Manual - Page 823

...Func Func CATALOG block EndFunc In function graphing mode, define a piecewise function: Define ...Else:Return 3ì x:EndIf:EndFunc ¸ Graph g(x) ¸ Required as the first statement in a multistatement... with the ":" character. Note: when() also can be used to define and graph piecewise-defined functions... - Texas Instruments TI-89 | User Manual - Page 824

...port and stores it in variable var on the receiving TI-89 Titanium. If the port is not specified, or... data from either port. If port = 1, the TI-89 Titanium waits for data from the USB port. If port = 2, the TI-89 Titanium waits for data from the I/O port. getConfg() CATALOG ⇒ ListPairs getConfg... - Texas Instruments TI-89 | User Manual - Page 825

... is pressed. The prefix keys (shift ¤, second function 2, option ¥, alpha j, and drag ,) are not recognized by themselves; however, they modify the keycodes of the key that follows them. For example 2 Ù. For a listing of key codes, see Appendix B. Appendix A: Functions and Instructions 825 - Texas Instruments TI-89 | User Manual - Page 826

... the Unit System mode, use setUnits() or getUnits() instead of setMode() or getMode(). getMode("all") ¸ {"Graph" "FUNCTION" "Display Digits" "FLOAT 6" "Angle" "RADIAN"..." "Split 1 App" "Home" "Split 2 App" "Graph" "Number of Graphs" "1" "Graph 2" "FUNCTION" "Split Screen Ratio" ... - Texas Instruments TI-89 | User Manual - Page 827

... Expression (includes complex/arbitrary/undefined TRUE, FALSE, pi, e) Function Graph data base List Matrix Variable does not exist Real number Miscellaneous data type for future use by software applications Picture Program String Text type Name of another variable Appendix A: Functions and ... - Texas Instruments TI-89 | User Manual - Page 828

... the label labelName. labelName must be defined in the same program using a Lbl instruction. 4Grad CATALOG/MATH/Angle menu 4 Grad expression In Degree angle mode: 1.66667G ... 4Grad ¸ In Radian angle mode: 1.5 4Grad ¸ 95.493G 828 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 829

... CATALOG Graph expression1[, expression2] [, var1] [, var2] The Smart Graph feature graphs the requested expressions/ functions using the current graphing mode. Expressions entered using the Graph or Table commands are assigned increasing function numbers starting with 1. They ... - Texas Instruments TI-89 | User Manual - Page 830

... y imag(expression1) returns the imaginary part of the argument. Note: All undefined variables are treated as real variables. See also real(). imag(list1) ⇒ list imag({ë3,4ëi,i}) ¸ {0 ë1 1} Returns a list of the imaginary parts of the elements. 830 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 831

... Program segment: Pauses the program, displays the current Graph screen, and lets you update variables ...rc and qc for polar coordinate mode) by positioning the graph cursor. When you press ¸, the program resumes. © :¦ Get 10 points from the Graph :For i,1,10 : Input : xc! XLIST[i] : yc! YLIST[i] ... - Texas Instruments TI-89 | User Manual - Page 832

... is archived or not. Returns true if var_name is archived. Returns false if var_name is not archived. isClkOn() CATALOG isClkOn() ⇒ true,false Determines if the clock is ON or OFF. Returns true if the clock is ON. Returns false if the clock is OFF. 832 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 833

...If you merely want to determine if number is prime, use isPrime() instead of factor(). It is much faster, ... the name labelName in the program. You can use a Goto labelName instruction to transfer program control to the instruction immediately following the label. labelName must meet the same naming ... - Texas Instruments TI-89 | User Manual - Page 834

...18 Returns the least common multiple of the two arguments. The lcm of two fractions is the lcm of their numerators divided by the gcd of their denominators. The lcm of fractional floatingpoint numbers is their product. For two lists or matrices, returns the least common... - Texas Instruments TI-89 | User Manual - Page 835

...Line xStart, yStart, xEnd, yEnd[, drawMode] Displays the Graph screen and draws, erases, or inverts a ...[, drawMode] In a ZoomStd window: LineHorz 2.5 ¸ Displays the Graph screen and draws, erases, or inverts a ... erases all drawn items. See also PxlHorz. Appendix A: Functions and Instructions 835 - Texas Instruments TI-89 | User Manual - Page 836

... LineVert x [, drawMode] In a ZoomStd window: LineVert ë 2.5 ¸ Displays the Graph screen and draws, erases, or inverts a vertical line at ... menu LinReg list1, list2[, [list3] [, list4, list5]] In function graphing mode: {0,1,2,3,4,5,6}! L1 ¸ {0 1 2 ...} {0,2,3,4,3,4,6}! L2 ¸ LinReg L1,L2 ¸ ... - Texas Instruments TI-89 | User Manual - Page 837

...Returns the matrix natural logarithm of squareMatrix1. This is not the same as calculating the natural logarithm of each element. For information about the calculation method, refer to cos() on. squareMatrix1 must be diagonalizable. The result In Radian angle mode and Rectangular ... - Texas Instruments TI-89 | User Manual - Page 838

... MATH/Statistics/Regressions menu LnReg list1, list2[, [list3] [, list4, list5]] In function graphing mode: Calculates the logarithmic regression and updates {1,2,3,4,5,6,7,8}! L1...command. DelVar L1 ¸ Error: Variable is locked or protected 838 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 839

... the matrix base-expression2 logarithm of squareMatrix1. This is not the same as calculating the base-expression2 logarithm of each element. For information about the calculation method, refer to cos(). squareMatrix1 must be diagonalizable. The result In Radian angle mode and ... - Texas Instruments TI-89 | User Manual - Page 840

... menu Logistic list1, list2 [ , [iterations] , [list3] [, list4, list5] ] In function graphing mode: {1,2,3,4,5,6}!L1 ¸ {1 2 3 ...} {1,1.3,2.5,3.5,4.5,4.8}!L2 ¸ {1 1.3 2.5 ...} Logistic L1,L2 ¸ Done ShowStat ¸ Calculates the logistic regression and updates all the system statistics ... - Texas Instruments TI-89 | User Manual - Page 841

...,18;5,14,31;3,8,18]!m1 ¸ Calculates the Doolittle LU (lower-upper) decomposition ...which describes the row swaps done during the calculation) in pMatName. lMatName ù uMatName = pMatName ù matrix ...arithmetic. • If tol is omitted or not used, the default tolerance is calculated as: 5Eë 14 ù max(... - Texas Instruments TI-89 | User Manual - Page 842

...Returns the median of the elements in list1. median(matrix1) ⇒ matrix Returns a row vector containing the medians of the columns in matrix1. Note: All entries in the list or matrix must simplify to numbers. median([.2,0;1,ë.3;.4,ë.5]) ¸ [.4 ë.3] 842 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 843

...MATH/Statistics/Regressions menu MedMed list1, list2[, [list3] [, list4, list5]] In function graphing mode: {0,1,2,3,4,5,6}! L1 ¸ {0,2,3,4,3,4,6}! L2 ¸ MedMed L1,L2 ¸ ShowStat ¸ {0 1 2 ...} {0 2 3 ...} Done Calculates the median-median line and updates all the system statistics ... - Texas Instruments TI-89 | User Manual - Page 844

... matrix1, index1, index2) ⇒ matrix mRowAdd(ë 3,[1,2;3,4],1,2) ¸ Returns a copy of matrix1 with each element in row index2 of matrix1 replaced with: expression × row index1 + row index2 [0 1 2 L2] mRowAdd(n,[a,b;c,d],1,2) ¸ a b [aø n+c bø n+d] 844 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 845

...[, h]) ⇒ matrix nDeriv(cos(x),x,h) ¸ Returns the numerical derivative as an expression. Uses the central difference quotient formula. h is the step value. If h is omitted... Editor. NewData dataVar, matrix Creates data variable dataVar based on matrix. Appendix A: Functions and Instructions 845 - Texas Instruments TI-89 | User Manual - Page 846

...and then sets the current folder to that folder. After you execute this instruction, you are in the new folder. newList() CATALOG ⇒ list newList(numElements...limits for picVar. NewPic [1,1;2,2;3,3;4,4;5,5; 5,1;4,2;2,4;1,5],xpic ¸ RclPic xpic ¸ Done 846 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 847

...definition for plot number n. type specifies the type of the graph plot. 1 = scatter plot 2 = xyline plot ...let you begin a new problem from a cleared state without resetting the memory. • Clears all ...stat plots (FnOff and PlotsOff) in the current graphing mode. • Perfoms ClrDraw, ClrErr, ClrGraph,... - Texas Instruments TI-89 | User Manual - Page 848

..., you must use the 0b or 0h prefix, respectively. Without a prefix, the integer is treated as decimal (...-bit binary form, a symmetric modulo operation is used to bring the value into the appropriate range. ... arguments must be the same size list. {20 24 6} 848 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 849

... Note: If there are multiple solutions, you can use a guess to help find a particular solution. nSolve(x^2+5xì 25=9,x)|x - Texas Instruments TI-89 | User Manual - Page 850

..., you must use the 0b or 0h prefix, respectively. Without a prefix, integers are treated as decimal (...-bit binary form, a symmetric modulo operation is used to bring the value into the appropriate range. ...a program can use DispHome. Result after execution: 850 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 851

... If x has a numeric value and you press ¥ ¸, the numeric value of pù x is calculated, the result is added to 3, and then the cosine is calculated. cos() is the top-level operator because it is applied last. part(expression1) ⇒ number part(cos(pùx+3)) ¸ 1 ... - Texas Instruments TI-89 | User Manual - Page 852

...() and part() to partially implement symbolic differentiation. Studying and completing this function can help teach you how to differentiate manually. You could even include functions that the cannot differentiate, such as Bessel functions. ... - Texas Instruments TI-89 | User Manual - Page 853

... ¸ Done Done Turns off the specified plots for graphing. When in 2-graph mode, only affects the active graph. ...¸ 2-graph mode, only affects the active graph. If you do not include any arguments,...: 4Polar is a display-format instruction, not a conversion function. You can use it only at the end of ... - Texas Instruments TI-89 | User Manual - Page 854

..., an re iq entry causes an error in Degree angle mode. Note: You must use the parentheses for an (rq) polar entry. In Gradian angle mode: 4i 4Polar ¸ (4100) ... choice. itemList must contain at least one choice. PopUp {"1990","1991","1992"},var1 ¸ 854 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 855

.../Regressions menu PowerReg list1, list2[, [list3] [, list4, list5]] In function graphing mode: {1,2,3,4,5,6,7}! L1 ¸ {1 2 3 ...} {1,2,3,4,3,4,6}! L2 ¸ PowerReg L1,L2 ¸ ShowStat ¸ {1 2 3 ...} Done Calculates the power regression and updates all the system statistics variables. ... - Texas Instruments TI-89 | User Manual - Page 856

...through PtText show continuing similar examples. Displays the Graph screen and reverses the screen PtChg 2,4 ...y PtOff xList, yList PtOff 2,4 ¸ Displays the Graph screen and turns off the screen pixel ...y PtOn xList, yList PtOn 3,5 ¸ Displays the Graph screen and turns on the screen pixel nearest... - Texas Instruments TI-89 | User Manual - Page 857

... PtText string, x, y PtText "sample",3,5 ¸ Displays the Graph screen and places the character string string... PxlChg rowList, colList PxlChg 2,4 ¸ Displays the Graph screen and reverses the pixel at pixel ... row [, drawMode] PxlHorz 25,1 ¸ Displays the Graph screen and draws a horizontal line ... - Texas Instruments TI-89 | User Manual - Page 858

... ¸ PxlOff 25,50 ¸ Displays the Graph screen and turns off the pixel ... PxlOn 25,50 ¸ Displays the Graph screen and turns on the pixel at pixel ... text",20,10 ¸ Displays the Graph screen and places character string ... all drawn items. See also LineVert. 858 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 859

.... Otherwise, tol is ignored. • If you use ¥ ¸ or set the mode to Exact/Approx=.... • If tol is omitted or not used, the default tolerance is calculated as: 5Eë 14 ù max(..., list2[, [list3] [, list4, list5]] In function graphing mode: {0,1,2,3,4,5,6,7}! L1 ¸ {1 2 3 ...} {4,3,1,1,2,2,3,3}! L2 ¸ ... - Texas Instruments TI-89 | User Manual - Page 860

...Regressions menu QuartReg list1, list2[, [list3] [, list4, list5]] In function graphing mode: {ë 2,ë 1,0,1,2,3,4,5,6}! L1 ¸ {ë 2 ë 1 0 ...} {4,3,1,2,4,2,1,4,6}! L2 ¸ {4 3 1 ...} Done QuartReg L1,L2 ¸ ShowStat ¸ Calculates the quartic polynomial regression and updates the system statistics... - Texas Instruments TI-89 | User Manual - Page 861

R4Pq() MATH/Angle menu R4Pq (xExpression, yExpression) ⇒ expression R4Pq (xList, yList) ⇒ list R4Pq (xMatrix, yMatrix) ⇒ matrix In Degree angle mode: R8Pq(x,y) ¸ Returns the equivalent q-coordinate of the (x,y) pair arguments. Note: The result is returned as a degree, gradian or radian ... - Texas Instruments TI-89 | User Manual - Page 862

... ¸ Done Restores all the settings stored in the Graph database variable GDBvar. For a listing of the settings, ...CATALOG RclPic picVar [, row, column] Displays the Graph screen and adds the picture stored ... are treated as real variables. See also imag(). 862 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 863

... vector must be of dimension 2 or 3 and can be a row or a column. Note: 4Rect is a display-format instruction, not a conversion function. You can use it only at the end of an entry line, and it does not update ans. Note: See also 4Polar. complexValue ... - Texas Instruments TI-89 | User Manual - Page 864

... user to type in data. If it is a stand-alone instruction, it creates a dialog box for this input. In either ... choice. promptString must be { 20 characters. This instruction can be stand-alone or part of a dialog ... answer:EndFunc ¸ factoral(3) ¸ Done 6 864 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 865

... bit rotates to leftmost. Important: To enter a binary or hexadecimal number, always use the 0b or 0h prefix (zero, not the letter O). produces: ... If #of Rotations is negative, the rotation is to the right. The default is ë 1 (rotate right one element). Appendix A: Functions and Instructions 865 - Texas Instruments TI-89 | User Manual - Page 866

... ¸ 1.235 Returns the argument rounded to the specified number of digits after the decimal point. digits must be an integer in the range 0-12. If digits is ... elements must simplify to numbers. See also colNorm(). rowNorm([-5,6,-7;3,4,9;9,-9,-7]) ¸ 25 866 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 867

... 2 RplcPic CATALOG RplcPic picVar[, row][, column] Clears the Graph screen and places picture picVar at pixel ... floating-point arithmetic. • If tol is omitted or not used, the default tolerance is calculated as: 5Eë 14 ù max(dim(matrix1)) ù rowNorm(matrix1) 0 0 1 0 0 1 66/71 147 ... - Texas Instruments TI-89 | User Manual - Page 868

...on the Home screen or must execute GetCalc from a program. If you send from a TI-89, TI-92 Plus, or Voyage™ 200 to a TI-92, an error occurs if the TI-92 executes GetCalc from a program. In this case, the sending unit must use SendChat instead. 868 Appendix A: Functions ... - Texas Instruments TI-89 | User Manual - Page 869

... is not specified, or port = 0 is specified, the TI-89 Titanium sends data using the USB port if connected, if not, it will send using the I/O port. If port = 1, the TI-89 Titanium sends data using ... USB port only. If port = 2, the TI-89 Titanium sends data using the I/O port only. SendChat... - Texas Instruments TI-89 | User Manual - Page 870

...CATALOG ⇒ string setGraph(modeNameString, settingString) Sets the Graph mode modeNameString to settingString, and returns ...' ", "y1'-vs-y2' " 5 Tip: To type a prime symbol ( ' ), press 2 È. (not 3D graph..." set to "On." 2 Not available in 3D graph mode. 870 Appendix A: Functions and Instructions... - Texas Instruments TI-89 | User Manual - Page 871

3 4 5 Applies only to 3D graph mode. Applies only to Sequence graph mode. Applies only to Diff Equations graph mode. 6 Applies only to Function graphing mode, when "Graph Order" is set to "Seq." setMode() CATALOG ⇒ string setMode(modeNameString, settingString) ... - Texas Instruments TI-89 | User Manual - Page 872

... restore it later. modeNameString is a character string that specifies setTable("Graph Table","ON") ¸ "OFF" setTable("Independent","AUTO") ¸ ... spaces are optional when entering parameters. Parameter Name Settings "Graph Table" "Independent" "Off", "On" "Auto", "Ask" setTime() CATALOG... - Texas Instruments TI-89 | User Manual - Page 873

...in SI (metric) or ENG/US system, list1 uses the form: {"SI"} or {"ENG/US"} • To specify a custom set of default units, list1 uses the form: {"CUSTOM", "cat1", "unit1" [ , "cat2", "... previously saved with setUnits() ! var or with getUnits() ! var. Appendix A: Functions and Instructions 873 - Texas Instruments TI-89 | User Manual - Page 874

...Shade cos(x),sin(x) ¸ Displays the Graph screen, graphs expr1 and expr2, and ...Note: Interactive shading is available on the Graph screen through the Shade instruction. Automatic shading of a specific function is available through the Style instruction. Shade is not valid in 3D graphing mode. " Done... - Texas Instruments TI-89 | User Manual - Page 875

...they are still valid. Statistics results are cleared automatically if the data to compute them has changed. Use this instruction after a statistics calculation, such as LinReg. {1,2,3,4,5}! L1 ¸ {0,2,6,10,25}! L2 ¸ TwoVar L1,L2 ¸ ShowStat ¸ {1 2... - Texas Instruments TI-89 | User Manual - Page 876

... floating-point arithmetic. • If tol is omitted or not used, the default tolerance is calculated as: 5Eë 14 ù max(dim(coeffMatrix)) ù rowNorm(coeffMatrix) simult(coeffMatrix, ...2 In Radian angle mode: sin(p/4) ¸ sin(45¡) ¸ ‡2 2 ‡2 2 876 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 877

... Returns the matrix inverse sine of squareMatrix1. This is not the same as calculating the inverse sine of each element. For information about the ...Returns the matrix hyperbolic sine of squareMatrix1. This is not the same as calculating the hyperbolic sine of each element. For information about the ... - Texas Instruments TI-89 | User Manual - Page 878

... hyperbolic sine of squareMatrix1. This is not the same as calculating the inverse hyperbolic sine of each element.... [ , [iterations] , [ period] [, list3, list4] ] In function graphing mode: {1 31 61 ...} {5.5,8,11,13.5,... seq(x,x,1,361,30)!L1 ¸ Calculates the sinusoidal regression and updates all ... - Texas Instruments TI-89 | User Manual - Page 879

... designate an arbitrary integer. In real mode, fractional powers having odd denominators denote .... Otherwise, multiple branched expressions such as fractional powers, logarithms, and inverse trigonometric...-real number For example, x is valid and so is x=3. Appendix A: Functions and Instructions 879... - Texas Instruments TI-89 | User Manual - Page 880

...circle of radius r centered where the first circle crosses the positive x-axis. Use solve() to find the intersections. As illustrated by r in the example to the right, simultaneous...+1 e z +1 solve(e^(z)ùy=1 and ëy=sin(z),{y,z}) ¸ y=.041...and z=3.183... 880 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 881

Each solution variable starts at its guessed value if there is one; otherwise, it starts at 0.0. Use guesses to seek additional solutions one by one. For convergence, a guess may have to be rather close to a solution. solve(e^(z)ùy=1 and ëy=sin(z),{y,z=2p}) ¸ y=.001...and z=6.281... SortA MATH/... - Texas Instruments TI-89 | User Manual - Page 882

.... Each freqmatrix element counts the number of consecutive occurrences of the corresponding element in matrix1. Note: matrix1 must have at least two rows. stdDevPop([[1,2,5][-3,0,1][.5,.7,3]]) ¸ stdDevPop([L1.2,5.3;2.5,7.3;6,L4],[4, 2;3,3;1,7]) ¸ 882 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 883

... You can use RclGDB GDBvar to restore the graph environment. *Note: These items are saved for both graphs in 2-Graph mode. Stop Stop CATALOG Program segment: Used as a program instruction to stop program execution. © For i,1,10,1 If i=5... - Texas Instruments TI-89 | User Manual - Page 884

... graphing function equanum in the current graph mode to use the graphing property stylePropertyString. equanum must ..." and y10(x) to "Path". Note that in parametric graphing, only the xt half of the pair contains the style information. Valid style names vs. graphing mode: Function: Parametric/Polar:... - Texas Instruments TI-89 | User Manual - Page 885

.... If integer1 is omitted, switches windows and returns the previously active window number. integer1 is ignored if the TI-89 Titanium/Voyage™ 200 is not displaying a split screen. switch() ¸ T (transpose) MATH/Matrix menu ⇒ matrix matrix1î ... - Texas Instruments TI-89 | User Manual - Page 886

Table CATALOG Table expression1[, expression2] [, var1] In function graphing mode. Table 1.25xù cos(x) ¸ Builds a table of the... or functions. The expressions in the table can also be graphed. Expressions entered using the Table or Graph commands are assigned increasing function numbers starting ... - Texas Instruments TI-89 | User Manual - Page 887

... the matrix inverse tangent of squareMatrix1. This is not the same as calculating the inverse tangent of each element. For information about the ... the matrix hyperbolic tangent of squareMatrix1. This is not the same as calculating the hyperbolic tangent of each element. For information about the ... - Texas Instruments TI-89 | User Manual - Page 888

... the matrix inverse hyperbolic tangent of squareMatrix1. This is not the same as calculating the inverse hyperbolic tangent of each element. For information about the calculation method, refer to cos(). squareMatrix1 must be diagonalizable. The result In Radian angle mode and ... - Texas Instruments TI-89 | User Manual - Page 889

... block, promptString is displayed inside that dialog box. If used as a standalone instruction, Text creates a dialog box to display the string. Done Then timeCnv() See If, page...",Str1 "Month you were born", seq(string(i),i,1,12),Var1 Appendix A: Functions and Instructions 889 - Texas Instruments TI-89 | User Manual - Page 890

...to 212_¡F: 0 100 _¡C _¡F 32 212 To convert a temperature range, use @tmpCnv() instead. @tmpCnv() CATALOG @tmpCnv(expression1_¡tempUnit1, _¡tempUnit2) ⇒... 32 180_ ¡F 212 To convert a particular temperature value instead of a range, use tmpCnv(). 890 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 891

... program. Trace Trace CATALOG Draws a Smart Graph and places the trace cursor on the first ... Y= function at the previously defined cursor position, or at the reset position if regraphing was necessary. Allows ... :EndTry © Note: See ClrErr and PassErr. Appendix A: Functions and Instructions 891 - Texas Instruments TI-89 | User Manual - Page 892

... {0,2,3,4,3,4,6}! L2 ¸ TwoVar L1,L2 ¸ ShowStat ¸ {0 2 3 ...} Done Calculates the TwoVar statistics and updates all the system statistics variables. ...][, var3]... Unlocks the specified variables. Note: The variables can be locked using the Lock command. 892 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 893

... an expression defined only in the region where condition is true. Use an undef falseResult to define an expression that graphs only on an interval. when(x - Texas Instruments TI-89 | User Manual - Page 894

... helpful for defining recursive functions. when(n>0,nù factoral(nì 1),1) ! factoral(n) ¸ factoral(3) ¸ ... must use the 0b or 0h prefix, respectively. Without a prefix, integers are treated as decimal ... the value into the appropriate range. Note: See or. 894 Appendix A: Functions and Instructions... - Texas Instruments TI-89 | User Manual - Page 895

XorPic CATALOG XorPic picVar[, row] [, column] Displays the picture stored in picVar on the current Graph screen. Uses xor logic for each pixel. Only those pixel... you do NOT specify any initial guesses, zeros() uses the lexical Gröbner/Buchberger elimination method to attempt... - Texas Instruments TI-89 | User Manual - Page 896

...yìsin(z)}, {y,z}) ¸ [.041... 3.183...] [.001...In function graphing mode: 1.25xù cos(x)! y1(x) ¸ ZoomStd... ¸ 6.281...] ZoomBox CATALOG ZoomBox Displays the Graph screen, lets you draw a box ... after defining ZoomBox by pressing ¸ the second time. 896 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 897

... mode: 1.25xù cos(x)! y1(x) ¸ ZoomStd ¸ Done Adjusts the viewing window so that @x and @y = 0.1 and displays the Graph screen with the origin centered on the screen. " ZoomDec ¸ Appendix A: Functions and Instructions 897 - Texas Instruments TI-89 | User Manual - Page 898

...(x) ¸ ZoomStd ¸ Done Displays the Graph screen, and calculates the necessary window dimensions for ...the Zoom factors xFact and yFact. In 3D Graph mode, the magnitude is dependent on xFact, yFact, and zFact. ¸ ZoomInt CATALOG ZoomInt In function graphing mode: 1.25xù cos(x)! y1(x) ¸ ZoomStd... - Texas Instruments TI-89 | User Manual - Page 899

... cos(x)! y1(x) ¸ ZoomStd:ZoomOut ¸ Done Displays the Graph screen, lets you set a center point for a ... CATALOG ZoomRcl Displays the Graph screen, and updates the viewing window using the settings stored with the ZoomSto instruction. ZoomSqr CATALOG ZoomSqr In function graphing mode: 1.25xù... - Texas Instruments TI-89 | User Manual - Page 900

...: t: [0, 2p, p/24], x: [ë 10, 10, 1], y:[ë 10, 10, 1] Polar graphing: q: [0, 2p, p/24], x: [ë 10, 10, 1], y: [ë 10, 10, 1] Sequence ... the Zoom memory. You can use ZoomRcl to restore the settings. ZoomTrig CATALOG ZoomTrig In function graphing mode: 1.25xù cos(x)! y1(x) ¸ ZoomStd ¸ Done ... - Texas Instruments TI-89 | User Manual - Page 901

... + matrix1 matrix1 + expression ⇒ ⇒ matrix matrix 20+[1,2;3,4] ¸ Returns a matrix with expression added to each element on the diagonal of matrix1. matrix1 must be square. Note: Use .+ (dot plus) to add an expression to each element. [3 24] 21 2 ì (subtract) | key 6ì 2 ¸ pì p - Texas Instruments TI-89 | User Manual - Page 902

ù (multiply) p key 2ù 3.45 ¸ xù yù x ¸ {1.0,2,3}ù {4,5,6} ¸ {2 - Texas Instruments TI-89 | User Manual - Page 903

..., returns the elements in list1 raised to the power of the corresponding elements in list2. In the real domain, fractional powers that have reduced exponents with odd denominators use the real branch versus the principal branch for complex mode. ... - Texas Instruments TI-89 | User Manual - Page 904

...percent) CHAR/Punctuation menu expression1 % ⇒ expression list1 % ⇒ list matrix1 % ⇒ matrix 13% ¥ ¸ {1, 10, 100}% ¥ ¸ .13 {.01 .1 1.} Returns argument 100 . For a list or matrix, returns a list or matrix with each element divided by 100. 904 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 905

... list1 = list2 ⇒ Boolean list matrix1 = matrix2 ⇒ Boolean matrix Example function listing using math test symbols :g(x) :Func :If xë 5 : Return : ElseIf : ... matrices, returns comparisons element by element. Then 5 x>ë 5 and x - Texas Instruments TI-89 | User Manual - Page 906

... the factorial of the argument. For a list or matrix, returns a list or matrix of factorials of the elements. The TI-89 computes a numeric value for only nonnegative whole-number values. [6 24] 1 2 906 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 907

...² 3 3 xò 3 aø xò +c 3 ‰(1/(2ì cos(x)),x)! tmp(x) ¸ ClrGraph:Graph tmp(x):Graph 1/(2ì cos(x)):Graph ‡(3) (2tanê (‡(3)(tan(x/2)))/3) ¸ ‰() returns itself for pieces of expression1 that it cannot determine as an explicit finite combination of its built-... - Texas Instruments TI-89 | User Manual - Page 908

‡() (square root) 2 ] key ‡ (expression1) ⇒ expression ‡ (list1) ⇒ list ‡(4) ¸ ‡({9,a,4}) ¸ 2 {3 ‡a 2} Returns the square root of the argument. For a list, returns the square roots of all the elements in list1. - Texas Instruments TI-89 | User Manual - Page 909

... or program definition regardless of the mode that prevails when the function or program is used. {1 rectangular ( 3+1) ø 2 ë 1} 4 cylindrical spherical ¡ (degree) 2 " key ... on the Vector Format mode setting: rectangular, cylindrical, or spherical. Appendix A: Functions and Instructions 909 - Texas Instruments TI-89 | User Manual - Page 910

.... All unit names must begin with an underscore. You can use pre-defined units or create your own units. For a ...You can store a complex number to a variable without using _ . However, for best results in calculations such as cSolve() and cZeros(), the _ is recommended. 910 Appendix A: Functions and ... - Texas Instruments TI-89 | User Manual - Page 911

...,1]) ¸ Returns 10 raised to the power of squareMatrix1. This is not the same as calculating 10 raised to the power of each element. For information about the calculation method, refer to cos(). squareMatrix1 must be diagonalizable. The result 1.143...E7 9.956...E6 7.... - Texas Instruments TI-89 | User Manual - Page 912

...or matrix. Hint: If you plan to do symbolic computations using undefined variables, avoid storing anything into commonly used, one... ¦, to the end of the line, is the comment. © :¦ Get 10 points from the Graph screen :For i,1,10 ¦ This loops 10 times © 912 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 913

... must enter the 0b or 0h prefix regardless of the Base mode. Without a prefix, a number is treated as decimal (base 10). Results are displayed according to the Base mode. 0b10+0hF+10 ¸ 0b11011 In Hex base mode: 0b10+0hF+10 ¸ 0h1B Appendix A: Functions and Instructions 913 - Texas Instruments TI-89 | User Manual - Page 914

... B: Technical Reference This section contains a comprehensive list of TI-89 Titanium / Voyage™ 200 error messages and character codes. ... TI-89 Titanium / Voyage™ 200 operations are calculated. TI-89 Titanium / Voyage™ 200 Error Messages This section lists error messages that may be displayed ... - Texas Instruments TI-89 | User Manual - Page 915

... batteries before sending or receiving. Bound For the interactive graph math functions like 2:Zero, the lower ... 180 Break The ´ key was pressed during a long calculation or during program execution. 185 190 ... F6 Util menu provides operations that can be used to reduce the size of the data. Data type ... - Texas Instruments TI-89 | User Manual - Page 916

...Excessive iteration Expected 2 or 3-element list or matrix Flash application extension (function or program) not found Flash ...390 400 405 410 420 430 440 Graph functions y1(x)...y99(x) not available in..."Creating and Evaluating User-Defined Functions" in the Calculator Home Screen module. 917 320 330... - Texas Instruments TI-89 | User Manual - Page 917

...label Label names must follow the same rules used for naming variables. Invalid list or matrix For ... outside a program or a function. For example, Local cannot be used unless it is in a program or function. Invalid outside Loop... title. 600 605 Invalid table Invalid use of units 918 510 520 560 575... - Texas Instruments TI-89 | User Manual - Page 918

.....EndIf block Name is not a function or program No functions selected No solution found Using the interactive math features (F5:Math) in the Graph application can give this error. For example, if you attempt to find an inflection point of the... - Texas Instruments TI-89 | User Manual - Page 919

...path during execution. Rand type functions not allowed in 3D graphing Recursion is limited to 255 calls deep Reserved name or .... Too many subscripts Too many undefined variables Undefined variable Unlicensed OS or Flash application Variable in use so references or changes are not allowed Variable is ... - Texas Instruments TI-89 | User Manual - Page 920

...Domain of result may be larger Note: Domain of result may be smaller TI-89 Titanium / Voyage™ 200 Modes This section describes the modes of the TI-89 Titanium /Voyage™ 200 and lists the possible settings of each mode. These mode settings are displayed when you... - Texas Instruments TI-89 | User Manual - Page 921

... Calculator Home Screen. 1:main Default folder included with the TI-89 Titanium / Voyage™ 200. 2: - Other folders are available ...displayed-you can enter a number in any format. Internally, the TI-89 Titanium / Voyage™ 200 retains decimal numbers with 14 significant digits. For display purposes, ... - Texas Instruments TI-89 | User Manual - Page 922

...—10 3 Note: If you select NORMAL, but the answer cannot be displayed in the number of digits selected by Display Digits, the TI-89 Titanium / Voyage™ 200 displays the answer in SCIENTIFIC notation. If Display Digits = FLOAT, scientific notation will be ... - Texas Instruments TI-89 | User Manual - Page 923

... You must have different applications in each screen unless you are in 2-graph mode. Number of...Both parts can display an independent graph screen (Graph or Graph 2 setting) with independent settings....part. The available choices are the same as for Graph. Split Screen Ratio (Voyage 200 only) Specifies ... - Texas Instruments TI-89 | User Manual - Page 924

... fractional and symbolic expressions are calculated and displayed. By retaining rational and symbolic forms in the EXACT setting, the TI-89 Titanium / Voyage™ 200 increases precision by eliminating most numeric rounding errors. 1:AUTO Uses EXACT setting in ... - Texas Instruments TI-89 | User Manual - Page 925

... Unit System, 3:CUSTOM. Language Lets you localize the TI-89 Titanium / Voyage™ 200 into one of several languages, ... applications are installed. 1:English Default language included with the TI-89 Titanium / Voyage™ 200 operating system (OS). 2: - Alternate languages are available only if the (... - Texas Instruments TI-89 | User Manual - Page 926

TI-89 Titanium / Voyage™ 200 Character Codes The char() function lets you refer to any character by its numeric character code. For example, to display 2 on the ... 74. 75. & 76. 77. 78. 79. 80. 81. 82. 83. 84. 85. 86. 87. 88. 89. 90. 91. 92. 93. 94. 95. 96. 97. 98. 99. 100. 101. 102. 103. 104... - Texas Instruments TI-89 | User Manual - Page 927

TI-89 Titanium Key Codes The getKey() function returns a value that corresponds to the last key pressed, according to the tables shown in this section. For example, if your program contains a getKey() function, pressing 2 ˆ will return a value of 273. Table 1: Key Codes for Primary Keys Key None ... - Texas Instruments TI-89 | User Manual - Page 928

Table 1: Key Codes for Primary Keys Key None Assoc. Value Assoc. 13 258 61 149 173 46 48 49 50 51 52 53 54 55 56 57 CR P A K SPACE W V Q R S3 L M N G H I Modifier Û¤ Value Assoc. 13 80 65 75 32 87 86 81 50 83 76 77 78 71 72 73 2 Value Assoc. 4109 4354 39 159 4372 62 60 34 92 4147 58 4149 4150 ... - Texas Instruments TI-89 | User Manual - Page 929

Table 2: Arrow Keys (including diagonal movement) Key C B D A C and A C and B D and A D and B Normal 338 340 344 337 339 342 345 348 ¤ 16722 16724 16728 16721 16723 16726 16729 16732 2 4434 4436 4440 4433 4435 4438 4441 4444 ¥ 8530 8532 8536 8529 8531 8534 8537 8540 j 33106 33108 33112 33105 ... - Texas Instruments TI-89 | User Manual - Page 930

Table 1: Key Codes for Primary Keys Key None Assoc. Value 268 269 270 271 272 273 274 275 266 263 262 264 265 13 259 260 261 94 40 41 44 47 42 45 43 258 32 = BS 61 257 = BS Assoc. F1 F2 F3 F4 F5 F6 F7 F8 MODE CLEAR LN ESC APPS CR SIN COS TAN ^ ( ) , / * + STO4 Modifier ¤ Value 268 269 270 271 ... - Texas Instruments TI-89 | User Manual - Page 931

... 8238 8240 8241 8242 8243 8244 8245 8246 8247 8248 8249 8257 39 COPY 176 WINDOW 159 FORMAT 8258 8259 8260 8261 8262 8263 38 151 190 124 34 59 NEW OPEN 95 63 64 UNITS CALC HOME GRAPH KEY 8264 8265 8266 8267 8268 8269 8270 8271 8272 8273 8274 Ï · ¶ µ ¨ © ª y z { m n o A B C D E F G H I J K L M... - Texas Instruments TI-89 | User Manual - Page 932

Key None Assoc. S T U V W X Y Z s t u v w x y z Value 115 116 117 118 119 120 121 122 Assoc. S T U V W X Y Z Modifier ¤ Value 83 84 85 86 87 88 89 90 Assoc. β # Table 9 - Texas Instruments TI-89 | User Manual - Page 933

Table 2: Arrow Keys (including diagonal movement) Key C B D A C and A C and B D and A D and B Normal 338 340 344 337 339 342 345 348 ¤ 16722 16724 16728 16721 16723 16726 16729 16732 2 4434 4436 4440 4433 4435 4438 4441 4444 ¥ 8530 8532 8536 8529 8531 8534 8537 8540 , 33106 33108 33112 ... - Texas Instruments TI-89 | User Manual - Page 934

Table 5: Acute Accent Letters (prefixed by 2 E) Key A E I O U Y Assoc Normal 225 233 237 243 250 253 Û¤ 193 201 205 211 218 221 Table 6: Greek Letters (prefixed by 2 G) Key A B D E F G L M P R S T W X Y Z Assoc Normal 128 129 133 134 145 131 137 181 140 141 143 144 148 138 146 135 147 142 139... - Texas Instruments TI-89 | User Manual - Page 935

Table 7: Tilde Letters (prefixed by 2 N) Key N O Assoc. ñ õ Normal 241 245 Û¤ 209 Table 8: Caret Letters (prefixed by 2 O) Key A E I O U Assoc Normal 226 234 238 244 251 ¤ 194 202 206 212 219 Table 9: Umlaut Letters (prefixed by 2 U) Key A E I O U Y Assoc Normal 228 235 239 246 252 255 ... - Texas Instruments TI-89 | User Manual - Page 936

... angle mode, this form causes a Domain error.) Radian, Degree or Gradian (r,ùq) Use the following methods to enter a complex number. To enter the: Rectangular form a+bi Do this: Substitute the applicable values or variable names for a and b. a «Ç b 2 ) Note: To get the i ... - Texas Instruments TI-89 | User Manual - Page 937

Polar form rei q or (r,ùq) Parentheses are required for the (r - Texas Instruments TI-89 | User Manual - Page 938

...to set up a complex variable. Method 1: Use an underscore _ (TI-89 Titanium: ¥ , Voyage™ 200 2 ) as the last character in ...Radian angle mode is recommended for complex number calculations. Internally, the TI-89 Titanium / Voyage™ 200 converts all entered trig values to radians, but it does... - Texas Instruments TI-89 | User Manual - Page 939

Accuracy Information To maximize accuracy, the TI-89 Titanium / Voyage™ 200 carries more digits internally than it ... lists the names of system variables and reserved function names that are used by the TI-89 Titanium / Voyage™ 200. Only those system variables and reserved function names that are ... - Texas Instruments TI-89 | User Manual - Page 940

Graph y1(x)-y99(x)* xt1(t)-xt99(t)* ui1-ui99* tc xfact xmax ymax @x zscl ncontour tmin tplot Estep nmax y1'(t)-y99'(t)* ...(q)* u1(n)-u99(n)* zc nc xmin ymin xres zmax eyeψ qstep t0 dtime nmin sysMath Graph Zoom zxmin zymin zxres ztmin ztmaxde zzmax zeyeψ zpltstep zxmax zymax zqmin ztmax ztstepde ... - Texas Instruments TI-89 | User Manual - Page 941

... exp* EOS (Equation Operating System) Hierarchy This section describes the Equation Operating System (EOSé) that is used by the TI-89 Titanium / Voyage™ 200. Numbers, variables, and functions are entered in a simple, straightforward sequence. EOS evaluates... - Texas Instruments TI-89 | User Manual - Page 942

... error message is displayed that indicates the missing element. For example, (1+2)/(3+4 will display the error message "Missing )." Note: Because the TI-89 Titanium / Voyage™ 200 allows you to define your own functions, a variable name followed by an expression ... - Texas Instruments TI-89 | User Manual - Page 943

Regression Formulas This section describes how the statistical regressions are calculated. Least-Squares Algorithm Most of the regressions use non-linear recursive least-squares techniques to optimize the following cost function, which is the sum of the ... - Texas Instruments TI-89 | User Manual - Page 944

... fit the model equation: y=a/(1+b*e^(c*x))+d MedMed Uses the median-median line (resistant line) technique to calculate summary points x1, y1, x2, y2, x3...(x) and ln(y) to fit the model equation: y=ax b QuadReg Uses the least-squares algorithm to fit the secondorder polynomial: y=... - Texas Instruments TI-89 | User Manual - Page 945

...the grid is treated similarly. Runge-Kutta Method For Runge-Kutta integrations of ordinary differential equations, the TI-89 Titanium / Voyage™ 200 uses the Bogacki-Shampine 3(2) formula as found in the journal Applied Math Letters, 2 (1989), pp. ... - Texas Instruments TI-89 | User Manual - Page 946

... be done, refer to Numerical Solution of Ordinary Differential Equations by L. F. Shampine (New York: Chapman & Hall, 1994). The TI-89 Titanium / Voyage™ 200 software does not adjust the step size to land on particular output points. Rather, ... - Texas Instruments TI-89 | User Manual - Page 947

Battery Information The TI-89 Titanium / Voyage™ 200 uses two types of batteries: four ...: To avoid loss of information stored in memory, the TI-89 Titanium / Voyage 200 must be off. Do not remove the alkaline batteries and the ... of children. Do not mix new and used batteries. Do not mix brands (or ... - Texas Instruments TI-89 | User Manual - Page 948

Replacing the Alkaline Batteries in the TI-89 Titanium 1. If the TI-89 Titanium is on, turn it off (press 2 ®) to avoid loss of information stored in memory. 2. Slide the ... latch snaps closed. Replacing the Lithium Battery in the TI-89 Titanium To replace the lithium backup battery, remove ... - Texas Instruments TI-89 | User Manual - Page 949

Replacing the Lithium Battery in the Voyage 200 To replace the lithium backup battery, remove the battery cover. Insert a blunt object into the circular indentation next to the battery. Gently place a finger on the lithium battery and pry the battery out. Slide in a new CR1616 or CR1620 battery, ... - Texas Instruments TI-89 | User Manual - Page 950

...Difficulty If you have difficulty operating the TI-89 Titanium / Voyage™ 200, the following suggestions may ... graph or program is paused and the TI-89 Titanium / Voyage 200 is waiting for input; press ¸... they are fresh. An error message is displayed. The TI-89 Titanium / Voyage 200 does not appear... - Texas Instruments TI-89 | User Manual - Page 951

If: The TI-89 Titanium appears to be "locked up" and will not respond to keyboard input. Suggested action: The following action clears RAM. This erases all data, programs, and user-defined variables, functions, or folders. Press and hold A, B, and 2. Then press and release ´. The ... - Texas Instruments TI-89 | User Manual - Page 952

.... The following examples show how to substitute digits in the setMode( ) function. Example 1: A program using alpha parameter/mode strings: setMode("Graph","Sequence") Example 2: The same program, substituting digits for those strings: setMode("1","4") ... - Texas Instruments TI-89 | User Manual - Page 953

setMode( ) and getMode( ) Parameter/Mode Setting ALL Strings 0 Graph FUNCTION PARAMETRIC POLAR SEQUENCE 3D DIFF EQUATIONS 1 1 2 3 4 5 6 DisplayDigits FIX 0 FIX 1 FIX 2 FIX 3 FIX 4 FIX 5 FIX 6 FIX 7 FIX 8 2 1 2 3 4 5 6 7 8 9 Appendix C: Programmer's Guide 956 - Texas Instruments TI-89 | User Manual - Page 954

Parameter/Mode Setting FIX 9 FIX 10 FIX 11 FIX 12 FLOAT FLOAT 1 FLOAT 2 FLOAT 3 FLOAT 4 FLOAT 5 FLOAT 6 FLOAT 7 FLOAT 8 FLOAT 9 FLOAT 10 FLOAT 11 FLOAT 12 Angle RADIAN Strings 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 1 Appendix C: Programmer's Guide 957 - Texas Instruments TI-89 | User Manual - Page 955

Parameter/Mode Setting DEGREE GRADIAN Exponential Format NORMAL SCIENTIFIC ENGINEERING Complex Format REAL RECTANGULAR POLAR Vector Format RECTANGULAR CYLINDRICAL SPHERICAL Pretty Print OFF ON SplitScreen FULL Strings 2 3 4 1 2 3 5 1 2 3 6 1 2 3 7 1 2 8 1 Appendix C: Programmer's Guide 958 - Texas Instruments TI-89 | User Manual - Page 956

... (applications are not numbered) Split2App (applications are not numbered) Number of Graphs 1 2 Parameter/Mode Setting Graph 2 FUNCTION PARAMETRIC POLAR SEQUENCE 3D DIFF_EQUATIONS Split Screen Ratio 1:1 1:2 Appendix C: Programmer's Guide Strings 2 3 9 10 11 1 2 Strings 12 1 2 3 4 5 ... - Texas Instruments TI-89 | User Manual - Page 957

Parameter/Mode Setting 2:1 Exact/Approx AUTO EXACT APPROXIMATE Base DEC HEX BIN Strings 3 14 1 2 3 15 1 2 3 Appendix C: Programmer's Guide 960 - Texas Instruments TI-89 | User Manual - Page 958

setGraph( ) Parameter/Mode Setting Coordinates RECT POLAR OFF Graph Order SEQ SIMUL Strings 1 1 2 3 2 1 2 Grid OFF ON Axes 3 1 2 4 In 3D Mode: OFF AXES BOX 1 2 3 Not in 3D Mode: OFF 1 Appendix C: Programmer's Guide 961 - Texas Instruments TI-89 | User Manual - Page 959

ON 2 5 1 2 6 1 1 7 1 2 3 8 1 2 9 1 2 3 10 1 Leading Cursor OFF ON Labels OFF ON Seq Axes TIME WEB Custom Solution Method RK EULER Fields SLPFLD DIRFLD FLDOFF DE Axes TIME Appendix C: Programmer's Guide 962 - Texas Instruments TI-89 | User Manual - Page 960

Y1-VS-Y2 T-VS-Y' Y-VS-Y' Y1-VS-Y2' Y1'-VS-Y2' 2 3 4 5 6 11 1 2 3 4 5 XR Style WIRE FRAME HIDDEN SRUFACE CONTOUR LEVELS WIRE AND CONTOUR IMPLICIT PLOT Appendix C: Programmer's Guide 963 - Texas Instruments TI-89 | User Manual - Page 961

setTable( ) Parameter/Mode Setting Graph Table OFF ON Independent AUTO ASK Strings 1 1 2 2 1 2 4 Axes 964 - Texas Instruments TI-89 | User Manual - Page 962

Appendix D: Service and Warranty Information Texas Instruments Support and Service For general information Home Page: education.ti.com education.ti.com KnowledgeBase and e-mail inquires: education.ti.com/support education.ti.com/support Phone: (800) TI-... - Texas Instruments TI-89 | User Manual - Page 963

... your local Texas Instruments retailer/distributor. Texas Instruments (TI) Warranty Information ... Warranty for Commercial Electronic Product This Texas Instruments ("TI") electronic product warranty extends ...-YEAR PERIOD. TEXAS INSTRUMENTS SHALL NOT BE LIABLE FOR LOSS OF USE OF THE PRODUCT OR OTHER ... - Texas Instruments TI-89 | User Manual - Page 964

... will be either repaired or replaced with a reconditioned model of an equivalent quality (at TI's option) when the product is returned, postage prepaid, to Texas Instruments Service Facility. The warranty of the repaired or replacement unit ... - Texas Instruments TI-89 | User Manual - Page 965

...the original purchaser and user of the product. Warranty Duration. This Texas Instruments electronic product is warranted to the original purchaser for ..., are limited in duration to the above one-year period. Texas Instruments shall not be liable for loss of use of the product or other incidental or ... - Texas Instruments TI-89 | User Manual - Page 966

... to the warranty statement enclosed with this product, or contact your local Texas Instruments retailer/distributor. Battery Precautions Take these precautions when replacing batteries Do not leave ... reach of children. Do not mix new and used batteries. Do not mix brands (or types ... - Texas Instruments TI-89 | User Manual - Page 967

TI-89 Titanium Shortcut Keys General ¥O List of Flash applications Toggle between last two chosen applications or split screens Lighten or darken contrast Calculate approximate answer Move cursor to top or bottom (in editors) Scroll tall objects in history Highlight left or right from cursor (in ... - Texas Instruments TI-89 | User Manual - Page 968

... between last two chosen applications or split screens Copy graph coordinates to sysdata Move cursor ...Copy Paste ¥1-¥6 Display FORMATS dialog box Copy graph coordinates to Home screen history Create new... along axis Return to original view Change graph format style Expanded/normal view Accent... - Texas Instruments TI-89 | User Manual - Page 969

Keystroke Differences There are certain differences in keystrokes using the TI-89 Titanium / Voyage™ 200 for various operations. The following table shows the keystrokes for major commands for the two calculators. FUNCTION LETTERS @ TI-89 Titanium H Voyage 200 One lowercase ... - Texas Instruments TI-89 | User Manual - Page 970

θ (Theta) | ("With") ' (Prime) ° (Degree) - Texas Instruments TI-89 | User Manual - Page 971

...80, 240, 242, 243, 247, 266, ...267, 908 (*, multiply ...903 (*f(x)dx (graph math tool) ...331, 334 (+, add ...901 (,-- (function keys) moving among toolbar menus ...55 selecting categories ...28, 31 selecting menus ...49 uses ...14 (-, degree notation ...764, 910, 911 (-, negate ...905 (-, ... - Texas Instruments TI-89 | User Manual - Page 972

... ...10 key command ...17 selecting characters ...10 (2 K calculator Home screen ...24 entering commands ...22 ...mode ...64 key command ...17 turning off the calculator ...7 (4, convert ...283, 912 (4Bin, display as ... ...28 selecting entry/answer pairs ...26 using the CHAR menu ...10 (M, negate ...156 ( - Texas Instruments TI-89 | User Manual - Page 973

... 3D (three-dimensional) mode ...38 3D graphing ...375-409 animation ...101, 391 ... Down) feature during calculation or program ...8 turning on after ...8 append, & ...602, 908 APPLICATIONS menu ... 241 approximate, approx( ) ...256 Apps (calculator software applications) deleting ...67 icon highlighted, ... - Texas Instruments TI-89 | User Manual - Page 974

... ...37 turning off ...39 turning off the calculator ...7 arbitrary integer, @ ...276, 277 Arc (graph math tool) 331, 337, 346, 353 arc length, arcLen... rate of change ...790 axes (sequence), CUSTOM ...363 Axes graph format ...316, 415, 434, 435 Axes settings ...386, 394... - Texas Instruments TI-89 | User Manual - Page 975

... ...65, 67, 716, 733, 737 Calc menu ...265 calculator Home screen 2 K ...17 changing entry/answer pairs ...27 ... menus ...49 turning off the calculator ...7 calculator software applications (Apps) 7 icons ...5 Calculator-Based Laboratory system connecting ...68 Calculator-Based Laboratory. See CBL ... - Texas Instruments TI-89 | User Manual - Page 976

get/return, Get ...825 programs ...633 send list variable, Send ...869 statistical data ...568, 569 CBR system connecting ...68 programs ...761 ceiling( ), ceiling ...791 ceiling, ceiling( ) ...749 certificate 724, 731, 732, 733, 734, 735, 736 Certificate revision (Cert. Rev.) ...234 cFactor( ), ... - Texas Instruments TI-89 | User Manual - Page 977

colNorm( ), matrix column norm ...794 combinations, nCr( ) ...846 comDenom( ), common denominator 795 command mark ...661 command scripts ...210, 661, 664 activity ...752 commands Flash Apps ...21 Key ...10, 12 comment, | ...581, 913 common denominator, comDenom( ) 256, ...257, 264 complex factor, ... - Texas Instruments TI-89 | User Manual - Page 978

csch/( ),inverse hyperbolic cosecant 800 cSolve( ), complex solve ...240, 800 cSolve( - Texas Instruments TI-89 | User Manual - Page 979

...524 data/matrix editor ...469 data4mat( ) ...806 date reset ...48 setting ...40 dayOfWk( ), day of week ..., 267 numeric derivative, nDeriv( ) 266, 846 Derivatives (graph math tool) . 331, 334, 346, ...353... 444 FLDOFF, field off ...415, 424, 451 graphing ...410-452 initial conditions ...421 second order... - Texas Instruments TI-89 | User Manual - Page 980

...582, 620, 636, ...812 DispG, display graph ...620, 627, 812 DispHome, display Home screen ...620, 812 display graph, DispG ...620, 627, 812 Home... DispTbl, display table ...812 Distance (graph math tool) 331, 335, 346... ...631, 836 lines ...492, 494 on a graph ...629 parametric, DrawParm 487, 632... - Texas Instruments TI-89 | User Manual - Page 981

...26 entry( ), entry ...817 entry, entry( ) ...219 entry/answer pairs ...27 status ...39 EOS (Equation Operating System) . . 943 equal, = ...604, 906 Equation Operating System (EOS) . . 943 equations, solving ...666, 670, 674, 675 error conditions after APD ...8 errors and troubleshooting ...952 11 - Texas Instruments TI-89 | User Manual - Page 982

... using the CHAR menu ...11 using the keyboard map ...12, 13 examples, previews, activities 3D graphing ...101, 750 additional graphing topics ...110 ... Fibonacci sequence ...373 finding roots ...75 function graphing ...86, 89 graphing functions ...87 implicit derivatives ...79 ... - Texas Instruments TI-89 | User Manual - Page 983

parametric graphing ...94, 764 path of a ball ...94 polar rose ...96 pole-corner problem ...741 population ...119 predator-prey model ...371, 435... ...775 second-order differential equation . . 427, ...444 sequence graphing ...98 solving inequalities ...78 solving linear equations ...77... - Texas Instruments TI-89 | User Manual - Page 984

..., fldpic ...419 Fill, matrix fill ...821 Flash applications . . 181, 195, 273, 689, 690, ...693 deleting ...724 FLASH APPLICATIONS (8 O) accessing Apps not listed ...59 description ...50 key ......395, 397, 657 fpart( ), function part ...824 fractions ...256, 264, 755, 857 free-moving cursor ... - Texas Instruments TI-89 | User Manual - Page 985

... ...28, 31 selecting menus ...49 functions ...21, 159 delayed simplification ...247 graphing ...302 maximum, fMax( ) ...240, 266, 822 minimum, fMin( ) ...240, ...value 568, 634 Get, get/return CBL2/CBR value ...825 get/return G calculator, GetCalc . . 634, 727, 728, 825 CBL/CBR value, Get ...568, 634... - Texas Instruments TI-89 | User Manual - Page 986

...Gradian angle mode ...81 gradian,G ...910 graph mode ...18, 38 number mode ...graph format ...316, 414 Graph, graph ...830 graph, Graph ...309, 473, 480,...graphs number of ...62, 64 graphs and graphing *f(x)dx ...331, 334 3D ...375... on, FnOn ...627, 823 graph databases ...503 graph, Graph ...473, 628, 830... - Texas Instruments TI-89 | User Manual - Page 987

... programs ...627 QuickCenter ...324 recall graph database, RclGDB . 629, 863 selecting ... shading, Shade ...632, 875 simultaneous graphs ...481 split screen ...482, 485,..., 351, 359, ...379 Y= editor 86, 89, 305, 343, 349, 356, 377... characters ...10, 657, 658 Grid graph format ...316 H Hand modifier key... - Texas Instruments TI-89 | User Manual - Page 988

...24 Home screen ...205 Home screen. See calculator home screen hyperbolic arccosine cosh/( )... 944 inequalities ...78 infinity, ∞ ...277 Inflection (graph math tool) ...331, 335 initial conditions... 908 international/accented characters ...10 Intersection (graph math tool) . . 331, 333 inverse cosecant... - Texas Instruments TI-89 | User Manual - Page 989

... ...656, 657 keys function ...14 label, Lbl ...593, 609, 616 Labels graph format ...316 Language mode ...189, 926 language mode changing mode setting ...19..., 218 Lbl, label ...834 lcm, least common multiple ...835 Leading Cursor graph format ...316 least common multiple, lcm ...835 left( ), left ...... - Texas Instruments TI-89 | User Manual - Page 990

... table ...740 linking and transmitting ...869, 870 calculator to calculator 633, 716, 718, ...719, 721, ... ...724 errors ...724, 734, 735 Flash applications ...719, 720, 721, 726, ...727 folders ...... send list variable, Send ...635, 869 send to calculator, SendCalc ...634, 727, ...728 variables ...719,... - Texas Instruments TI-89 | User Manual - Page 991

..., colNorm( ) ...794 copying ...537 cumulative sum, cumSum( ) ...803 data from a graph ...469 determinant, det( ) ...810 diagonal, diag( ) ...811 dimension, dim...T ...886 matrix to list, mat4list( ) ...843 max( ), maximum ...843 Maximum (graph math tool) ...331, 333 mean( ), mean ...843 measurement 21 - Texas Instruments TI-89 | User Manual - Page 992

..., Item ...622, 624, 834 Menus APPLICATIONS (O) ...50, 58 menus ...175 Algebra ...52 toolbar ...175, 230 Trig ...257 using ...175 messages BATT ...204, 949... messages See also errors and troubleshooting mid( ), mid-string ...844 mid...( ) ...602 min( ), minimum ...845 Minimum (graph math tool) . 87, 331, 333... - Texas Instruments TI-89 | User Manual - Page 993

... get/return, getMode( ) ...617, 827 GRAD (gradian) ...38 Graph 187, 203, 304, 342, 349, 356, 377, ...412 graph ...18 Graph 2 ...188, 925 graph number ...38 graph type ...38...16 Language ...189, 926 language ...18, 19 Number of Graphs ...188, 925 overwrite (2 /) ...16 PAR (parametric) ...... - Texas Instruments TI-89 | User Manual - Page 994

..., new plot ...556, 628, 847 NewProb, new problem ...190, 848 nInt( ), numeric integral ...266, ... ...684 conversions ...681 math operations ...682 Number of Graphs mode ...188, 925 numbers irrational ...240, ... 670, 674, 675 equations ...666, 668, 669 graphing ...675, 676, 677, 678 split screens ...676... - Texas Instruments TI-89 | User Manual - Page 995

...statistic ...850 operating system ...733, 734, 735 operating system (OS) downloading ...69 Operating System (OS) version ...234 operating system, upgrading ... ...323 PAR (parametric) mode ...38 parallelepiped activity ...750 parametric graphing ...347 parentheses, brackets, and braces . 160, 943 part(... - Texas Instruments TI-89 | User Manual - Page 996

... (polar) mode ...38 polar coordinate, R4Pq( ) ...862 coordinate, R4Pr( ) ...862 graphing ...340 vector display, 4Polar ...855 polyEval( ), evaluate polynomial ...855 ... number test, isPrime( ) ...834 prime numbers ...75 prime, ' ...911 problems (new), NewProb ...190, 848 product ID ...233 Product ID (... - Texas Instruments TI-89 | User Manual - Page 997

......621, 892 define, Define ...591, 627, 742, 808 deleting ...579 display graph, DispG . 620, 627, 812 display Home screen, DispHome ...620, ...812 ... ) . 617, ...825 get/return folder, getFold( ) . 617, 826 get/return from calculator, GetCalc . . 634, ...727, 728, 825 get/return key, getKey( ) ...619,... - Texas Instruments TI-89 | User Manual - Page 998

... while, While ...613, 895 Prompt( ), prompt ...619, 857 prompt, Prompt( ) ...619 proper fraction, propFrac . 256, 264, 755 propFrac, proper fraction .256, 264, 755, 857 PtChg, point change ...631, 857 PtOff, point off ...631, 857 PtOn, point on ... - Texas Instruments TI-89 | User Manual - Page 999

... RandSeed, random number seed . . 747, 863 rational functions activity ...755 RclGDB, recall graph database 505, 629, 863 RclPic, recall picture ...629, 863 real( ), real ...863 recall graph database, RclGDB . .505, 629, 863 picture, RclPic ...629, 863 Recall (2 6) ...... - Texas Instruments TI-89 | User Manual - Page 1000

... (sequence) mode ...38 seq( ), sequence ...870 sequence graphing ...354-374 serial number ...233 set folder, setFold( ) ...617, 871 graph, setGraph( ) ...617, 628 mode, setMode( ) ......( ), set folder ...617, 871 setGraph( ), set graph ...617, 628, 871 setMode( ), set mode ...617,... - Texas Instruments TI-89 | User Manual - Page 1001

..., 946 slope field, SLPFLD ...415, 423, 448 SLPFLD, slope field ...415, 423, 448 Smart Graph ...318 SocialSt (social studies) category ...31 software version ...233 Solution Method graph format ...414 solution, deSolve( ) ...266, 444, 809 solve( ), ... - Texas Instruments TI-89 | User Manual - Page 1002

... ...27 stdDev( ), standard deviation ...883 stdDevPop ...883 StoGDB, store graph database 505, 629, 884 Stop, stop ...884 stop, Stop ...579 StoPic, store picture ...629, 884 stopping a calculation ...165 Store (9) key ...17 storing graph database, StoGDB . . 629, 884 picture, StoPic ...629, 884 symbol,... - Texas Instruments TI-89 | User Manual - Page 1003

...summation ...866, 885 sum, )( ) ...266, 909 support and service ...965 switch( ), switch ...886 switch,... ...455 Table, build table ...887 table-graph, GraphTable ...456 tables @tbl ...456..., 812 functions ...463 generating with sequence ...373 graphing, GraphTable ...456 incrementing, @tbl ...456... - Texas Instruments TI-89 | User Manual - Page 1004

... ...104, 395 WIRE AND CONTOUR ...104, 395 WIRE FRAME ...104, 395 TI Connectivity ... 737 TI ViewScreen overhead panel connecting ...68 TI Connect software ...65, 733 time reset ... time plots ...357, 434, 435 timeCnv( ), convert time ...890 TI-Presenter video adapter connecting ...68 Title, title ...890 ... - Texas Instruments TI-89 | User Manual - Page 1005

...287 get/return, getUnits( ) ...829 measurement ...279 modes ...189, 926 setting, setUnits( ) ...617, 874 user-defined ...290 unit-to-unit cable ...70 connecting ...68 unitV( ), unit vector ...893 Unlock, unlock ...893 unlock, Unlock ...597 upgrading operating system (OS) . . 731, 732, ...733 user-... - Texas Instruments TI-89 | User Manual - Page 1006

Value (graph math tool) . .331, 332, 353, 382, ...420 variables ...39, 197, 199 archiving and unarchiving . 707, 708 archiving, ... ...247 delete, DelVar . 238, 270, 596, 600, 809 deleting ...724 DelType 705 in applications ...705, 706 local, Local . 589, 594, 596, 597, 839 locking, Lock ...597 locking... - Texas Instruments TI-89 | User Manual - Page 1007

...352, 359, 417 zmax ...379 zmin ...379 wire-and-contour graphing ...104, 395 wire-frame graphing ...104, 395 with, | ...80, 83, 239, 249, 913, 944 within string, inString( ) ...602... 359, 417, ...941 xyline plots ...555 Y= editor 86, 89, 305, 343, 349, 356, 377, ...412, 471 ygrid... - Texas Instruments TI-89 | User Manual - Page 1008

...window variable 314, 344, 352, 359, 417 Zero (graph math tool) ...331, zeroes activity ...zeroes, ... box, ZoomBox ...325, 327, data, ZoomData ...326, decimal, ZoomDec ...325, factors ...326, fit, ZoomFit ... ...897 ZoomData, zoom data ...898 ZoomDec, zoom decimal ...898 ZoomFit, zoom fit ...899 ZoomIn, ...

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