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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

...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

... 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 ... - 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....R -L IN K CHAR The Apps desktop The Apps desktop is the starting point for operating your TI-89 Titanium. Your installed Apps appear on the Apps ... - Texas Instruments TI-89 | User Manual - Page 6

... the 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 ... - Texas Instruments TI-89 | User Manual - Page 7

... either of the following keys to turn off the TI-89 Titanium. Press: Description 2 ® (press 2 Settings ... message is displayed. When you turn the TI-89 Titanium on again, it displays either the Home ... message is displayed. • When you turn the TI-89 Titanium on again, it will be exactly as you left ... - Texas Instruments TI-89 | User Manual - Page 8

Note: ® is the second function of the ´ key. The calculator's Automatic Power Down™ (APD™) feature prolongs battery life by turning ... before APD. All settings and memory contents are retained. Note: 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 operation. Keys Description Accesses Apps, menu options, and other operations. Second functions are printed above their corresponding keys in the same color as the 2 key. Accesses Apps, menu options, and other operations. Diamond functions are printed above their ... - Texas Instruments TI-89 | User Manual - Page 14

... [All] screen, where you can manage variables and Apps. Press Result 2° Function keys Use the function keys to perform ...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. Within Apps, open toolbar ... - Texas Instruments TI-89 | User Manual - Page 15

.... 3. Type the exponent as an integer 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 Displays the Y= ... - Texas Instruments TI-89 | User Manual - Page 16

... Command Description Displays the Window Editor. Displays the Graph screen. Sets parameters for the Table screen....cut, copy, or paste operation. Displays the Apps desktop. With the Apps desktop off, displays the FLASH ...menu. Switches between the last two chosen Apps. Turns the custom menu on and off.... - 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 are listed ... 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... a time. Press Result ½C 2D Then press D until the pointer is at the comDenom( function. ¸ The status line displays any required and optional parameters for the... - Texas Instruments TI-89 | User Manual - Page 24

...selecting a command, press N. Calculator Home screen The calculator Home screen is the starting point for math operations, including executing instructions, evaluating expressions, and viewing results. To display the calculator Home screen, press: " You can ... - 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

...the screen. Recall or auto-paste a previous entry or answer onto the entry line to reuse or edit. (For more information, see the electronic Operating the Calculator chapter.) The cursor, which normally rests on the entry line, can be moved into the history area. The following table shows you how to... - Texas Instruments TI-89 | User Manual - Page 27

...currently saved 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 ... To clear the history area and delete all saved pairs: • From the calculator Home screen, press ƒ and select 8:Clear Home. - or... - Texas Instruments TI-89 | User Manual - Page 28

... screen 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

...In split-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 ... - 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 ... highlighted numeral indicates the split-screen portion where the next App you open will appear. Note: ...Split-screen status (highlight indicates the portion where the next App selected will open.) Names of open ... - 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

... a 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 ... the MODE dialog box. If you do, open Apps from the APPLICATIONS menu. To open the APPLICATIONS menu, press O. ... - Texas Instruments TI-89 | User Manual - Page 40

Press Result ... DDBC ¸¸ Note: The previous open App appears (in this example, the calculator Home screen). To turn on the Apps ... ON in the Apps Desktop mode 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... - Texas Instruments TI-89 | User Manual - Page 41

... 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. Note: Because the CLOCK dialog box displays the settings... - Texas Instruments TI-89 | User Manual - Page 42

...the date (for procedures, see Setting the date). - or - To save your settings and exit, press ¸. The time is updated in the top right corner of the Apps desktop. Setting the date 1. Press C or D as required to highlight the Date Format field. 2. Press B to open the list of date formats. 3. Press C ... - 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

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

...APPLICATIONS menu. Lists the installed Apps. (Menu is available only when the Apps desktop is turned off;...Apps desktop.) FLASH APPLICATIONS menu. Lists the installed Flash Apps. (Menu is available only ... desktop is turned off; Flash Apps are normally accessed from the Apps desktop.) O 8O Selecting ... - 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

... menu replaces the standard toolbar menu on the calculator Home screen. (For details on creating a custom menu, see the electronic Programming chapter.) More information is available about custom menus. (See the electronic Operating the Calculator chapter.) Example: Turn ... - Texas Instruments TI-89 | User Manual - Page 57

... 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) ... - Texas Instruments TI-89 | User Manual - Page 58

... turned off If you turn off the Apps desktop, use the APPLICATIONS menu to open Apps. To open the APPLICATIONS menu with the Apps desktop off, press O. Note: If you press O ... desktop will appear instead of the APPLICATIONS menu. Example: With the Apps desktop turned off, open the Window Editor ... - Texas Instruments TI-89 | User Manual - Page 59

Press 3 - or - Result 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 ... - 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. ... 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

If 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

.../latest The CD-ROM included with your TI-89 Titanium. A compatible graphing calculator. Adding ... came with your TI-89 Titanium. For system requirements and instructions to link to compatible calculators ... the customer support number, you will be asked to provide information about your TI-89 Titanium.... - Texas Instruments TI-89 | User Manual - Page 66

...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 ... and keep it in a safe place in case the calculator is ever lost or stolen. Í Apps certificate revision number (Cert.... - 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

... unit-to-unit cable to connect the TI-89 Titanium to a compatible graphing calculator or peripheral device, such as a TI-89 or TI-92 Plus graphing calculator or the CBL 2™ and CBRମ.-Presenter™ video adapter to the teacher model of the TI-89 Titanium. The TI-Presenter video adapter provides... - 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 303). The backup battery is already installed, ... - 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...before downloading. Please contact Texas Instruments as described in Service & Support Information, if you experience a problem. Battery Precautions ... - Texas Instruments TI-89 | User Manual - Page 71

... gives battery 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 ... - 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

... Computations This section provides several examples for 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 ... - 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

... keyboard or by pressing „ and selecting 2:factor(. Press „ 2 X Z 2 | 5 b X d ¸ Solving Equations Steps and keystrokes Display Solve the equation x ...menu, by typing SOLVE( on the keyboard, or by pressing „ and selecting 1:solve(. The status line area shows the required syntax for the marked ... - Texas Instruments TI-89 | User Manual - Page 78

... 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 Display Solve the ... - Texas Instruments TI-89 | User Manual - Page 79

... to x. This example illustrates using the calculus differentiation function and how the function is displayed in "pretty print" in the history area. Press 2 ...of another. This example illustrates using the calculus implicit derivative function. Press ...D X Z 2 « Y Z 2 Á 100 bX b Y d¸ Previews 79 - Texas Instruments TI-89 | User Manual - Page 80

...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 vectors. Press ... - 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

... 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 that x is expressed in terms of y. Substitute the expression for x into the second Previews 82 - Texas Instruments TI-89 | User Manual - Page 83

... substitute the y value back into the first equation to solve for the value of x. Steps and keystrokes Display 1.... „ 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 ... - 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 .... A one-step function is available for solving systems of equations. Constants and Measurement Units Using the equation f = m...a, calculate the force ... - Texas Instruments TI-89 | User Manual - Page 85

acceleration due to gravity, which is a constant named _g). Convert the result from newtons to kilograms of force. Steps and keystrokes Display 1. Display the MODE dialog box, Page 3. For Unit System mode, select SI for the metric system of measurements. Results are displayed according to these ... - Texas Instruments TI-89 | User Manual - Page 86

...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

learn how to enter a function, produce a graph of the function, trace a curve, find a minimum point, and transfer the minimum... 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. ... - 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

... the Home screen, and then display the Home screen. Press 8 ? " Basic Function Graphing II Graph a circle of radius 5, centered on the origin of the coordinate ...viewing window. Steps and keystrokes Display 1. Display the MODE dialog box. For Graph mode, select FUNCTION. Press 3 B 1 ¸ Previews 89 - Texas Instruments TI-89 | User Manual - Page 90

...Then define y1(x) = a circle. ( r 2 - x 2 ) , the top half of In function graphing, you must define separate ...¸ ¸ 2 ] jRZ2|XZ2d¸ 4. Define y2(x) = - r 2 - x 2 , the function for the bottom half of the circle. The bottom half ... define y2(x) = Ly1(x). Use the full function name y1(x), not simply y1.... - 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 ... - Texas Instruments TI-89 | User Manual - Page 92

Basic Function Graphing III Use the "Detect Discontinuities" graph format to eliminate faux ... Display 1. Display the MODE dialog box. For Graph mode, select FUNCTION. For Angle mode, select ... means it can be set to sequential "Seq" or simultaneous "Simul". Press 8 Í D D D D D D B 1 ¸q Previews 92 - 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

... 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 explore the appearance of the rose for other ... 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 ... - 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

...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...% remaining) and 1000 new trees will be planted. Using a sequence, calculate the number of trees in the forest at the end of each year. Does it ... - 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 clear the Y= Editor. Then define the sequence as u1(n) = iPart(.8...u1(nN1)+1000). Use iPart to take the integer part of the result. No fractional trees are harvested. To ... - Texas Instruments TI-89 | User Manual - Page 100

Steps and keystrokes Display 5. Set the x and y Window variables 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 year. How many years (nc) does it take the number of trees (yc) to ... - Texas Instruments TI-89 | User Manual - Page 101

... 3D equation z(x,y) = (x3y N y3x) / 390. Animate the graph by using the cursor to interactively change the eye ... Display 1. Display the MODE dialog box. For Graph mode, select 3D. Press 3 B 5 ¸ ... 8 # , 8 ¸ ¸ c X Z 3 Y | Y Z 3 X d e 390 ¸ 3. Change the graph format to display and label the axes. ... - Texas Instruments TI-89 | User Manual - Page 102

... may be shown in expanded view. When you animate the graph, the screen returns to normal view automatically....between expanded and normal view) 5. Animate the graph by decreasing the eyef Window variable value.... to a lesser extent than eyef. To animate the graph continuously, press and hold the cursor ... - 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

... plot is not displayed. Differential Equation Graphing Graph the solution to the logistic 1st-order ... enter initial conditions in the Y= Editor and interactively from the Graph screen. Steps and keystrokes Display 1. Display the MODE dialog box. For Graph mode, select DIFF EQUATIONS. Press 3 B 6 ¸... - 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

Additional Graphing Topics From the Home screen, graph the piecewise defined function: y = Lx when x < 0 and y = 5 cos(x) when x , 0. Draw a horizontal line across the ...1 D D D B 1 ¸ 2. Display the Home screen. Use the Graph command and the when function to specify the piecewise defined function. - Texas Instruments TI-89 | User Manual - Page 111

... Display 4. Draw a horizontal line across the top of the cosine curve. The calculator remains in "horizontal" mode until you select a different operation or ... 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 ... - 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 ... where 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

... and clear the Y= Editor. Then define y1(x) = x 3 N 2x. Press 8 # , 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 1 ¸ 4. Display the Table screen. Press 8 ' 5. Scroll through the table. Notice ... - Texas Instruments TI-89 | User Manual - Page 114

... coefficients change. Steps and keystrokes Display 1. Display the MODE dialog box. For Graph, select FUNCTION. For Split Screen, select LEFT-RIGHT. For Split 1 App, select Y= Editor. For Split 2 App, select Graph. Press 3 B 1 „ B 3 D B 2 D B 4 ¸ Previews 114 - Texas Instruments TI-89 | User Manual - Page 115

.... Press , 8 ¸ ‡ 5 ¸ .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... - 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. Then add a second column of information. Notice that... (which can have multiple columns). Steps and keystrokes Display 1. Use O to display the Data/Matrix Editor. Create a new list variable named TEMP. Press 3 B 3 D D... - 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

...more than 12 stories. Using Median-Median and linear regression calculations, find and plot equations to fit the data. For each .... Steps and keystrokes Display 1. Display the MODE dialog box. For Graph mode, select FUNCTION. Press 3 B 1 ¸ 2. Use•O to display the Data/Matrix Editor. Create a new ... - 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

... the STAT VARS screen. The Data/Matrix Editor displays. Press ¸ 9. Display the Calculate dialog box. Set: Calculation Type = LinReg x = C1 y = ... 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 ... - 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

... 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 adjusts the viewing window to include ... - 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

... the MedMed (y1(x)) and LinReg (y2(x)) regression equations to calculate values for x = 300 (300,000 population). The round function ( 2 I 1 3) ensures that results show an integer number of buildings. After calculating the first result, edit the entry line to change ... - Texas Instruments TI-89 | User Manual - Page 128

Programming Write a program that prompts the user to enter an integer, sums all integers from 1 to the entered integer, and displays the result. ... program. Press 3 2. Type PROG1 (with no spaces) as the name of the new program variable. Press D D PROG j 1 3. Display the "template" for a new program. ... - 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... box that prompts "Enter an integer", waits for the user to enter a value, and stores it (as a string) ... Displays the final value of temp. Type the program lines as shown. Press ¸ at the end ... - Texas Instruments TI-89 | User Manual - Page 130

...I/O screen. The result is the sum of the integers from 1 through 5. Although the Program I/O screen looks similar to the Home screen, ... 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... - Texas Instruments TI-89 | User Manual - Page 131

Steps and keystrokes Display 8. Leave the Program I/O screen and return to the Home screen. You can also press N, 2 K, or " to return to the Home screen. Press ‡ Text Operations Start a new Text Editor session. Then practice using the Text Editor by typing whatever text you want. As you type, ... - Texas Instruments TI-89 | User Manual - Page 132

... uppercase letter, press 7 and then the letter. To type a space, press j (alpha function of the ? key). To type a period, press j to turn alpha-lock off, press ¶, and ... 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

Steps and keystrokes Display 5. Return to the current session on the Text Editor. Notice that the displayed session is exactly the same as you left it. Press 2 a Numeric Solver Consider the equation a=(m2Nm1)/(m2+m1)...g, where the known values are m2=10 and g=9.8. If you assume that a=1/3 g, ... - Texas Instruments TI-89 | User Manual - Page 134

... guess for m1. Even if you enter a value for all variables, the Numeric Solver solves for the variable marked by the cursor. Press D D 5. Solve for 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 x axis, and left... - Texas Instruments TI-89 | User Manual - Page 136

Number Bases Calculate 10 binary (base 2) + F hexadecimal (base 16) + 10 decimal (base 10). Then, use the 4 operator to ... 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 ... - Texas Instruments TI-89 | User Manual - Page 137

... 0h prefix to identify the base. Press « 1 ¸ 6. Change the Base mode to HEX. When Base = HEX or BIN, the magnitude of 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 ¸ Previews 137 - Texas Instruments TI-89 | User Manual - Page 138

... 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 move a variable to the user data archive memory and explore the ways in which you can and cannot access an archived variable. (Archived Previews 138 - Texas Instruments TI-89 | User Manual - Page 139

... variables with the following variable types. Expression: 5 !x1 Function: x2+4 !f(x) List: {5,10} !L1 Matrix: [30,25] !m1 Press " M 5 9 X1 ¸ X Z 2«49jFcXd¸2[ 5... j M1 ¸ 2. Suppose you start to perform an operation using a function variable but can't remember its name. Press 5 p 3. ... - Texas Instruments TI-89 | User Manual - Page 140

Steps and keystrokes Display 4. Change the screen's view to show only function variables. Although this may not seem particularly useful in an ...were many variables of all different types. Press „ D D B 5 ¸ 5. Highlight the f function variable, and view its contents. Notice that the function was... - Texas Instruments TI-89 | User Manual - Page 141

...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 indicates 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

Steps and keystrokes Display 4. Attempt to store a different value to the 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 ... - 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 items that are selected. Notice that this also selected the MAIN folder. Note: Instead of using ‡ (if you don't want to delete all your variables), ... - Texas Instruments TI-89 | User Manual - Page 144

Steps and keystrokes Display 4. Because ‡ 1 also selected the MAIN folder, an error message states that you cannot delete the MAIN folder. Acknowledge the message. When VAR-LINK is redisplayed, the deleted variables are not listed. Press ¸ 5. Close VAR-LINK and return to the current ... - 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..., the APD™ (Automatic Power Down™) feature lets the calculator turn itself off automatically. Turning the Calculator ... - Texas Instruments TI-89 | User Manual - Page 146

... of the following keys to turn off your graphing calculator. Press: Description Settings and .... When you turn the calculator on again, it displays either the Home screen or the Apps desktop (regardless ... several minutes without any activity, the calculator turns itself off automatically. This feature ... - Texas Instruments TI-89 | User Manual - Page 147

APD does not occur if a calculation or program is in progress, unless the program is paused. If a program is running, but ... 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 ... - 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

... 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

... 2 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

... 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. 2 - Texas Instruments TI-89 | User Manual - Page 153

...to enter variable names 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 ...type them quickly, these letters are primary keys on the TI-89 Titanium keyboard. X Y Z T Operating the Calculator 153 - 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

... use ¤ or uppercase ALPHA-lock for X, Y, Z, or T. On the TI-89 Titanium, alpha-lock is always turned ... 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

... lets you enter positive and negative numbers for your calculations. You can also enter numbers in scientific notation....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 (... - Texas Instruments TI-89 | User Manual - Page 157

module. For example, it is important to know that functions such as x2 are evaluated before negation. Use c and d to include parentheses ...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

.... Some require one or more arguments. For example: Circle 0,0,5. Function Returns a value. • Instruction Initiates an action. • • • Note: For instructions, do ...: • 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. If you ... - Texas Instruments TI-89 | User Manual - Page 161

... a menu, if available. 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 ... - 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

...is displayed at the beginning of the line. 4. To return to the entry line, press N. Continuing a Calculation When you press ¸ to evaluate an expression, the graphing calculator leaves the expression on the entry line and highlights it. You can continue ... - 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

... both the entry and its result in pretty print after you press ¸. Exact/Approx Mode By default, Exact/Approx = AUTO. You can use 3 to select from three settings. Because AUTO is a combination of the other two settings, you should be familiar with all three settings. Operating the Calculator 166 - Texas Instruments TI-89 | User Manual - Page 167

... to a whole number. Press 8 ¸ to temporarily override the EXACT setting and display a floating-point result. Note: By retaining fractional 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

.... Note: Results are rounded to the precision of your graphing calculator and displayed according to current ... contains a decimal point. Also, certain functions may display APPROXIMATE results even ... a decimal point. A decimal in the entry forces a floating-point result. Operating the Calculator 168... - Texas Instruments TI-89 | User Manual - Page 169

... form, regardless of the current setting, press 8 ¸. Display Digits Mode By default, 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

Internally, the calculator calculates and retains all decimal results with up to 14 significant digits (although a maximum ...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 ... - Texas Instruments TI-89 | User Manual - Page 171

... 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... while typing an expression, it's often easier to correct the mistake than to retype the entire expression. Operating the Calculator 171 - 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

... The 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, ... 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

...When you highlight characters to replace, remember that 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... - Texas Instruments TI-89 | User Manual - Page 176

...you access a menu that you can customize 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 for more ... - Texas Instruments TI-89 | User Manual - Page 177

... from a Menu To select an item 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 ... - 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... - 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

...Press 3 to select round. (Or press D D and ¸.) 4. Press 2 T b 3 d and then ¸ 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 explore a variety of problems. You can select an ... for viewing a graph. Display graphs. Application: FlashApps Y= Editor Window Editor Graph Operating the Calculator 181 - Texas Instruments TI-89 | User Manual - Page 182

... or equation, define values for all but one variable, and then solve for the unknown variable. Enter expressions and instructions, and perform calculations. Program Editor Text Editor Numeric Solver Home From the Apps Desktop Press the first ... - Texas Instruments TI-89 | User Manual - Page 183

... the screen displayed when you last viewed the App. (If there is no current file/.... Use any of these methods to return to the Apps desktop from within an application Press O. In full-... 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... - Texas Instruments TI-89 | User Manual - Page 186

...: Modes that are not currently valid are dimmed. For example, on Page 2, Split 2 App is not valid when Split Screen = FULL. When you scroll through the ... 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

...Graph Current Folder Description Type of graphs to plot: FUNCTION, PARAMETRIC, POLAR, SEQUENCE, 3D,...Using Folders to Store Independent Sets of Variables" in Calculator Home Screen. Maximum number of digits... and displayed: RADIAN, DEGREE or GRADIAN. Display Digits Angle Operating the Calculator 187... - Texas Instruments TI-89 | User Manual - Page 188

... Number of Graphs = 2, selects the type of graph in the Split 2 part of the screen. Refer to Calculator Home..., EXACT, or APPROXIMATE. Lets you perform calculations by entering numbers in decimal (DEC), hexadecimal... Split 2 App Number of Graphs Graph 2 Exact/Approx Base Operating the Calculator 188... - Texas Instruments TI-89 | User Manual - Page 189

... Unit System, 3:CUSTOM. Lets you localize the calculator into one of several languages, depending on ... Up toolbar menu lets you start a new calculation from a cleared state without resetting the memory. ... Menu To display the Clean Up menu from the Home screen, press: 2ˆ Operating the Calculator 189 - Texas Instruments TI-89 | User Manual - Page 190

... names are often used in symbolic calculations such as: solve(a¦x2+b¦x+c=0,x) If ... you can select 1:Clear a-z before beginning the calculation. NewProb ¸ to execute the command. Places ..., 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

... way to access any built-in command (functions and instructions) from one convenient list. In addition,... used in Flash applications or user-defined functions (if any have been loaded ... 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

... function or 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 ... - Texas Instruments TI-89 | User Manual - Page 194

... command and its parameters. Some commands, such as ClrDraw, do not require parameters. If you select one of these commands, parameters will not 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

... function or 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 ... - 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

... 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 (such as LineVert). Refer to the Technical Reference module. System variables (such as xmin and xmax, which are used ... - Texas Instruments TI-89 | User Manual - Page 199

...the value you want to store, 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,... - Texas Instruments TI-89 | User Manual - Page 200

... ¸ to evaluate the expression. Note: To view a list of existing variable The variable's value did not change. names, use 2 ° as described in Memory and Variable Management. If you 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

... 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 Ï Ð Ñ Ê Current Folder Ë Modifier Key Ì Angle Mode Operating the Calculator 201 - Texas Instruments TI-89 | User Manual - Page 202

... will use the diamond 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... - Texas Instruments TI-89 | User Manual - Page 203

...key. Radians Degrees Gradian Shows how answers are calculated and displayed. To change the Exact/Approx ...graphs that can be plotted. To change the Graph mode, use the 3 key. y(x) functions x(t) and y(t) parametric equations ...Graph Number Graph Mode FUNC PAR POL SEQ 3D DE Operating the Calculator 203 - Texas Instruments TI-89 | User Manual - Page 204

... pairs in 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, ... - Texas Instruments TI-89 | User Manual - Page 205

...to the same screen. Displaying 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 ...¸. You can also display the calculator Home screen by pressing " (TI-89 Titanium). If you turn off the... - Texas Instruments TI-89 | User Manual - Page 206

.... Ê Toolbar Lets you display menus for selecting operations applicable to the calculator Home screen. To display a toolbar menu, press ƒ, „, ... Line Where you enter expressions or instructions. Î Status Line Shows the current state of the calculator, including several important mode settings.... - Texas Instruments TI-89 | User Manual - Page 207

... and press B to scroll right and view the rest of it. Note that the answer is not on the same line as the expression. Í Expression Continues (...) Press B to 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

... answer that is too long for one line (8 is at end of line) If the cursor is in the history area, press 8 C or 8 D, respectively. A and B to scroll left and right (or 2 A and 2 B to go to the beginning or end), respectively. Move the cursor to the entry or answer. Use Calculator Home Screen 208 - Texas Instruments TI-89 | User Manual - Page 209

...number of pairs that can be saved. By default, the last 30 entry/answer pairs are saved. If the history area is full when you make a new entry (indicated by 30/30), the new entry/answer 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

... to either the entry or answer. Press 0 or M. Saving the Calculator Home Screen Entries as a Text Editor ... in the history area, you can save the calculator Home screen to a text variable. When you ... script. Saving the Entries in the History Area From the calculator Home screen: 1. Press ƒ and select... - Texas Instruments TI-89 | User Manual - Page 211

...in an input box such as Variable, press ¸ twice). Restoring the Saved Entries Because the entries are stored in a script format, you cannot restore them from the calculator Home screen. (On the calculator Home screen's ƒ toolbar menu, 1:Open is not available.) Instead: Calculator Home Screen 211 - 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

.... 1. Highlight the characters that you want to cut or copy. In the entry line, move the cursor to either side of the characters. Hold ¤ and press A or B to highlight characters to the left or right 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

..., if any. Pasting Information from the Clipboard A paste operation inserts the contents of the clipboard at the current cursor location on the entry line. 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

... information. a) Use ¤ B or ¤ A to highlight the expression. b) Press: @ 86 c) For this example, press ¸ to evaluate the entry. 2. Paste the copied information into a new entry. a) Begin a new entry and place the cursor where you want to paste the copied information. Calculator Home Screen 215 - Texas Instruments TI-89 | User Manual - Page 216

... the new entry, and press ¸. Note: You can also reuse an expression by creating a user-defined function. 3. Paste the copied information into a different application. ... and pasting, you can easily transfer information from one application to another. Calculator Home Screen 216 - Texas Instruments TI-89 | User Manual - Page 217

... Entry Line When you press ¸ to evaluate an expression, the TI-89 Titanium leaves that expression on the entry line and highlights it. ... expression. 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 ¸ ... - 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 ... and reexecute 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

... lets 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

... by 8 at the end of the line), use B and A or 2 B and 2 A. The highlighted item is inserted in the entry line. 4. Press ¸. This pastes the entire entry or answer. If you need only a part of the entry or answer, edit the entry line to delete the unwanted parts. Calculator Home Screen 222 - Texas Instruments TI-89 | User Manual - Page 223

... 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 ... example, cube(n) = x3 gives unexpected results when you evaluate the function. Calculator Home Screen 223 - Texas Instruments TI-89 | User Manual - Page 224

... argument list). § Define command Define a function name (including the argument list) 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

... Note: For information about similarities and differences between functions and programs, refer to Programming. For example, suppose you want to create a function... and 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

...EndFunc Use argument names that will never be used when calling the function or program. On the calculator Home screen: Multi-statement functions show as...a complicated multi-statement function in the Program Editor than on the calculator Home screen. Refer to Programming. Calculator Home Screen ... - Texas Instruments TI-89 | User Manual - Page 227

Evaluating a Function You can use a user-defined function just as you would any other function. Evaluate it by ... expression. Displaying and Editing a Function Definition To: Do this: Display a list of all Press 2 ° to display the VAR-LINK user-defined functions screen. You may need to use the „ ... - 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

... 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

... If possible, break 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 ... - Texas Instruments TI-89 | User Manual - Page 231

... turn it off, the normal menu returns. For example, from the calculator Home screen's normal toolbar menu, ... toggle the custom menu on and off. 2¾ Calculator Home screen normal toolbar menu ... variable names. Function names such as f(x), g(x), and f(x,y). Items related to solving equations. Common ... - Texas Instruments TI-89 | User Manual - Page 232

... 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. Display ... by running the program again. 3. Press ¸ to execute the commands and restore the default. Calculator ... - Texas Instruments TI-89 | User Manual - Page 233

...situations, you may need to find out information about your TI-89 Titanium, particularly the software version and the unit's ID number. Displaying the ... number of your unit. If you have difficulties with your TI-89 Titanium and need to contact technical support, knowing the software version may make ... - Texas Instruments TI-89 | User Manual - Page 234

... following information about your calculator Hardware version OS (Advanced Mathematics Software) version Product identifier (Product ID) Unit ID Apps certificate revision ... certificates for installing purchased Apps) Your screen will be different from the one shown above. Calculator Home ... - 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

... character in the name. Leave one-character names undefined for symbolic calculations. Unless you knew that 5 had been stored to x previously, the...the variable name. If undefined, the variable name is displayed. Use the isVar() function. If defined, "true" is displayed. If undefined, "false" is ... - 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

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

To delete: Do this: All one-letter variables (a - z) in the current folder. Note: For information about folders, refer to the Calculator Home Screen module. From the Home screen Clean Up menu, select 1:Clear a-z. You will be prompted to press ¸ to confirm the deletion. Temporarily Overriding a... - Texas Instruments TI-89 | User Manual - Page 240

... 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 Setting ... - Texas Instruments TI-89 | User Manual - Page 241

... you use more complicated rational numbers and irrational constants, calculations can: • • • Use more memory, which may exhaust the ... constants to floating-point. However, there are exceptions: • Certain built-in functions that expect one of their arguments to be an integer will convert that ... - Texas Instruments TI-89 | User Manual - Page 242

... 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, a ... - Texas Instruments TI-89 | User Manual - Page 243

...transforms to x/6 + .16666666666667 y and {1/2 - 1/3, 0.5 - 1/3} transforms to {1/6, .16666666666667} In the AUTO setting, functions such as solve determine as many solutions as possible exactly, and then use approximate numerical methods if necessary to determine ... - 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

... 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(2x) = ln(2) + ln(x) and sin(x)2 + cos(x)2 = 1 How Long Is the Simplification Process?... - Texas Instruments TI-89 | User Manual - Page 247

...: function(expression, var [, ...]) Note: Not all functions that use a var argument use delayed simplification. For example: 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 ... - Texas Instruments TI-89 | User Manual - Page 248

..., depending on the situation. For example: x cannot be simplified. x is not simplified. The function uses x3, and then substitutes 5 for x. Note: ... 75, you 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 ... - Texas Instruments TI-89 | User Manual - Page 249

Substituting Values and Setting Constraints The "with" operator ( | ) lets you temporarily substitute values into an expression or specify domain constraints. Typing the "With" Operator To type the "with" operator ( | ), press: @ Í Substituting for a Variable For every occurrence of a specified ... - Texas Instruments TI-89 | User Manual - Page 250

... Substituting Complex Values You can substitute complex values just as you would for other values. All undefined variables are treated as real numbers in symbolic calculations. To perform complex symbolic analysis, you must define a complex variable. For example: x+yi!z Then you can use z as a ... - 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 a... - Texas Instruments TI-89 | User Manual - Page 254

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

Storing 1!x affects 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 ... to select the most commonly used algebraic functions. The Algebra Menu From the Home screen, press... - Texas Instruments TI-89 | User Manual - Page 256

... a reduced ratio 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 opposed to solve, which may display several solutions in a rational or... - Texas Instruments TI-89 | User Manual - Page 257

... 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: These are the same as solve, factor, and zeros; but they also compute complex results. ... - Texas Instruments TI-89 | User Manual - Page 258

...side of an equation or inequality. Note: The left and right functions are also used to return a specified number of elements or ...string. Common Algebraic Operations This section gives examples for some of the functions available from the „ Algebra toolbar menu. For complete information about any... - 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...expand perform opposite operations. Finding Prime Factors of a Number The factor („ 2) function lets you do more than simply factor an ... - Texas Instruments TI-89 | User Manual - Page 260

... 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 solve displays only the final result. Symbolic Manipulation 260 - 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 | 5y |... following methods. Method Example Use the solve function for a one-step solve(2xN3y=4 and Lx+7y=L12,{x,y}) solution. Use the solve function with substitution ( | ) for step-by-step manipulation. ... - Texas Instruments TI-89 | User Manual - Page 262

... 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

Finding the Zeros of 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. ... - Texas Instruments TI-89 | User Manual - Page 264

... Fractions and Common Denominators Use the propFrac („ 7) and comDenom („ 6) functions. propFrac(rational expression [,var]) for proper fractions with .... Note: You can use comDenom with an expression, list, or matrix. If you do this example on your handheld, the propFrac function scrolls off the ... - Texas Instruments TI-89 | User Manual - Page 265

... can use the ...Calc toolbar menu to select commonly used calculus functions. The Calc Menu From the Home screen, press ...to display: This menu ... 2 I and then select A:Calculus. Note: For a complete description of each function and its syntax, refer to the Technical Reference module. Menu Item d ... - 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. ... arc length of an expression with respect to a specified variable. Calculates a Taylor polynomial approximation to an expression with respect to... - Texas Instruments TI-89 | User Manual - Page 267

...=. Common Calculus Operations This section gives examples for some of the functions available from the ...Calc toolbar menu. For complete information about... Integrating and Differentiating Use the ‰ integrate (...2) and d differentiate (...1) functions. ‰ (expression, var [,low] [,up]) lets you ... - Texas Instruments TI-89 | User Manual - Page 268

... 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 [,.../ x as x approaches 0. Note: You can find a limit for an expression, list, or matrix. Symbolic Manipulation 268 - Texas Instruments TI-89 | User Manual - Page 269

...for sin(x) with respect to x. Store the answer as a user-defined function named y1(x). Then graph sin(x) and the Taylor polynomial..... 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.... - 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 Entering a ... - Texas Instruments TI-89 | User Manual - Page 271

• Use 9 to create a user-defined secant function, where: 1 sec x = ---------cos x Then find the limit of sec(x) as x ... the Calc toolbar menu, press ...3. • Use Define to create a user-defined function h(x), where: x sin t h ( x t 0 Define h(x)= ‰(sin(t)/t,t,0,x). Then find a 5th order ... - 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 ...(x) • If you were to create a multi-statement user-defined function with the form: Func If x - Texas Instruments TI-89 | User Manual - Page 273

• Create an equivalent single-statement user-defined function. Use the TI-89 Titanium's built-in when function. Then ...-point result. If You Get an Out-of-Memory Error The TI-89 Titanium stores intermediate results in memory and then deletes them when the calculation is complete. Depending on the ... - Texas Instruments TI-89 | User Manual - Page 274

... a large number of digits, this uses less memory than AUTO or EXACT. For results that have only a few digits, this uses more memory.) Simplifying Problems • Split the problem into parts. • Split solve(a - Texas Instruments TI-89 | User Manual - Page 275

• • Reformulate a problem to avoid 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 ... - Texas Instruments TI-89 | User Manual - Page 276

@n1 ...@n255 This notation indicates an "arbitrary integer" that represents any integer. When an arbitrary integer occurs multiple times in the same session, each occurrence is numbered consecutively. After it reaches 255, arbitrary integer consecutive numbering restarts at @n0. Use Clean Up 2:... - Texas Instruments TI-89 | User Manual - Page 277

@1 ...@255 This notation indicates an "arbitrary constant" that represents any integer. When an arbitrary constant occurs multiple times in the same session, each occurrence is numbered consecutively. After it reaches 255, arbitrary integer consecutive numbering restarts at @0. Use Clean Up 2:... - 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

Constants and Measurement Units Entering Constants or Units You can use a menu to select from a list of available constants and units, or you can type them directly from the keyboard. From a Menu The following shows how to select a unit, but you can use the same general procedure to select a ... - Texas Instruments TI-89 | User Manual - Page 280

...). From the Keyboard 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 ... - 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

... one unit to 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 as described later. The... - 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 ... - Texas Instruments TI-89 | User Manual - Page 287

... Default Units for Displayed Results All results involving units are displayed in the default unit for that category. For example, if the default unit for Length is _m, any length 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 ENG/US, the Custom Units item is dimmed. You cannot set ... - Texas Instruments TI-89 | User Manual - Page 289

4. For each category, you can highlight its default, press B, and select a unit from the list. 5. Press ¸ twice to save 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 ... - Texas Instruments TI-89 | User Manual - Page 290

...Mass that have no components. Creating Your Own User-Defined Units In any category, you can expand ...as a single unit named _ms2. You want to calculate how many times someone blinks. You can use ...treated the same as 3a. Note: If you create a user-defined unit for an existing category, you can select ... - 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

... Length and Time are set to _m and _s. To calculate 195 blinks in 5 minutes as _blinks/_min: ... unit default for Time is set to _s. Notes: • • 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 as ... - Texas Instruments TI-89 | User Manual - Page 293

List of Pre-Defined Constants and Units This section lists the pre-defined constants and units by category. You can select any of these from the UNITS dialog box. If you use 3 to set default units, note that categories with only one defined unit are not listed. Defaults for SI and ENG/US The SI and... - 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

...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/index.html). Length _Ang _au... - 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

... Function Graphing Overview of Steps in Graphing Functions To graph one or more y(x) functions, use the general steps shown below.... not need to do all the steps each time you graph a function. Graphing Functions 1. Set Graph mode (3) to FUNCTION. Also set Angle mode, if necessary. 2. Define x and y ... - Texas Instruments TI-89 | User Manual - Page 303

.... 6. Change 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 ... by tracing a function. Use the „ Zoom toolbar menu to zoom in or out on a portion of the graph. Basic Function Graphing 303 - Texas Instruments TI-89 | User Manual - Page 304

... 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 ..., such as x1/3. While this module specifically describes y(x) function graphs, the calculator lets you select from six Graph mode settings.... - Texas Instruments TI-89 | User Manual - Page 305

...bottom of the screen. Angle Mode Graph Mode Defining Functions for Graphing 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

... cursor to the entry line. 4. Type the expression to define the function. • • The independent variable in function graphing is x. The expression can refer to other variables, ... typing, the cursor moves to the entry line. 5. When you complete the expression, press ¸. Basic Function Graphing 306 - Texas Instruments TI-89 | User Manual - Page 307

...list now shows the new function, which is automatically selected for graphing. Note: If you... to "Editing an Expression in the Entry Line" in Operating the Calculator. - or - • Press M once or twice to clear the old...: To cancel any editing changes, press N instead of ¸. Basic Function Graphing 307... - Texas Instruments TI-89 | User Manual - Page 308

...stat plots. You don't have to clear a function to prevent it from being graphed. You can select... you want to graph. Shortcuts to Move the Cursor From the Y= Editor: Press: To: Go to function 1 or to the last... the last defined function, 8 D goes to function 99. 8 C or 8D Basic Function Graphing 308... - Texas Instruments TI-89 | User Manual - Page 309

... Program You can also define and evaluate a function from the Home screen or a program. • Use the Define and Graph commands. ... Operating the Calculator. "Creating and Evaluating User-Defined Functions" in Calculator Home Screen. Store an expression directly to a function variable. Refer to: Note:... - 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

.... To set 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. The... - Texas Instruments TI-89 | User Manual - Page 313

... You can also set a function's style from the Home screen or a program. Refer to the Style command in the... window's boundaries and other attributes. Function graphs, parametric graphs, etc., have their own ... xmax xmin Corresponding Viewing Window (shown on Graph screen) Basic Function Graphing 313 - Texas Instruments TI-89 | User Manual - Page 314

.... Sets pixel resolution (1 through 10) for function graphs. The default is 2. • • At 1, functions are evaluated and ... are evaluated and graphed at every 10th pixel along the x axis. To turn off tick... the cursor to a different Window variable or leave the Window Editor. Basic Function Graphing 314... - Texas Instruments TI-89 | User Manual - Page 315

... the Home screen or a program. Refer to "Storing and Recalling Variable Values" in Operating the Calculator. Changing the Graph Format You can set the graph format ... coordinates in rectangular (RECT) or polar (POLAR) form, or hides (OFF) the coordinates. Basic Function Graphing 315 - Texas Instruments TI-89 | User Manual - Page 316

Format Graph Order Description Graphs functions one at a time (SEQ) or all at the same time (SIMUL). Not available when Discontinuity Detection is set ...to highlight the setting, and then press ¸. - or - Press the number for that setting. Basic Function Graphing 316 - 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

...-Moving Cursor To display the coordinates of any location on the Graph screen, use the free-moving cursor....any pixel on the screen; the cursor is not confined to a graphed function. Free-Moving Cursor When you ...adjoining pixel Press: A cursor pad arrow for any direction. Basic Function Graphing 319 - Texas Instruments TI-89 | User Manual - Page 320

...function but not on it. Cursor coordinates are for the center of the pixel, not the function. To increase the accuracy: • • Use the Trace tool described on ... 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 cursor's coordinates are displayed at the bottom of the screen. If multiple functions are graphed, the trace cursor appears on the lowest-numbered function selected ...more or less than 5, depending on the xres Window variable) Do this: Press A or B. Press 2 A or 2 B. Basic Function Graphing 321 - Texas Instruments TI-89 | User Manual - Page 322

... show coordinates, set the graph format so that Coordinates = 8Í RECT or POLAR. Press: Each displayed y value is calculated from the x value; that is, y=yn(x). If the function is undefined at an x value, the y value is blank. You can continue to trace a ... - Texas Instruments TI-89 | User Manual - Page 323

... in the Y= Editor, not the appearance of the functions as graphed on the screen. Automatic Panning If you trace ...There 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

... application screen such as the Y= Editor. When you return to the Graph screen and press ...to begin tracing: ... appears at the middle x value. If Smart Graph does not regraph the screen, the cursor ... at its previous location (before you displayed the other application). Basic Function Graphing 324 - Texas Instruments TI-89 | User Manual - Page 325

...other 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 ... - Texas Instruments TI-89 | User Manual - Page 326

... display the full range of dependent variable values for the selected functions. In function graphing, this maintains the current xmin and xmax and adjusts ... Memory SetFactors @x and @y are the distances from the center of one pixel to the center of an adjoining pixel. Basic Function Graphing 326 - Texas Instruments TI-89 | User Manual - Page 327

...you move the cursor, the box stretches. 4. When you have outlined 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

... screen 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

... Zoom tools, you may want to return to a previous viewing 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

... 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

... the Derivatives submenu, only dy/dx is available for function graphing. The other derivatives are available for other graphing modes (parametric, polar, etc.). Math Tool Value Zero... two points 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 ...area above or below the x axis. If two or more functions are graphed, this shades the area between any two .... You may not be able to move it back to the entered x value. Basic Function Graphing 332 - Texas Instruments TI-89 | User Manual - Page 333

... the solution, and its coordinates are displayed. Finding the Intersection of Two Functions within an Interval 1. From the Graph screen, press ‡ and select 5:Intersection. 2. ... bound for x. Either use A and B to move the cursor to the lower bound or type its x value. Basic Function Graphing 333 - Texas Instruments TI-89 | User Manual - Page 334

... and its coordinates are displayed. y2(x)=2xN7 Finding the Derivative (Slope) at a Point 1. From the Graph screen, press ‡ and select 6:Derivatives. Then select 1:dy/dx from ... C to select the applicable function. Note: Typing x values is a quick way to set the limits. Basic Function Graphing 334 - 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 function. 6. Set the second point. (If you use the cursor to set the point, a line is... 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. Note: To erase a drawn tangent line, ... - Texas Instruments TI-89 | User Manual - Page 337

... between a Function and the x Axis You must have only one function graphed. If you graph two or..., the Shade tool shades the area between two functions. 1. From the Graph screen, press ‡ and select C:Shade. ...• • Above the x axis, press ¸. Below the x axis, press: jN Basic Function Graphing 337 - 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 or 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 ... - 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 or 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 ... - 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 apply to polar equations are described on the ... - Texas Instruments TI-89 | User Manual - Page 341

.... 5. Define the viewing window (8 $). „ Zoom also changes the viewing window. 6. Change the 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-... - Texas Instruments TI-89 | User Manual - Page 342

... items are not available for polar graphs. Differences in Polar and Function Graphing This module assumes that you already know how to graph y(x) functions as described in Basic Function Graphing. This section describes ... let you enter information for the current Graph mode setting only. You should ... - Texas Instruments TI-89 | User Manual - Page 343

... list for each Graph mode setting. For example, suppose: • • In FUNCTION graphing mode, you define a set of y(x) functions. You change to POLAR graphing mode and define a set of r(q) equations. When you return to FUNCTION graphing mode, your y(x) functions are still defined in the Y= Editor.... - Texas Instruments TI-89 | User Manual - Page 344

...10. ymin = L10. ymax = 10. yscl = 1. (.1308996...radians or 7.5 xscl = 1. degrees) You may need to change the standard values for 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 ... even if Coordinates = RECT. Exploring a Graph As in function graphing, you can explore a.... Works just as it does for function graphs. • • Only x (xmin, xmax, xscl) and y (ymin,... - Texas Instruments TI-89 | User Manual - Page 346

.... 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. ...Trace • ... - Texas Instruments TI-89 | User Manual - Page 347

... 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 that apply to ... the following pages. Graping Parametic Equations 1. Set Graph mode (3) to PARAMETRIC. Also set Angle mode,... - Texas Instruments TI-89 | User Manual - Page 348

.... 5. Define the viewing window (8 $). „ Zoom also changes the viewing window. 6. Change the 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-... - Texas Instruments TI-89 | User Manual - Page 349

...etc. Some menu items are not available for parametric graphs. Differences in Parametric and Function Graphing This module assumes that you already know how to graph y(x) functions as described in Basic Function Graphing. This section describes the differences that apply... - Texas Instruments TI-89 | User Manual - Page 350

... as a user-defined function called 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 ... - Texas Instruments TI-89 | User Manual - Page 351

Selecting the Display Style You can set the style 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 ... - Texas Instruments TI-89 | User Manual - Page 352

... (tmin, tmax, tstep) to ensure that enough points are plotted. Exploring a Graph As in function graphing, you can explore a graph by using ..., even if the cursor is still on the screen. Tool Free-Moving Cursor For Parametric Graphs: Works just as it does for function graphs. Parametric Graphing 352 - 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

... 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

5. Define the viewing window (8 $). „ Zoom also changes the viewing window. 6. Change the graph format if necessary. ,9 - or - 8Í 7. Graph the selected .... Use the „ Zoom toolbar menu to zoom in or out on a portion of the graph. Use the ‡ Math toolbar menu to evaluate a sequence. Only 1:Value ... - Texas Instruments TI-89 | User Manual - Page 356

... assumes that you already know how to graph y(x) functions as described in Basic Function Graphing. This section describes ... that apply to sequences. Setting the Graph Mode Use 3 to set Graph = SEQUENCE before you ... let you enter information for the current Graph mode setting only. Defining Sequences ... - Texas Instruments TI-89 | User Manual - Page 357

... list for each Graph mode setting. For example, suppose: • • In FUNCTION graphing mode, you define a set of y(x) functions. You change to SEQUENCE graphing mode and define a set of u(n) sequences. When you return to FUNCTION graphing mode, your y(x) functions are still defined in the Y= Editor. ... - 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... nmin but not plotted. Incremental n value for graphing only. This does not affect how the sequence is... - Texas Instruments TI-89 | User Manual - Page 360

... to ensure that sufficient points are plotted. To see how plotstrt affects graph, look at the following examples 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... - Texas Instruments TI-89 | User Manual - Page 361

... multiple sequences are always plotted sequentially. Exploring a Graph As in function graphing, you can explore a... coordinates are shown in rectangular or polar form as set in the graph format. Tool Free-Moving Cursor For Sequence Graphs: Works just as it does for function graphs. Sequence Graphing... - Texas Instruments TI-89 | User Manual - Page 362

...For Sequence Graphs: Works just as it does for function graphs. • • Only x (xmin, xmax, xscl) and y (ymin, ymax, yscl) Window variables are affected.... x and y depend on the axes you choose. ‡ Math Only 1:Value is available for sequence graphs. • • Sequence Graphing 362 - 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

...affect a sequence's behavior. Valid Functions for Web Plots A sequence must meet the following criteria; otherwise, it will not be graphed properly on WEB axes. The.... 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

...=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

... nmin=1 nmax=100 plotstrt=1 plotstep=1 xmin=0 xmax=100 xscl=10 ymin=0 ymax=5 yscl=1 4. Graph the sequence (8 %). Note: Compare this graph with the u(n) divergence ...the same sequence with a different initial 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

... 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 and foxes that maintain population equilibrium in a certain region. R M K W G D Number of rabbits Growth rate of rabbits if there are no foxes (use .05) Rate at which foxes can kill rabbits ... - 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 rabbits u1...both the number 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 detailed ... (8 &) to: tblStart = 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 to 3D equations are described on the following pages. ... - Texas Instruments TI-89 | User Manual - Page 376

...8Í Note: To help you see the orientation of 3D graphs, turn on Axes and Labels.... the selected equations (8 %). Note: Before displaying the graph, the screen shows the "percent evaluated." Exploring ... toolbar menu to zoom in or out on a portion of the graph. Some of the menu items are dimmed because ... - Texas Instruments TI-89 | User Manual - Page 377

... assumes that you already know how to graph y(x) functions as described in Basic Function Graphing. This section describes the... list for each Graph mode setting. For example, suppose: • In FUNCTION graphing mode, you define a set of y(x) functions. You change to 3D graphing mode and define a set of... - Texas Instruments TI-89 | User Manual - Page 378

... you return to FUNCTION graphing mode, your y(x) functions are still defined in the Y= Editor. When you ... Technical Reference module) to define functions and equations for any graphing mode, regardless of the current ... Selecting the Display Style Because you can graph only one 3D equation at a time, ... - 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

... The Axes and Style formats are specific to the 3D graphing mode. Exploring a Graph As in function graphing, you can explore a graph by ... displayed coordinates are shown in rectangular or cylindrical form as set in the graph format. In 3D graphing, cylindrical coordinates are shown when you use use: ... - Texas Instruments TI-89 | User Manual - Page 381

...Coordinates = 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... 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

... unless you know the orientation of the axes. In 2D graphing, the x and y axes always have the same ... graphing, x and y have a different orientation relative to the Graph screen. Also, you can rotate and... and their labels from the Y= Editor, Window Editor, or Graph screen, use: 8Í Simple Example of... - Texas Instruments TI-89 | User Manual - Page 384

... across the grid. Notice that the grid wires may not appear parallel to the axes. Example of the Cursor on a Hidden Surface On more complex shapes, 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

...and y axes expand or contract. From the Home Screen or a Program The eye values are stored in the system variables ...and use the Greek menu. Animating a 3D Graph Interactively After plotting any 3D.... The Viewing Orbit When using A and B to animate a graph, think of it as moving the viewing angle along... - 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

... over 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... at a corner. For example, if xmin = ymin = 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 ... Optical Illusions The eye angles used to view a graph (eyeq, eyef, and eyeψ Window variables)... 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

...ˆ= 0 Note: The first two examples show the graphs as displayed on the screen. The second two examples .... To minimize the effect of optical illusions, use the GRAPH FORMATS dialog box to set Style ... is drawn to connect adjacent points on the 3D graph that have the same z value. This module discusses ... - 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

...eyeq=20, eyef=70, eyeψ=0 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

... 20. If ncontour=5 and you use the standard viewing window (zmin=L10 and zmax=10) , the increment is 3.333. Five contours are drawn for z=L6.666, L3.333, 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

Drawing Contours for Specified Z Values From the Graph screen, display the Draw menu and then ...=0. The specified contours are drawn on the current 3D graph. (A contour is not drawn if the specified z... is outside the viewing cube or if the 3D graph is not defined at that z value.) Notes about Contour ... - Texas Instruments TI-89 | User Manual - Page 402

... have the correct Window variable values, display the Graph Formats dialog box and set Style... 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 set the Window variables as shown. 3D Graphing 402 - Texas Instruments TI-89 | User Manual - Page 403

... = CONTOUR LEVELS, and return to the Window editor. 5. Press 8 % to graph the equation. It will take awhile to evaluate the graph; so... 7. Press N. Then use the cursor keys to animate the graph and view it from different eye angles. This example shows eyeq=70, eyef=70, and eyeψ=0. 3D Graphing 403 - Texas Instruments TI-89 | User Manual - Page 404

... graph 2D implicit forms that cannot be graphed in function graphing mode. Technically, an implicit plot is... only. Explicit and Implicit Forms In 2D function graphing mode, equations have an explicit form... terms of y. y is not unique for each x, so you cannot graph this in function graphing mode. 3D ... - Texas Instruments TI-89 | User Manual - Page 405

...3D graphing mode, you can graph these implicit forms without solving for y or x. Rearrange the implicit form ... equations. Break them into separate, explicit functions. Selecting the Graph Format Style In 3D graphing mode, define an appropriate equation and graph it as you would any 3D equation, with... - 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 ... Complicated Equation You can use the IMPLICIT PLOT graph format style to plot and animate a ... it may take a long time to evaluate such a graph, the visual results can justify the time required. 3D... - 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

... 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. Graphing ... - 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 - or - ... 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 ... as described in Basic Function Graphing. This section describes the differences. Setting the Graph Mode Use... let you enter information for the current Graph mode setting only. Defining Differential... - Texas Instruments TI-89 | User Manual - Page 413

... the Define command from the Home screen to define functions and equations. When entering equations in the Y= Editor,... expression. If you do, it is treated as a function call. Enter: y1' = .001y1ù(100Ny1)...-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 Order Solution Method Description Not available. Specifies the method used to solve the... than EULER but takes longer to find the solution. • • Differential Equation Graphing 414 - Texas Instruments TI-89 | User Manual - Page 415

... ¸ while a slope or direction field is being drawn, the graph pauses after the field is drawn but ... plotted. Press ¸ gain to continue. To cancel graphing, press ´. Setting Axes In the Y= Editor, Axes may or may not be available, depending on the current graph format. If it is available, you can ... - Texas Instruments TI-89 | User Manual - Page 416

...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 listed ... 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

... RK only) Tolerance used by the RK method to help select a step size for solving the equation; must be ,1EL14. (Fields = SLPFLD or DIRFLD only) Number of columns ...(Fields = DIRFLD only) 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 t Window variables (t0, tmax, tstep, tplot) are ... - 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

... variable (8 $) specifies the number of solution curves graphed automatically. By default, ncurves = 0. You can... a value from 0 through 10. However, the Fields graph format and the Axes setting determine... is used, t0 is set temporarily at the middle of the Graph screen. However, the value of t0 as set... - 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

..., but the following is a general method. 1. Rewrite the original differential equation as necessary. a) Solve for the highest-ordered derivative. b) Express it in terms of y and t. c) On the ... 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

... system. Example of a 2nd-Order Equation The 2nd-order differential equation y''+y = 0 represents a simple 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

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

...solution 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 ... sin(x), write 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)... - 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 necessary substitutions. y''' + 2y'' + 2y' + y = sin(x) y''' = sin(x) N 2y'' N 2y' Ny y''' = sin(t) N 2y'' N 2y' Ny y''' = sin(t) N 2y3 N 2y2 N y1 y3' = sin... - 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

...find the solution at a particular time, use ...to trace the graph. Setting Axes for Time or Custom Plots ... 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

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

...population of foxes (2) yi2 = Initial population of rabbits (5) 1. Use 3 to set Graph = DIFF EQUATIONS. 2. In the Y= Editor (8 #), define the differential equations and enter the initial conditions. Note: To speed up graphing times, clear any other equations in the Y= Editor... - Texas Instruments TI-89 | User Manual - Page 437

...=0 xmin=L1 xmax=10 xscl=5 ymin=L10 ymax=40 yscl=5 ncurves=0 diftol=.001 6. Graph the differential equations (8 %). 7. Press ...to trace. Then press 3 ¸ to see the number of foxes... 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 ... Use a list to specify more than one initial condition. Differential Equation Graphing 438 - Texas Instruments TI-89 | User Manual - Page 439

...dt = .001ùPù(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 with a graph of the equation's exact solution... - Texas Instruments TI-89 | User Manual - Page 440

...- @ 8Í Set Solution Method = RK and Fields = FLDOFF. Note: To speed up graphing times, clear any other equations in the Y= Editor. With FLDOFF, all equations are evaluated even if 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

...: Change tstep from .1 (its default) to 1. Otherwise, BldData calculates too many rows for the data variable ... to create a data variable containing the RK graphing points. 8. Return to the Y= Editor, press: ,9 - or - @ 8Í .... Note: You do not need to graph the equation before using BldData. For more ... - 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

... 2) is 85.6527. You can also use the Data/Matrix Editor to open the errorlog data variable and scroll to time = 40. Example of the deSolve( ) Function 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

... multiplication between the variable and parentheses. If you do, it will be treated as a function call. Notes: • • For maximum accuracy, use 1/1000 instead of .... number can introduce round-off errors. This example does not involve graphing, so you can use any Graph mode. Differential Equation... - Texas Instruments TI-89 | User Manual - Page 446

...area. Then press ¸ to autopaste it into the entry line. b) Insert the Define instruction at the beginning of the line. Then press ¸. Note: Press 2 A ...@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

...You can also use deSolve( ) to solve this problem directly. Enter: deSolve(y' = 1/1000 yù(100Ny) and y(0)=10,t,y) Troubleshooting with the Fields Graph Format If you have difficulties graphing a differential equation, this section can help you correct the problem. Many problems may be ... - Texas Instruments TI-89 | User Manual - Page 448

...see this or any other error 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

... = TIME, an Invalid axes error occurs when you graph. If you enter initial conditions in the... 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 ... - 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

..., a Diff Eq setup error occurs when you graph. In the Graph screen If no curve is ...use the Table screen to view the points for a differential equation graph. However, the table may show different equations than those graphed. The table shows only the selected equations, regardless of whether those ... - Texas Instruments TI-89 | User Manual - Page 453

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

... Table To generate a table of values for one or more functions, use the general steps shown below....refer to the following pages. Generating a Table 1. Set Graph mode and, if necessary, Angle mode (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

... in or out on the table to see different levels of detail. Change the cell width. Edit selected functions. Build or edit a manual table to show only specified values of the independent variable. • • • Setting Up the Table Parameters To set up ... - Texas Instruments TI-89 | User Manual - Page 456

... tblStart If Independent = AUTO and Graph < - > Table = OFF, this specifies the starting value ... variable. If Independent = AUTO and Graph < - > Table = OFF, this specifies the incremental value ... independent variable values that are used to graph the functions on the Graph screen. These values depend... - 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

... and close the dialog box. From the Home Screen or a Program You can set up a table's parameters from the Home screen or a program. You can: • Store values directly to the system variables ... 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

...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... scroll down or up, the variable and function names are always visible across the top... - 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 default, the cell width is 6. To change the cell width from the... - Texas Instruments TI-89 | User Manual - Page 462

..., 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. Use 3 to set the display modes. By default, Display Digits = ... - 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,... - 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

Header row shows names of independent variable (x) and selected functions (y1). Enter a value here. If you first display an automatic table and ... 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 ... - 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

...for confirmation, press ¸. Clear the entire table (but not the selected Y= functions) Cell Width and Display Formats Several factors affect how numbers are displayed in a table. From the Home Screen or a Program System variable tbl[nput contains a list of all independent ... - Texas Instruments TI-89 | User Manual - Page 468

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

...Graphing Topics Collecting Data Points from a Graph From the Graph screen, you can store sets ... can store the information as a single-row matrix (vector) on the Home screen or as data points ... that can be opened in the Data/Matrix Editor. Collecting the Points 1. Display the graph. (This example shows... - Texas Instruments TI-89 | User Manual - Page 470

...'s history area (but not the entry line) as a single-row matrix or vector. Displayed coordinates are stored in a data variable named sysData, which 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 ... - Texas Instruments TI-89 | User Manual - Page 471

... current contents of sysData, this command will not operate. Graphing a Function Defined on the Home Screen In many cases, ... Variable? On the Y= Editor, all functions must be defined in terms of the current graph mode's "native" independent variable. Graph Mode Function Parametric Polar Sequence 3D ... - Texas Instruments TI-89 | User Manual - Page 472

... select 5:Copy. 2. Display the Y= Editor, highlight the desired function, and press ¸. 3. Press ƒ and select... copy and paste, use:8 6 or 8 7 Store the expression to a Y= function name. 2x^3+3x^2N4x+12!y1...paste. Define command Define the expression as a user-defined Y= function. Define y1(x)=2x^3+3x^... - Texas Instruments TI-89 | User Manual - Page 473

...if an expression is stored to a variable or function that does not correspond to the Y= Editor, such as a1 or f1(x). 2£ Graphing Directly from the ... Use the Graph command as shown in this example: Graph 1.25xùcos(x) For function graphing, x is the native variable. Additional Graphing Topics 473 - 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 from the Home... - 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

...: 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

...when x - Texas Instruments TI-89 | User Manual - Page 478

... about similarities and differences between functions and programs, refer to Programming. A multi-statement, user-defined function can have ...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... - Texas Instruments TI-89 | User Manual - Page 479

... Home screen, you can also use the Define command to create a multistatement, user-defined function. Information is available on copying a function from the Home screen to the Y= Editor. From the Program Editor, you can create a user-defined function. For example, use the Program Editor to create a ... - Texas Instruments TI-89 | User Manual - Page 480

... Enter the expression {2,4,6} sin({1,2,3} x) and graph the functions. Graphs three functions: 2 sin(x), 4 sin(2x), ... entry line but not in the function list. Example Using the Graph Command Similarly, you can use the Graph command from the Home screen or a program. Additional Graphing Topics 480 - Texas Instruments TI-89 | User Manual - Page 481

...= SIMUL, the functions are graphed in groups 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... - Texas Instruments TI-89 | User Manual - Page 482

... are duplicated, giving you two independent graphing calculators. The two-graph mode is only available in ... the Mode Several mode settings affect the two-graph mode, but only two settings are ...Split Screen = TOP-BOTTOM or LEFT-RIGHT Number of Graphs = 2 3. Optionally, you can set the following modes.... - Texas Instruments TI-89 | User Manual - Page 483

... or left side Split 2 App = application for bottom or right side Graph 2 = Graph mode for bottom or ...two-graph screen is similar to a regular split screen. Graph 1: left or top side Thick border indicates ... Graph 2 have independent: • Graph modes (FUNCTION, POLAR, etc.). Other modes such as Angle, ... - Texas Instruments TI-89 | User Manual - Page 484

..., etc. Graph screens. Y= Editors. However, both graphs share common function and stat plot definitions. Note... the same time. Non-graph-related applications (Home screen, Data/Matrix Editor, etc.) are ... only one Y= Editor, which maintains a single function list for each Graph mode setting. However, if ... - 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

...screen. - Note: You can display non-graph-related applications (such as the Home screen.... Remember that the Two Sides Are Independent In two-graph mode, the two sides may appear... are not. For example: For Graph 1, the Y= Editor lists y(x) functions. For Graph 2, the polar graph uses r(q) equations... - Texas Instruments TI-89 | User Manual - Page 487

... function, switch(1) or switch(2). Drawing a Function or Inverse on a Graph For comparison purposes, you may want to draw a function over your current graph. Typically, the drawn ... from the Home screen or a program. You cannot draw a function or equation interactively from the Graph screen.... - 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 ... - Texas Instruments TI-89 | User Manual - Page 489

... DrawInv in the entry line, press: 2ˆ3 2. On the Home screen, specify the inverse function. 3. Press ¸. The inverse is plotted as (y,x) instead of (x,y). DrawInv y1(x) Drawing a Line, Circle, or Text Label on a Graph You can draw one or more objects on... - 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.... If you start on a black pixel, the pencil draws a white point or line (which can act as an eraser). Additional Graphing Topics 491 - 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

...line, move 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 of the ... 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 ... Line To draw a tangent line, use the ‡ Math toolbar menu. From the Graph screen: 1. Press ‡ and select A:Tangent. Additional Graphing Topics 494 - Texas Instruments TI-89 | User Manual - Page 495

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

... upper-left corner of the next character you type. From the Home Screen or a Program Commands are available for drawing any of the objects described in this section. ...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

...and display the image. This saves the image only, not the graph settings used to produce it. Saving a Picture of the Whole Graph Screen A picture includes any plotted functions, axes, tick ... bound 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

... 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 Graph screen: 1. Press ƒ ...trace any curve on a picture. For Pictures Saved from a Portion of the Graph Screen When you press ƒ and select 1:... - Texas Instruments TI-89 | User Manual - Page 500

Deleting a Graph Picture Unwanted Picture variables take up calculator memory. To delete a variable, use the VAR-LINK screen (2 °) as ... in Memory and Variable Management. From a Program or the Home Screen To save (store) and open (recall) a graph picture, use the StoPic, ... - 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,... - 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

...start with ¦. Press: 8d Note: Due to its complexity, this program takes several minutes to run. After ... if you are using the two-graph mode). All functions in the Y= Editor (8 #), including display ... and which functions are selected. Table parameters (8 &), Window variables (8 $), and graph formats:... - 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. ...is replaced. You may want to store the current graph database before opening a stored database. ... - Texas Instruments TI-89 | User Manual - Page 505

... sure to use Type=GDB. Deleting a Graph Database Unused GDB variables take up calculator memory. To delete them, use the VAR-LINK screen (2 ... Memory and Variable Management. From a Program or the Home Screen You can save (store) and open (recall) a graph database by using ... - Texas Instruments TI-89 | User Manual - Page 506

... dialog box, either: • • Use D to scroll down. - or - Press „ to display Page 2. 3. Set the Split Screen mode to 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 506 - Texas Instruments TI-89 | User Manual - Page 507

.... If you set Split 1 App and Split 2 App to the same application, the calculator exits the split screen mode and displays 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,... - 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

... TOP-BOTTOM LEFT-RIGHT Voyage™ 200: Split 1 App Split FULL TOP-BOTTOM Ratio x y... - 72 0 - 154 0 - 76 0 - 34 0 - 72 Split 2 App x y N/A 1:1 1:2 2:1 0 - 238 0 - 234 0 - 234 0 - 234 0 - 116 0- 76... 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

...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 ... status appears at the top of the Apps desktop with the names of the open Apps and the portions of the screen ... - Texas Instruments TI-89 | User Manual - Page 511

Split-screen indicator Names of open Apps Split screen indicator • • Description Top-bottom split screen 1 indicates the application that will appear in the top portion of the screen. 2 indicates the application that will appear in the bottom portion of the screen. The highlighted numeral ... - Texas Instruments TI-89 | User Manual - Page 512

...display only when that application is active. Toolbar is for Y= Editor. Thick border indicates the Y= Editor is active. Entry 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 other. Split Screens 512 - Texas Instruments TI-89 | User Manual - Page 513

...already displayed, the calculator switches to that application. Method 2: 3. Press 3 and then „. 4. Change Split 1 App ... set Split 1 App and Split 2 App to the same application, the calculator exits the split... and displays the application full screen. Note: In two-graph mode, described in Additional... - Texas Instruments TI-89 | User Manual - Page 514

...Bottom Split When you select a TOP-BOTTOM split, remember 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

..., you must understand list, data, and matrix variables. List Variable A list is a series of ... related. Each item is called an element. In the Data/Matrix Editor, a list variable Is shown as a single ... in a list variable, it is converted automatically into a data variable. Ê Data/Matrix Editor 516 - Texas Instruments TI-89 | User Manual - Page 517

...or index number) Note: After creating a list in the Data/Matrix Editor, you can use the list in any... of lists that may or may not be related. In the Data/Matrix Editor, a data variable: • • Can have up to... columns; blank or empty cells are not allowed within a column. • Data/Matrix Editor 517 - 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 existing list ... - Texas Instruments TI-89 | User Manual - Page 519

... array of elements. When you create a matrix in the Data/Matrix Editor, you must specify ... value in place of 0. Shows the size of the matrix. From the Home screen or a program, you can use ...Note: Use brackets to refer to a specific element in a matrix. For example, enter mat1[2,1] to access the 1st ... - Texas Instruments TI-89 | User Manual - Page 520

... (the variable that was displayed the last time you used the Data/Matrix Editor), or open an existing variable. Creating a New Data, Matrix, or .... Press B to display a menu of existing folders. For information about folders, refer to the Calculator Home Screen module. Folder Data/Matrix Editor 520 - Texas Instruments TI-89 | User Manual - Page 521

... the NEW dialog box is redisplayed. If Type = Matrix, type the number of rows and columns in the... you do not type a variable name, your calculator displays the Home screen. 4. Press ¸ (after ... to create and display an empty variable in the Data/Matrix Editor. Using the Current Variable You can leave... - Texas Instruments TI-89 | User Manual - Page 522

... 2. Specify the type, folder, and variable name. For a matrix, also specify the number of rows and columns....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 ... - Texas Instruments TI-89 | User Manual - Page 523

Deleting a Variable Because all Data/Matrix Editor variables are saved automatically, you can ... If you create a new variable, the Data/Matrix Editor is initially blank (for a list or data variable) ... enter additional values or edit the existing ones. The Data/Matrix Editor Screen A blank Data/Matrix ... - Texas Instruments TI-89 | User Manual - Page 524

...enter any type of expression in a cell (number, variable, function, string, etc.). 1. Move the cursor to highlight the ... next row. Variable Type List or data Matrix Right to the cell in the next column. From the last cell... row. This lets you enter values for row1, row2, etc. Data/Matrix Editor 524 - Texas Instruments TI-89 | User Manual - Page 525

...are always visible. How Rows and Columns Are Filled Automatically When you enter a value in a cell, the cursor moves to the next cell. However, you can move the cursor to any cell and enter a value. If you leave gaps between cells, your device handles the gaps automatically. Data/Matrix Editor 525 - Texas Instruments TI-89 | User Manual - Page 526

...leave a gap between columns, that column is blank. & • In a matrix variable, when you enter a value in a cell ... rows and/or columns are added automatically to the matrix to include the new cell. Other cells .... & Note: Although you specify the size of a matrix when you create it, you can easily ... - Texas Instruments TI-89 | User Manual - Page 527

... 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 ...-digit numbers, you can type the number and press ¸.) 4. Press ¸ to close the dialog box. Data/Matrix Editor 527 - Texas Instruments TI-89 | User Manual - Page 528

...select 5:Clear Column. (This item is not available for a matrix.) Press ƒ and select 8:Clear Editor....list or data variable, a clear column is empty. For a matrix, a clear column contains zeros. Defining ... one column in terms of another. Entering a Header Definition In the Data/Matrix Editor: Data/... - 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

...c1ùc2-sin(c3) Note: The seq function is described in the Technical Reference module. If ... will get an error message unless Auto-calculate = OFF. 3. Press ¸, D, or C to save the definition ... definitions are saved when you leave the Data/ Matrix Editor. For a list variable, the definitions are not ... - 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

... and data variables, the Data/Matrix Editor has an Auto-calculate feature. By default, Auto-...reflected in column 2. To turn Auto-calculate off and on from the Data/Matrix Editor: 1. Press: ƒ9 - or - 2. 8 Í Change Auto-Calculate to OFF or ON. 3. Press ¸ to close the dialog box. 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 ... on a "key" column. Sorting a Single Column In the Data/Matrix Editor: 1. Move the cursor to any cell in the ... 98 82 C1 & 75 82 & 98 chris & fred jane sally Data/Matrix Editor 535 - Texas Instruments TI-89 | User Manual - Page 536

... only a single column would destroy the relationship between the columns. In the Data/Matrix Editor: 1. Move the cursor to any cell in the "key" column. ... a function in the column header). When the cursor is in a locked column, Œ is shown at the beginning of the entry line. Data/Matrix Editor 536 - Texas Instruments TI-89 | User Manual - Page 537

... Variable You can save a copy of a list, data, or matrix variable. You can also copy a list ... Types You can copy a: List Data Data column Matrix To a: List or data Data List Matrix ... more than one column of information. Procedure From the Data/Matrix Editor: 1. Display the variable that you want to ... - Texas Instruments TI-89 | User Manual - Page 538

... can have only one column. Therefore, when copying from a data variable to a list, you must select the column that you want to copy. Ê List variable to copy to. Ê Ë Ë Data column that will be copied to the list. By default, this shows the column that contains the cursor. Data/Matrix Editor 538 - Texas Instruments TI-89 | User Manual - Page 539

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

... 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 ...Editor module for details on entering data in the Data/Matrix Editor. 3. Perform stat calculations to find stat variables or fit data ... - 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 ... - Texas Instruments TI-89 | User Manual - Page 543

...Type x Description Select the type of calculation. Type the column number in the Data/Matrix Editor (C1,...used for y values, the dependent variable. This is required for all Calculation Types except OneVar. Y Store RegEQ to If Calculation Type is a regression analysis, you can select a function name... - Texas Instruments TI-89 | User Manual - Page 544

.... Note: Any undefined data points (shown as undef) are ignored in a stat calculation. 4. To close the STAT VARS screen, press ¸. Redisplaying the STAT VARS Screen The Data/Matrix Editor's Stat toolbar menu redisplays the previous calculation results (until they are cleared from memory). @ 2‰ ... - Texas Instruments TI-89 | User Manual - Page 545

...and then reopen the Data/Matrix Editor with a data variable. Change the current folder (if the calculation referred to a list variable in the previous folder). • ... Calculate dialog box lets you specify the statistical calculation you want to perform. This section gives more information... - 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

... y-intercept) using the medianmedian line, which is part of the resistant line technique. Summary points medx1, medy1, medx2, medy2, medx3, and medy3 are calculated and stored to variables, but they are not displayed on the STAT VARS screen. Power regression - Fits the data to the model equation y=... - Texas Instruments TI-89 | User Manual - Page 548

... or more points, it is a polynomial regression. SinReg Sinusoidal regression - Calculates the sinusoidal regression and updates all the system statistics ... 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 ... - 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

... and maxX. Defining a Statistical Plot From the Data/Matrix Editor, you can use the entered data ... up to nine plots at a time. Procedure From the Data/Matrix Editor: 1. Press „ to display the Plot Setup screen... example shows all items as active. On your calculator, items are active only if they are... - Texas Instruments TI-89 | User Manual - Page 552

...Box (›), Cross (x), Plus (+), Square (0), or Dot (¦). Type the column number in the Data/Matrix Editor (C1, C2, etc.) used for x values, the ... data point. If you specify a Category, you can use this to limit the calculation to specified category values. For example, if you specify {1,4}, the plot ... - Texas Instruments TI-89 | User Manual - Page 553

... 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 ...screen is redisplayed. The plot you just defined is automatically selected for graphing. Notice the shorthand definition for the plot. Plot Type = Scatter Mark =... - 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. Highlight...; you can make changes to the existing definition. To prevent a plot from graphing, you can deselect it. Statistical Plot Types When you... - Texas Instruments TI-89 | User Manual - Page 555

... 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 ˆ 4 Statistics and Data Plots 555 - Texas Instruments TI-89 | User Manual - Page 556

... plot numbers. Use NewPlot to show statistical data as a modified box plot. Select Mod Box Plot as the Plot Type when you define a plot in the Data/Matrix Editor. A modified box plot excludes points outside the interval [Q1NX, Q3+X], where X is defined as 1.5 (Q3NQ1). These points, called outliers,... - Texas Instruments TI-89 | User Manual - Page 557

... a bar is counted in the bar to the right. xmax - xmin Number of bars 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... - Texas Instruments TI-89 | User Manual - Page 558

...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 and select stat plots from the Y= Editor. Statistics and Data Plots 558 - Texas Instruments TI-89 | User Manual - Page 559

...plots are located "off the top" of the screen, above the y(x) functions. However, the PLOTS indicator provides some ...list of stat plots, use C to scroll above the y(x) functions. If a Plot is highlighted, this shows the data ... plot as you can on any other y(x) function. Statistics and Data Plots 559... - 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: ... plot and press ...You will see the same definition screen that is displayed in the Data/Matrix Editor. Highlight the plot and press - Texas Instruments TI-89 | User Manual - Page 561

Defining the 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 ... to find the value for ymax. Note: „ 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

..., you can use any column in the Data/Matrix Editor to specify a frequency value (or weight) for ... each row. 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 number ... - Texas Instruments TI-89 | User Manual - Page 564

... Data/Matrix Editor, you can enter the test scores and frequency values ... Test scores c1 85 97 92 89 91 95 Frequency values c2 .... c1 85 97 92 Ê 92 Ê 89 91 95 Ë 95 Ë 95 Ë Ê Frequency ... the frequency column when you perform a statistical calculation or define a stat plot. For example: Statistics ... - Texas Instruments TI-89 | User Manual - Page 565

Set this to YES. Type the column number (or list name) that contains the frequency values. Note: You can also use frequency values from a list variable instead of a column. Example of a Category Column In a data variable, you can use any column to specify a category (or subset) value for the data... - Texas Instruments TI-89 | User Manual - Page 566

In the Data/Matrix Editor, you can enter the scores and the category values in two columns. Test scores c1 85 97 92 88 90 ..., 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

Set this to YES. Type the column number (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:... - Texas Instruments TI-89 | User Manual - Page 568

... itself. You must then retrieve the data (transfer it to the TI-89 Titanium) by using the Get command, which is described in ...variables makes it easier to perform statistical calculations. When you transfer the collected information to the TI-89 Titanium, you can specify the list variable names that ... - 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 2... - Texas Instruments TI-89 | User Manual - Page 570

• From the Home screen or a program, use the NewData command. NewData dataVar, list1 [,list2 ] [,list3 ] ...CBL 2 list variable ... variable called temp1 in which time is in column 1 and temp is in column 2. • From the Data/Matrix Editor, create a new, empty data variable with the applicable name.... - 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

... 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 of the program. 2. You must always type a set of parentheses after the ... a variable and press ¸ to paste its name to the entry line. 3. Press ¸. Programming 572 - Texas Instruments TI-89 | User Manual - Page 573

Note: Arguments 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 ... - Texas Instruments TI-89 | User Manual - Page 574

...program execution, press N. • Where Is the Output Displayed? Depending on the commands in the program, the TI-89 Titanium automatically displays information on the applicable... use the Graph screen. After the program stops, the TI-89 Titanium shows the last screen that was displayed. The Program ... - 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. ... - Texas Instruments TI-89 | User Manual - Page 576

... Session Each time you start the Program Editor, you can resume the current ... 3:New. 3. Specify the applicable information for the new program or function. Item Type Folder Lets ... in which the new program or function will be stored. For information about folders, refer to the Calculator Home Screen ... - Texas Instruments TI-89 | User Manual - Page 577

... can now use the Program Editor as described in the remaining sections of this module. Note: A program (or function) is saved automatically as you type. You do not need to save it manually before leaving the Program Editor, starting a new program, or opening a previous ... - Texas Instruments TI-89 | User Manual - Page 578

... Program Editor To leave the current program or function and start a new one: 1. Press ƒ and ... Specify the type, folder, and variable for the new program or function. 3. Press ¸ twice. Opening a... can open a previously created program or function at any time. 1. From within the Program Editor, press ... - Texas Instruments TI-89 | User Manual - Page 579

... In some cases, you may want to copy a program or function so that you can edit the copy while retaining the original. 1. Display the program or function you want to copy. 2. Press ƒ and ..., you can accumulate quite a few previous programs and functions, which take up memory storage space... - Texas Instruments TI-89 | User Manual - Page 580

... editing commands. Use 8 C or 8 D to go to the top or bottom of a program, respectively. You enter and edit program... Text Editor module. After typing each program line, press ¸. This inserts a new blank... command. It is not executed until you run the program. Entering Multi- Command Lines To enter ... - Texas Instruments TI-89 | User Manual - Page 581

... :Request "Enter an integer",n 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 -... - Texas Instruments TI-89 | User Manual - Page 582

... Then : Disp "x is > 5" :Else : Disp "x is < or = 5" :EndIf Displaying Calculated Results In a program, calculated results are not displayed unless you use ... an important difference between performing a calculation on the Home screen and in a program. These calculations will not display a result in ... - Texas Instruments TI-89 | User Manual - Page 583

Displaying a calculation result does not store that result. If you need to refer to... Program To input values into a program, you can: • Require the users to store a value (with §) to the necessary ... necessary values when they integer",n run the program. Require the users to pass one or more values ... - Texas Instruments TI-89 | User Manual - Page 584

Example of Passing Values to a Program The following program draws a circle on the Graph screen and ...passed values. Notice that the program also contains commands that set up the Graph screen. :circ(x,y,r)... drawing the circle, the program turns off any selected Y= Editor functions, displays a standard... - Texas Instruments TI-89 | User Manual - Page 585

... 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. Then you can reuse it as many times as necessary. Functions, ... - 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 ... - 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 • Can refer to ... available. Entering a Function When you create a new function in the Program Editor, the TI-89 Titanium displays a blank "template." Note: Use ... - Texas Instruments TI-89 | User Manual - Page 588

... input.) How to Return a Value from a Function There are two ways to return a value 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

... and returning a value at some point other than the end of the function. :cube(x) :Func :If x - Texas Instruments TI-89 | User Manual - Page 590

...they are not affected by any existing x or y variable. Function as defined in the Program Editor Function as called from the Home Screen 3!x:125!y 4n.. (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... - Texas Instruments TI-89 | User Manual - Page 591

... To call a separate program, use the same syntax used to run the program from the Home screen. :subtest1() :Prgm :For i,1,4,1 : subtest2(i,iù1000) :EndFor :... must be defined before it can be called, it is a good practice to define subroutines at the beginning of the main program. Programming 591 - Texas Instruments TI-89 | User Manual - Page 592

An internal subroutine is called and executed in the same way as a separate program. :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... - Texas Instruments TI-89 | User Manual - Page 593

... programs in which they are located. Therefore, a Goto command in the calling program cannot branch to a label in a subroutine or vice versa. Using ... names that are created Variables automatically to store data about the state of the calculator. For example, Window variables (xmin, xmax, ymin, ymax,... - Texas Instruments TI-89 | User Manual - Page 594

... Name) Folder Variables Variables that are stored in a particular folder. • • After the program stops, any folder variables created by the ..., local variables are deleted automatically. • • • To create a local variable in a program, use the Local command to declare the variable. A local ... - Texas Instruments TI-89 | User Manual - Page 595

Note: If a program has local variables, a graphed function cannot access them....Circular Definition Errors When evaluating a user-defined function or running a program, you can specify ... the same variable that was used to define the function or create the program. However, to avoid Circular definition ... - Texas Instruments TI-89 | User Manual - Page 596

..., Window Editor, etc. Copies the contents of a variable. Defines a program (subroutine) or function variable within a program. Deletes a folder. All variables in that folder must be deleted first. ... DelFold DelType DelVar getFold getType isArchiv() isLocked() isVar() Local Programming 596 - Texas Instruments TI-89 | User Manual - Page 597

... lists. Creates a new folder. Creates a picture variable based on a matrix. Renames a variable. Moves specified variables from user data archive memory to RAM. Unlocks a locked variable. Note: The Define, DelVar, and Local commands are available from the Program Editor's - Texas Instruments TI-89 | User Manual - Page 598

... error message displays when you evaluate a user-defined function or run a user-defined program that references a local variable that is not initialized (assigned a value). This example is a multi-statement function, rather than a program. Line breaks are shown here, but you ... - 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. However, you must be certain that the global variable does not already exist outside of the ... - Texas Instruments TI-89 | User Manual - Page 601

...." In programming, strings allow the program to display information or prompt the user to perform some action. For example: Disp "... 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

... module for syntax for all commands and functions. Command # & char dim expr Description .... This is the opposite of the string command. Important: Some user input commands store the entered value as a... a string. This is the opposite of the char command. format inString left mid ord Programming 602 - Texas Instruments TI-89 | User Manual - Page 603

...string Conditional Tests Conditional tests 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 ......EndIf and loops such as While...EndWhile (described later in this module). Programming 603... - Texas Instruments TI-89 | User Manual - Page 604

...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 „ ... to Less than or equal to Equal Not equal to Example a>8 a - Texas Instruments TI-89 | User Manual - Page 605

... is false Example a>0 and a{10 a{0 or b+c>10 a+62). Programming 605 - Texas Instruments TI-89 | User Manual - Page 606

Using If, Lbl, and Goto to Control Program Flow An If...EndIf structure uses a conditional ...also be used to branch (or jump) from one place to another in a program. F2 Control Toolbar Menu To enter If...EndIf structures, use the Program Editor's „ Control toolbar menu. The If command is available ... - Texas Instruments TI-89 | User Manual - Page 607

... displays the value of x. In this example, you must store a value to x before executing the If command. Note: Use indentation to make your programs easier to read and understand. If...Then...EndIf Structures To execute one group of commands if a conditional test is true, use the structure: :If x>5 ... - Texas Instruments TI-89 | User Manual - Page 608

Note: EndIf 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 ... - Texas Instruments TI-89 | User Manual - Page 609

... can also control the flow of your program by using Lbl (label) and Goto ... to label (assign a name to) a particular location in the program. Lbl labelName name to assign to this location... use the Goto command at any point in the program to branch to the location that corresponds to the specified label... - Texas Instruments TI-89 | User Manual - Page 610

... number was > 5" Ê If x>5, branches directly to label GT5. Ë For this example, the program must include commands (such as Stop) that prevent Lbl GT5 from ... test. F2 Control Toolbar Menu To enter most of the loop-related commands, use the Program Editor's „ Control toolbar menu. Programming 610 - Texas Instruments TI-89 | User Manual - Page 611

... 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 time For is executed exits the loop when variable exceeds this value added to the counter each subsequent time For is executed Programming 611 - Texas Instruments TI-89 | User Manual - Page 612

... Note: The For command automatically increments the counter variable so that the program can exit the loop after a certain number of repetitions. At the end of the loop (EndFor), program control jumps back to the For command, where variable is incremented and compared to ... - Texas Instruments TI-89 | User Manual - Page 613

... condition is true, the loop is executed; otherwise, program control jumps to the command following EndWhile.... can build the values into the program or prompt the user to enter the values.) The loop must.... Otherwise, the condition is always true and the program cannot exit the loop (called an infinite... - Texas Instruments TI-89 | User Manual - Page 614

... x. Ë Displays 0, 1, 2, 3, and 4. Ì Increments x. Í Displays 5. When x increments to 5, the loop is not executed. Loop...EndLoop Loops A Loop...EndLoop creates an infinite loop, which is repeated endlessly. The Loop command does not have any arguments. :Loop EndLoop :-------- Programming 614 - 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). ... only if the condition is true. The If command could also use a Goto command to transfer program control to a specified Lbl (label) command. Programming 615 - Texas Instruments TI-89 | User Manual - Page 616

... 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, the Program Editor's Mode toolbar menu makes it easy to enter the... - Texas Instruments TI-89 | User Manual - Page 617

...setTable 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 ... setTable( ) functions do not translate into other languages when used in a program. See... - Texas Instruments TI-89 | User Manual - Page 618

... syntax is inserted into your program. :setMode("Graph","FUNCTION") Getting Input from the User and Displaying Output Although values can... while the program is running. Likewise, a program can display information such as the result of a calculation. F3 I/O Toolbar Menu To enter most of the commonly ... - 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

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

...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. ...The redefined toolbar is in effect only while the program is running and only until the user selects an item. Then ... - Texas Instruments TI-89 | User Manual - Page 622

...menu feature lets you 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 can modify or redefine. Programming 622 - Texas Instruments TI-89 | User Manual - Page 623

... you create a custom menu, you can let the user turn it on and off manually, or you can let a program turn it on and off automatically. To: Turn on ... line. 2. Press ¸. You can also use CustmOff in a program. CustmOff Note: When the custom menu is turned on, it replaces the ... - Texas Instruments TI-89 | User Manual - Page 624

..." Ê Ê Ê :Title "f(x)" :Item "f(x)":Item "g(x)":Item "f(x,y)":Item "g(x,y)" :Item "f(x+h)":Item "Define f(x) =" :Title "Solve" :Item "Solve(":Item " and ":Item "{x,y}" :Item "Solve( and ,{x,y})" Programming 624 - Texas Instruments TI-89 | User Manual - Page 625

...The following 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. ... custom default (as described below) to get the commands for the default menu. Copy those commands, use the Program Programming 625 - Texas Instruments TI-89 | User Manual - Page 626

...a new program, and paste them into the blank program. Then modify the commands as necessary. Note: This ... time. If you need more, write a separate program for each custom menu. Then run the program ..., any previous custom menu is erased. If the previous menu was created with a program, you can run the ... - Texas Instruments TI-89 | User Manual - Page 627

.... Table Graphing Commands Command ClrGraph Define DispG FnOff FnOn Description Erases... or expressions that were graphed with the Graph command. Creates a user-defined function. Displays the current... all (or only specified) Y= functions. Selects all (or only specified) Y= functions. Programming 627... - Texas Instruments TI-89 | User Manual - Page 628

... (Coordinates, Graph Order, etc.). Sets the Graph mode, as well as other modes. Sets the display style for a function. Lets a program trace a graph. Perform all of the Zoom operations that are available from the „ toolbar menu on the Y= Editor, Window Editor, ... - Texas Instruments TI-89 | User Manual - Page 629

... graph pictures. Creates a graph picture variable based on a matrix. Restores all settings stored in ... picture by using XOR logic. Note: For information about graph pictures and databases, also refer to... you can use either of two coordinate systems to specify a location on the screen. Programming 629 - Texas Instruments TI-89 | User Manual - Page 630

... window) Note: For information about pixel coordinates in split screens, refer to the Data/Matrix Editor module. Many drawing commands have two forms: one for ... 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

... Lines and Circles Command Circle or PxlCrcl DrawSlp Line or PxlLine Description Draws, erases, or inverts a circle with a specified center and radius. Draws a line with a specified slope through a specified point. Draws, erases, or inverts a line between two sets of coordinates. Programming 631 - Texas Instruments TI-89 | User Manual - Page 632

... 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 expression1 < expression2. Programming 632 - Texas Instruments TI-89 | User Manual - Page 633

... on both units can transmit variables between them. If you link a TI-89 Titanium to a Calculator-Based Laboratory™ (CBL 2™) or a Calculator-Based Ranger™ (CBR™), a program on the TI-89 Titanium can access the CBL 2 or CBR. F3 I/O Toolbar Menu Use ... - 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 ...2 or CBR unit. Command Get Description Gets a variable from an attached CBL 2 or CBR and stores it in the graphing calculator. Programming 634 - Texas Instruments TI-89 | User Manual - Page 635

... Send Description Sends a list variable from the graphing calculator to the CBL 2 or CBR. Debugging Programs and Handling Errors After you write a program...-Time Errors The first step in debugging your program is to run it. The graphing calculator automatically checks each executed ... - Texas Instruments TI-89 | User Manual - Page 636

...Disp and Pause cannot be used in a user-defined function. To temporarily change the function into a program, change Func and EndFunc to Prgm and EndPrgm. ... remove Disp and Pause and change the program back into a function. • • • To confirm that a loop is executed the correct... - Texas Instruments TI-89 | User Manual - Page 637

... :Text "The answer is "&string(temp) :EndPrgm Ê Prompts for input on Program 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

...prog2() :Prgm :Prompt n :0!temp:1!I :Lbl top : temp+i!temp : i+1!I : If i{n : Goto top :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 as a... - Texas Instruments TI-89 | User Manual - Page 639

... to create dialog boxes for input and output. It uses Loop...EndLoop to calculate the result. :prog3() :Prgm :Dialog : Title "Enter an integer" : Request...box for input. 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() :Prgm Ê :Input "Enter an integer",n Ë :sum(seq(i,i,1,n))!temp Ì :Disp temp :EndPrgm Ê Prompts for input on Program I/O. Ë Calculates sum. Ì Displays output on Program I/O screen. Note: ... - Texas Instruments TI-89 | User Manual - Page 641

...or features that are not built into the TI-89 Titanium. Check the Texas Instruments web site for ... instructions, see education.ti.com/guides. Note about TI-GRAPH LINK If you have a TI-GRAPH LINK™ computer-to-calculator cable and software for the TI-89 or TI-92 Plus, be aware that the TI-GRAPH LINK ... - Texas Instruments TI-89 | User Manual - Page 642

You can purchase computer-to-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 ... - Texas Instruments TI-89 | User Manual - Page 643

... or rename the existing program 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 ... - Texas Instruments TI-89 | User Manual - Page 644

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

... Description Automatically 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 select a folder. 645 ... - Texas Instruments TI-89 | User Manual - Page 646

... as described in the remaining sections of this module. Note: Your session is saved automatically as you type. You do not need to save a session manually before leaving the Text Editor, starting a new session, or opening a previous one. Resuming the Current Session You can leave the Text Editor and... - Texas Instruments TI-89 | User Manual - Page 647

Starting a New Session from the Text Editor To leave the current Text Editor session and start a new one: 1. Press ƒ and select 3:New. 2. Specify a folder and text variable for the new session. 3. Press ¸ twice. Opening a Previous Session You can open a previous Text Editor session at any time. ... - Texas Instruments TI-89 | User Manual - Page 648

Copying a Session In some cases, you may want to copy a session so that you can edit the copy while retaining the original. 1. Display the session you want to copy. 2. Press ƒ and select 2:Save Copy As. 3. Specify the folder and text variable for the copied session. 4. Press ¸ twice. Note about ... - Texas Instruments TI-89 | User Manual - Page 649

... screen. Using a USB cable and TI Connect™ software with the TI-89 Titanium, you can use the ...a text file and then send that file to the TI-89 Titanium. This is useful if you need to create... the TI web site at education.ti.com, or contact Texas Instruments at TI-Cares™. Notes: • Use the cursor... - Texas Instruments TI-89 | User Manual - Page 650

... ) @ j (turns off upper- and lowercase lock) Note: On the TI-89 Titanium, you do not need j or alpha-lock to ... 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 going from the Text ... - 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

Cutting, 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

...from the keyboard. It also shows some shortcuts for other calculator features. The keyboard map does not display all ... 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... - Texas Instruments TI-89 | User Manual - Page 657

...the TI-89 Titanium shortcuts, first press the ¹ key. TI-89 Titanium keyboard map feature shortcuts: GREEK (¹ c) - Accesses the Greek character set (described later ... if an error message is displayed. When you turn the TI-89 Titanium on again, it will be exactly as you left it. • ... - Texas Instruments TI-89 | User Manual - Page 658

... Symbols 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 ... - 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

...to a full screen Text Editor You can also use 3 to set up a split screen manually. However, ...sets up a Text Editor/Home screen split much easier than 3. •...Editor is the active application.) To switch between the Text Editor and the Home screen, press 2 a (second function of O). Text Editor 663 - 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 screen... - 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 2:Save ... - 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 appears alphabetically in the list. Defining the Known Variables After you type an equation in the Numeric Solver, enter the applicable values for all variables except the ... - 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

...system variable's existing value. Note: You cannot solve for a system variable other than exp. ... contains a system variable, you cannot use ...to graph. • Although you can use a system variable ... equation, an error occurs if you use ...to graph the solution. In the standard viewing window, xmax=10... - Texas Instruments TI-89 | User Manual - Page 673

... 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 variable without parentheses. Editing the Equation For example, y1(x) is undefined and you use y1. In the Numeric Solver, press ... - Texas Instruments TI-89 | User Manual - Page 674

... one. Note: You can also select an initial guess graphically. Solving for the Unknown Variable After you type an equation in the Numeric Solver and enter values for the known variables, you are ready to solve for the unknown variable. Finding the Solution With all known variables defined: 1. ... - Texas Instruments TI-89 | User Manual - Page 675

Note: To stop (break) a calculation, press ´. The unknown variable shows the value being tested when the break occurred....You can graph an equation's solutions any time after defining the known variables, either before or after you solve for the unknown variable. By graphing the solutions, you can ... - 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 on the x axis. leftNrt is plotted on the y axis. The current graph format settings are used. Solutions for the equation exist at ... - Texas Instruments TI-89 | User Manual - Page 677

...moving cursor, tracing, zooming, etc., as described in Basic Function Graphing. How the Graph Affects Various Settings When you use the ... mode settings, you will need to reselect those settings manually. • • All stat plots are deselected. After you leave the Numeric Solver, the Graph screen may ... - 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 the cursor is on the unknown ... - Texas Instruments TI-89 | User Manual - Page 679

Clearing Variables Before Leaving the Numeric Solver When you solve an equation, its variables still exist after you leave the Numeric Solver. ... single-character variables, their values may inadvertently affect later symbolic calculations. Before leaving the Numeric Solver, you may want to: 1. Press:... - Texas Instruments TI-89 | User Manual - Page 680

Number Bases Entering and Converting Number Bases Regardless of the Base mode, you must always use the appropriate prefix when entering a binary or hexadecimal number. Entering a Binary or Hexadecimal Number To enter a binary number, use the form: 0b binaryNumber (for example: 0b11100110) Binary ... - Texas Instruments TI-89 | User Manual - Page 681

Converting between Number Bases Use the 4 conversion operator integerExpression 4 Bin integerExpression 4 Dec integerExpression 4 Hex For 4, press 2 4. Also, you can select base conversions from the MATH/Base menu. For example, to convert 256 from decimal to binary: 256 4 Bin Note: If your entry ... - Texas Instruments TI-89 | User Manual - Page 682

2. From the Home screen, type the number that you want to convert (using the correct prefix) and press ¸. If Base mode = HEX: Performing Math Operations with Hex or Bin Numbers For any operation that uses an integer number, you can enter a hexadecimal or binary number. Results are displayed ... - Texas Instruments TI-89 | User Manual - Page 683

The Base mode controls the displayed format of integer results only. Note: The Base mode affects output only. You must always use the 0h or 0b prefix 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 = ... - Texas Instruments TI-89 | User Manual - Page 684

... Any number greater than 0h7FFFFFFF is affected. For example, 0h80000000 through 0hFFFFFFFF become negative numbers. Comparing or Manipulating Bits The following operators and functions let you compare or manipulate bits in a binary number. You can enter an integer in any number base. Your entries ... - Texas Instruments TI-89 | User Manual - Page 685

Operator with syntax integer1 and integer2 Description In a bit-by-bit and comparison, the result is 1 if both bits are 1; otherwise, the result is 0. The returned value represents the bit results. In a bit-by-bit or comparison, the result is 1 if either bit is 1; the result is 0 only if both bits... - Texas Instruments TI-89 | User Manual - Page 686

... a symmetric modulo operation brings the value into the range. The result is displayed according to the Base mode. Rotating and Shifting Bits Function with syntax rotate(integer) - or - rotate(integer,#ofRotations) Description If #ofRotations is: • • • omitted - bits rotate once to the right ... - 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. In... - 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

... Screen 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

... 1:Archive: Resetting Archive erases all data and programs from Flash ROM. 2:Flash Apps: Resetting Flash Apps erases all ..., 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

..., you can manipulate the variables and/or folders. Displaying the VAR-LINK Screen Press 2 °. By default, the VAR-LINK screen 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 ... - 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

... EXPR FUNC GDB LIST MAT PIC PRGM STR TEXT Description 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 ... - Texas Instruments TI-89 | User Manual - Page 694

... if a variable with a given name exists in the system table, Enter the IsVar() function on the Home screen. IsVar (var_name) IsVar is a function, which .... • • To determine if a variable is archived, use the IsArchiv() function. IsArchiv (var_name) To determine if a variable is locked, use the ... - Texas Instruments TI-89 | User Manual - Page 695

...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 ... - Texas Instruments TI-89 | User Manual - Page 696

...folder 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 ... - Texas Instruments TI-89 | User Manual - Page 697

... independent 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 ... - 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

Setting the Current Folder from the Home Screen Enter the setFold function on the Home screen. setFold (folderName) setFold is a function, which requires you to enclose the folder name in parentheses. When you execute setFold, it returns the name of the ... - Texas Instruments TI-89 | User Manual - Page 700

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

For example: If Current Folder = MAIN Folders and Variables MAIN a=1 f(x)=x³+x²+x MATH a=42 f(x)=3x²+4x+25 To see a list of existing folders and variables, press 2 °. On the VAR-LINK screen, you can highlight a variable and press ¸ to paste that variable name to the open application's ... - Texas Instruments TI-89 | User Manual - Page 702

From the VAR-LINK screen: 1. Press „ View. 2. Highlight the setting you want to change, and press B. This displays a menu of valid choices. (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 ... - Texas Instruments TI-89 | User Manual - Page 703

Copying or Moving Variables from One Folder to Another You must have at least one folder other than MAIN. You cannot use VAR-LINK to copy variables within the same folder. 1. On VAR-LINK, select the variables. 2. Press ƒ Manage and select 2:Copy or 4:Move. 3. Select the destination folder. 4. ... - 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

... stored in that folder. • • To delete a variable, enter the DelVar command on the calculator Home screen. DelVar var1 [, var2] [, var3] ... To delete all variables of a specific type, enter the DelType command on the calculator Home screen. DelType var_type where var_type is the variable type... - Texas Instruments TI-89 | User Manual - Page 706

• • Home screen, Y= Editor, Table Editor, or Data/Matrix Editor - The cursor must be on the entry line. Text Editor, Window Editor, Numeric Solver, or Program Editor - The cursor can be anywhere on the screen. You can also paste a variable name to the ... - Texas Instruments TI-89 | User Manual - Page 707

... future use. 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 ... - 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

... may fail if there is not enough memory. Can alert you when a program is caught in a loop that repetitively fills the user data archive. Cancel the archive and investigate the reason. Why Is Garbage Collection Necessary? The user data archive is divided into sectors. When you ... - Texas Instruments TI-89 | User Manual - Page 711

.... Note: Garbage collection occurs when the variable you are archiving is larger than any empty block. How Unarchiving a Variable Affects the Process When you unarchive a variable, it is copied to RAM but it is not actually deleted from user data archive memory. Memory and Variable Management 711 - 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 ... - Texas Instruments TI-89 | User Manual - Page 713

... Collection Process The garbage collection process: • • Deletes unarchived variables from the user data archive. Rearranges the remaining variables into consecutive blocks. v a ... variable. This may cause you to ask, "If the variable is in the user data archive, why does it matter how much RAM is ... - Texas Instruments TI-89 | User Manual - Page 714

... 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 the copy from RAM when the program is ... - 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

Connectivity Connecting Two Units The TI-89 Titanium comes with a cable that lets you connect two units. Once ... two units. A USB unit-to-unit cable is included with the TI-89 Titanium; use the calculator's USB port with this cable. Note: The TI-89 Titanium features both a USB port and an I/O port, so... - 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

... between 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 ... - Texas Instruments TI-89 | User Manual - Page 721

- If selecting a Flash 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 ... - Texas Instruments TI-89 | User Manual - Page 722

... screen is updated on the receiving unit. Note: Before transferring a purchased App, the receiving unit 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 ... - Texas Instruments TI-89 | User Manual - Page 723

Locked variables that have the same name on both the sending and receiving units must be unlocked on the receiving unit before they can be overwritten from the sending unit. If archived variables have the same names on both the sending and receiving units, a message asks you to confirm that you ... - Texas Instruments TI-89 | User Manual - Page 724

Canceling a Transmission From either the sending or receiving unit: 1. Press ´. An error message is displayed. 2. Press N or ¸. Common Error and Notification Messages Shown on: Sending unit Message and Description: This is displayed after several seconds if: • • A cable is not attached to ... - Texas Instruments TI-89 | User Manual - Page 725

Shown on: Sending unit Message and Description: The receiving 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 Overwrite to NO. The receiving unit has a variable with the same name as ... - Texas Instruments TI-89 | User Manual - Page 726

Shown on: Receiving unit Message and Description: The receiving unit does not have enough memory for what is being 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... - Texas Instruments TI-89 | User Manual - Page 727

...information about available Flash applications, check the Texas Instruments Web site at education.ti.com. Many... and/or certificate from the Texas Instruments Web site to a computer, and use a TI Connectivity... or certificate on your TI-89 Titanium. For Flash App installation instructions, see education... - Texas Instruments TI-89 | User Manual - Page 728

... to 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

... Notes: Ê Sets up this unit to receive and display the variable msg. Ë Then 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 ... - Texas Instruments TI-89 | User Manual - Page 730

... unit executes GetCalc while the sending unit is waiting for the user to enter a message. Running the Program This procedure assumes that: • • The two devices are linked with the connecting cable. The Chat program is loaded on both devices. Use each device's Program Editor to ... - Texas Instruments TI-89 | User Manual - Page 731

... (OS) You can upgrade the OS on your TI-89 Titanium using your computer. You can also ... unit to another identical model (for example, from a TI-89 Titanium to a TI-89 Titanium or from a Voyage™ 200 to a ... an OS download. If you are operating your TI-89 Titanium in a language other than English, you ... - Texas Instruments TI-89 | User Manual - Page 732

...upgrade, the installation process Deletes all user-defined variables (in both RAM and the user data archive), functions, programs, and folders. Could delete all Flash applications. Resets all system variables and modes to their original factory settings. ... - Texas Instruments TI-89 | User Manual - Page 733

... USB computer cable to install the OS or application on your TI-89 Titanium. For complete information, refer to ...System OS software will transfer only from a TI-89 Titanium to a TI-89 Titanium, TI-89 to ...two like units together, for example, a TI-89 Titanium to a TI-89 Titanium; or a Voyage™ 200 to ... - Texas Instruments TI-89 | User Manual - Page 734

...unit shows how the transfer is progressing. When the transfer is complete: • • The sending unit returns to the VAR-LINK screen. The receiving unit 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 ... - Texas Instruments TI-89 | User Manual - Page 735

... 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 transfer. The current OS ... - Texas Instruments TI-89 | User Manual - Page 736

...allows collection of electronic ID numbers from individual TI-89 Titanium, TI-89, Voyage™ 200, or... applications. After the IDs are collected, transmit them to Texas Instruments so a group certificate can be... allows distribution of purchased software to multiple TI-89 Titanium, TI-89, Voyage™ 200, ... - 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 the: 1. 2. Collecting unit (Receiving unit) Sending unit Do this: Display the Home screen. Press:" a. Press 2 ° to display the VAR-LINK screen. b. Press ... - 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, with a ... - Texas Instruments TI-89 | User Manual - Page 739

...TI-89 Titanium has more memory (more room for Apps and user archive) and the TI-89 Titanium has a USB port. The Voyage™ 200 is the same ...All data is compatible among the TI-89 Titanium, TI-89, Voyage™ 200, 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 Apps... - 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 a building. Find the maximum length pole that can be moved around the corner without tilting the pole. Maximum Length of Pole in Hallway The maximum length of a pole c is the shortest... - Texas Instruments TI-89 | User Manual - Page 742

...a = 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 the minimum value of c(w). 5. Compute the exact maximum length of the pole. Enter: c (2 ±) 6. Compute the approximate maximum length of the ... - Texas Instruments TI-89 | User Manual - Page 744

... equation: ax2+bx+c=0. 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

... the last answer (2 ±) as in step 3 in steps 4 through 9. 5. Use the expand( ) function to expand the result of the last answer. 6. Complete the square ...to both sides of the equation. 7. Factor the result using the factor( ) function. 8. Multiply both sides of the equation by 4a2. Activities ... - Texas Instruments TI-89 | User Manual - Page 746

... 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 ... two general quadratic solutions due to the constraint in step 9. Exploring a Matrix This activity shows you how to perform several matrix operations.... - Texas Instruments TI-89 | User Manual - Page 747

...a 3x3 Matrix Perform these steps to generate a random matrix, augment and find the identity matrix, 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 ... - Texas Instruments TI-89 | User Manual - Page 748

4. Solve for the value of x that will cause the inverse of the matrix to be invalid. Enter: solve(getDenom( 2 ± [1,4] )=0,x) Result: x= L70/17 Note: Use the cursor in the history area to scroll the result. Exploring cos(x) = sin(x) This ... - Texas Instruments TI-89 | User Manual - Page 749

...find the other intersections.) Method 2: Symbolic Manipulation Perform the following steps to 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( ... - Texas Instruments TI-89 | User Manual - Page 750

... Manipulation and 3D Graphing. Exploring a 3D Graph of the Surface Area of a Parallelepiped Perform the following steps to define a function for the surface area of a parallelepiped, draw a 3D graph, and use the Trace tool to find a point close to the ... - Texas Instruments TI-89 | User Manual - Page 751

...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 ...value of the surface area function. Finding the Minimum Surface Area Analytically Perform the following steps to solve the problem analytically on the Home screen. 1. Solve for x... - Texas Instruments TI-89 | User Manual - Page 752

2. Find the minimum surface area when the value of v equals 300. Enter: 300!v Enter: sa(v^(1/3), v^(1/3),v) Note: Press ¸ to obtain the exact result in symbolic form. Press 8 ¸ to obtain the approximate result in decimal form. Running a Tutorial Script Using the Text Editor This activity shows ... - Texas Instruments TI-89 | User Manual - Page 753

...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 commands is the maximum value of the function. The smallest number is the minimum value. C C C C C C 3. Press ...and select 1:Script view to show the Text Editor and the Home screen on a split... - Texas Instruments TI-89 | User Manual - Page 754

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

Decomposing a Rational Function 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 and store it in a function f(x). Enter: (x^3N10x^2Nx+50)/(xN2)!f(x) Note: Actual entries are ... - Texas Instruments TI-89 | User Manual - Page 756

... Y= Editor, select the thick graphing 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: ...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

... represented by the quadratic quotient y2(x). The rational expression is basically a 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: Filtering ... - Texas Instruments TI-89 | User Manual - Page 758

... on the student's sex and academic year (freshman, sophomore, junior, or senior). The data (weight in pounds) 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 girls Sophomore ... - 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

...: Plot 2: {1,2} (freshman boys, girls) Plot 3: {7,8} (senior boys, girls) Plot 4: {1,3,5,7} (all boys) Plot 5: {2,4,6,8} (all girls) 8. In the Y= Editor, deselect any functions that may be selected from a previous activity. Note: Only Plot 1 through Plot 5 should be selected. Activities 760 - Texas Instruments TI-89 | User Manual - Page 761

...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 "Newton's... - 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

... 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™ system (CBR™) to explore the mathematical and scientific relationships between distance, velocity, acceleration... - 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 ... the cubic polynomial (xN1)(xNi)(x+i), find the absolute value of the function, graph the modulus surface, and use the Trace tool to... - Texas Instruments TI-89 | User Manual - Page 767

3. Use the abs( ) function to find the absolute value of f(x+yi). (This calculation may take about 2 minutes.) Note: The absolute value of a function forces any roots to ... the modulus surface. 5. Set the unit to 3D graph mode, turn on the axes for graph format, and set the Window ... - Texas Instruments TI-89 | User Manual - Page 768

6. In the Y=Editor, press: 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... - Texas Instruments TI-89 | User Manual - Page 769

10. Use the Trace tool to explore the function values at x=0 and y=L1. Summary Note that zc is zero for each ...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... - Texas Instruments TI-89 | User Manual - Page 770

...rate (i) of 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.... - 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

...=0,#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

Finding the Monthly Payment Find the monthly payment on 10,000 if you make 48 payments at 10% interest per year. On the Home screen, enter the tvm values to find pmt. Result: The monthly payment is 251.53. Finding the Number of Payments Find the number of payments it will take to pay off the loan ... - 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

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

...color, n2 balls of a second color, n3 balls of a third color, etc. Simulate drawing balls without replacing them. 1. Enter a random seed using...2. Assuming the urn contains 10 red balls and 25 white balls, simulate picking 5 balls at random from the urn without replacement. Enter drawball({10,25},5). ... - Texas Instruments TI-89 | User Manual - Page 777

a mph Eastward Traveling Current Intended Path river bank Boat Actual Path 1. Set the modes for Page 1 as shown in this screen. (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 Display Digits option, select... - Texas Instruments TI-89 | User Manual - Page 778

...for the speed of the boat. Enter: [20,80¡]!i [a,0¡]!c [b,60°]!r Vectors are commonly written in either polar or rectangular form, so it is useful to convert polar vectors into rectangular form. 4. Define function p2r. Enter: Define p2r(x)=[x[1,1]*cos(x[1,2]), x[1,1]*sin(x[1,2])] Activities 778 - 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 ... - Texas Instruments TI-89 | User Manual - Page 781

...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 applications (Apps) for functions and instructions specific to those Apps. Name of the ... - 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

...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

...) ⇒ expression abs(list1) ⇒ list abs(matrix1) ⇒ matrix abs({p/2,ëp/3}) ¸ abs(2ì3i) ¸ abs...⇒ Boolean list Boolean matrix1 and matrix2 ⇒ Boolean matrix x,3 and x,4 ¸ x,4 {x,3,... 0b prefix). A hexadecimal entry can have up to 8 digits. 786 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 787

... CATALOG AndPic picVar[, row, column] In function graphing mode and Y= Editor: y1(x)... As...Type = Picture, Variable = PIC1 Displays the Graph screen and logically "ANDS" the picture ... number that represents a twodimensional rectangular coordinate point. Appendix A: Functions and Instructions 787... - Texas Instruments TI-89 | User Manual - Page 788

...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) ⇒ list - Texas Instruments TI-89 | User Manual - Page 789

augment() MATH/Matrix menu augment(list1, list2) ⇒ list Returns a new list ...(M1;M2) ¸ [3 4] 1 2 5 1 2 5 Returns a new matrix that is matrix2 appended to matrix1. When the "," character is used, ... is used to bring the value into the appropriate range. Appendix A: Functions and Instructions 789 - Texas Instruments TI-89 | User Manual - Page 790

...current data variable. The incremental values used 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 ... - Texas Instruments TI-89 | User Manual - Page 791

...(integer) ⇒ 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 ... - Texas Instruments TI-89 | User Manual - Page 792

...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 can clear all drawn items (such as lines and points)... - Texas Instruments TI-89 | User Manual - Page 793

.... (See Graph or Table.) Any previously selected Y= functions will be graphed the next time that the graph is displayed. ClrHome CATALOG ClrHome Clears all items ...((y^2+y)/(x+1)^2+y^2+y) ¸ a fully expanded numerator over a fully expanded denominator. Appendix A: Functions and Instructions 793 - Texas Instruments TI-89 | User Manual - Page 794

... expression conj(list1) ⇒ list conj(matrix1) ⇒ matrix conj(1+2i) ¸ conj([2,1ì ...Note: CopyVar is similar to the store instruction (! ) when you are copying an expression, list, matrix, or character string ...variable types such as Pic and GDB variables. 794 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 795

...) ⇒ squareMatrix In Radian angle mode: cos([1,5,3;4,2,1;6,ë2,1]) ¸ 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 ... - Texas Instruments TI-89 | User Manual - Page 796

... cosê(squareMatrix1) ⇒ squareMatrix Returns the matrix inverse cosine of squareMatrix1. This is not the same as calculating the inverse cosine of ...372...coshê (3)} Returns the matrix inverse hyperbolic cosine of squareMatrix1. This is not the same as calculating the inverse hyperbolic cosine ... - Texas Instruments TI-89 | User Manual - Page 797

... cotangent is expression1 or returns a list containing the inverse cotangents of each element of list1. Note:.... Lln(3) .518...ln(7/5) } { 2 2 crossP() MATH/Matrix/Vector ops menu ⇒ list crossP... 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

... polynomial factoring, if necessary. cSolve(x^(1/3)=ë 1,x) ¸ solve(x^(1/3)=ë 1,x) ¸ false x = ë1 Display Digits mode ...also cZeros(), solve(), and zeros(). Note: If equation is non-polynomial with functions such ... 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

... w_=z_^2, {w_,z_}) ¸ w_=.494...and z_=ë.703... cSolve(e^(z_)=w_ and w_=z_^2, {w_,z_=1+ i}) ¸ w_=.149...+ 4.891...øi and z_=1.588...+ 1.540...øi 800 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 801

... CubicReg list1, list2[, [list3] [, list4, list5]] In function graphing mode. {0,1,2,3}! L1 ¸ {0,2,3,4}! L2 ¸... 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

.... CustmOn and CustmOff enable a program to control a custom toolbar. Manually, you can press 2... CustmOn and CustmOff enable a program to control a custom toolbar. Manually, you can press 2.... "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 ... PIC variables specified and at the specified interval. The user has optional control 3. The three pictures ...forward and backwards. Default = 1. 4Cylind MATH/Matrix/Vector ops menu [2,2,3] 4Cylind ¸... - Texas Instruments TI-89 | User Manual - Page 804

... both real and non-real zeros, as in the example to the right. Each row of the resulting matrix represents an alternate zero, with the components ordered the same as the varOrGuess ... 2 cZeros({e^(z_)ìw_,w_ìz_^2}, {w_,z_}) ¸ [.494... ë.703...] 804 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 805

...w_,w_ìz_^2}, {w_,z_=1+ i}) ¸ [.149...+4.89...øi 1.588...+1.540...øi] d() 2 = key or ...,var [,order]) ⇒ list d (matrix1,var [,order]) ⇒ matrix d(f(x)ù g(x),x) ¸ d d dx(f(x))ø g(x) + dx(g(x))ø f(x)... Note: May not give accurate results for years Appendix A: Functions and Instructions 805 - Texas Instruments TI-89 | User Manual - Page 806

... equivalent of the argument expressed in degrees. The argument is a number, list, or matrix that is interpreted by the Mode setting in gradians, radians or degrees. {... is treated as decimal. 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

..., Then, Else, and For). This allows the function funcName() to use the Return instruction to return a specific result. .... block also can include expressions and instructions (such as If, Then, Else, and ... delete the main folder. (deletes the folder games) Appendix A: Functions and Instructions 807 - Texas Instruments TI-89 | User Manual - Page 808

...2ùx,x,y) ¸ tan(y)= 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. ( )+@... - Texas Instruments TI-89 | User Manual - Page 809

... ë2 Returns the determinant of squareMatrix. Optionally, any matrix element is treated as zero if its absolute ... is omitted or not used, the default tolerance is calculated as: 5Eë 14 ù max(dim(squareMatrix))...) ¸ det(mat1,.1) ¸ 1.E20 [0 1 1] 0 1.E20 Appendix A: Functions and Instructions 809... - Texas Instruments TI-89 | User Manual - Page 810

... block options in the ...I/O, 1:Dialog menu item in the Program Editor are 1:Text, 2:Request, 4:DropDown, and ...(string(i),i,1,12),Var1 dim() MATH/Matrix/Dimensions menu dim(list) ⇒ integer... the number of characters contained in character string string. 810 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 811

... 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! ... is active for scrolling. Press N or ¸ to resume execution if in a program. Appendix A: Functions and Instructions 811 - Texas Instruments TI-89 | User Manual - Page 812

.... Note: Regraphing erases all drawn items. In function graphing mode and ZoomStd window: DrawFunc... axis and y values on the x axis. x is the independent variable. In function graphing mode and ZoomStd window: ... ¸ Note: Regraphing erases all drawn items. 812 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 813

...CATALOG DrawParm expression1, expression2 [, tmin] [, tmax] [, tstep] In function graphing mode and ZoomStd window: .... Note: Regraphing erases all drawn items. In function graphing mode and ZoomStd window: ...). Note: Regraphing erases all drawn items. In function graphing mode and ZoomStd window: ... - 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

... option3 : ElseIf choice=4 Then : Disp "Exiting Program" : Return :EndIf © block1 ElseIf Boolean expression2 ... blockN EndIf © ElseIf can be used as a program instruction for program branching. EndCustm EndDlog EndFor ... Func, page 823. See If, page 830. Appendix A: Functions and Instructions 815 - Texas Instruments TI-89 | User Manual - Page 816

...5x+y) ¸ 1/4 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. ... - Texas Instruments TI-89 | User Manual - Page 817

... let you 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 ... you make a backup of the calculator contents before attempting to use the Exec command. Exit Exit CATALOG Program listing: Exits ... - Texas Instruments TI-89 | User Manual - Page 818

...and immediately executes it. expr("expand((1+x)^2)") ¸ xñ + 2ø x + 1 "Define cube(x)=x^3"! funcstr ¸ "Define cube(x)=x^3" expr(funcstr) ¸ cube(2) ¸ Done 8 818 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 819

... 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 ...L1,L2 ¸ ShowStat ¸ {1 2 ...} Done Calculates the exponential regression and updates all ... in the last data variable shown in the Data/Matrix Editor). list5 does not have ... - Texas Instruments TI-89 | User Manual - Page 820

...has more than five digits. Fill MATH/Matrix menu Fill expression, matrixVar .... floor(list1) ⇒ list floor(matrix1) ⇒ matrix floor({3/2,0,ë 5.3}) ¸ {1 0 ë 6.} floor([1.2,3.4;2.5,4.8]) ¸ 1. 3. [2. 4.] Returns .... Note: See also ceiling() and int(). 820 Appendix A: Functions and Instructions... - Texas Instruments TI-89 | User Manual - Page 821

...FnOff FnOff CATALOG Deselects all Y= functions for the current graphing mode. In split-screen, two-...FnOff only applies to the active graph. FnOff [1] [, 2] ...[,99] In function graphing mode: FnOff 1,3 ¸ ...¸ deselects xt1(t), yt1(t), xt3(t), and yt3(t). Appendix A: Functions and Instructions 821 - Texas Instruments TI-89 | User Manual - Page 822

... modes, previously selected functions are not affected. For CATALOG For var, low, high [, step] Program segment: © :0!tempsum : 1!step :For i,1,100,step : tempsum+i!... the decimal point is moved to the right by zero, one, or two digits. 822 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 823

... complex number. Func Func CATALOG block EndFunc In function graphing mode, define a piecewise ... can be used to define and graph piecewise-defined functions. gcd() MATH/Number ... divisors of the corresponding elements in matrix1 and matrix2. 2 [6 4 8] Appendix A: Functions and Instructions 823 - 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

... ¸ getKey() CATALOG ⇒ integer getKey() Program listing: :Disp :Loop : getKey()!key ... is pressed. The prefix keys (shift ¤, second function 2, option ¥, alpha j, and drag ,) are not .... 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

...RECTANGULAR" "Pretty Print" "ON" "Split Screen" "FULL" "Split 1 App" "Home" "Split 2 App" "Graph" "Number of Graphs" "1" "Graph 2" "FUNCTION" "Split Screen Ratio" "1,1" "... time format, the string returns the current time in the specified format. 826 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 827

... type Expression (includes complex/arbitrary/undefined TRUE, FALSE, pi, e) Function Graph data base List Matrix Variable does not exist Real ... by software applications Picture Program String Text type Name of another variable Appendix A: Functions and Instructions 827 - Texas Instruments TI-89 | User Manual - Page 828

... to 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

...(4) ¸ Returns the identity matrix with a dimension of expression. expression must evaluate to a positive integer. 1 0 0 0 Program segment: © :If... 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

... 908. CATALOG Program segment: Pauses the program, displays the current Graph screen, and ... coordinate mode) by positioning the graph cursor. When you press ¸, the program resumes. © :¦ Get ... stores the result as a string so that " " are not required. Appendix A: Functions and Instructions 831 - Texas Instruments TI-89 | User Manual - Page 832

... is less than or equal to the argument. This function is identical to floor(). The argument can be a real or a complex number. For a list or matrix, returns the greatest integer of...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

... block. Lbl CATALOG Lbl labelName Program segment: © :Lbl lbl1 :InputStr "Enter ...can use a Goto labelName instruction to transfer program control to the instruction immediately following the label.... meet the same naming requirements as a variable name. Appendix A: Functions and Instructions 833... - Texas Instruments TI-89 | User Manual - Page 834

..., list2) ⇒ list lcm(matrix1, matrix2) ⇒ matrix lcm(6,9) ¸ 18 Returns the least ... limit(matrix1, var, point[, direction]) ⇒ matrix Returns the limit requested. direction: negative=...((sin(x+h)-sin(x))/h,h,0) ¸ cos(x) limit((1+1/n)^n,n,ˆ) ¸ e 834 Appendix A: Functions and Instructions - 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

...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 ...L1,L2 ¸ ShowStat ¸ {0 2 3 ...} Done Calculates the linear regression and updates all ... NewPlot 1,1,L1,L2 ¸ ¥% Done Done 836 Appendix A: Functions and Instructions... - Texas Instruments TI-89 | User Manual - Page 837

... + pø i .182...ln(5)} ln(squareMatrix1) ⇒ squareMatrix 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 ... - Texas Instruments TI-89 | User Manual - Page 838

... 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 ¸ all the system statistics ...global variables are not allowed in a function. Note: x and y do not exist after the program executes. Lock... - Texas Instruments TI-89 | User Manual - Page 839

... 3,1.2,5}) ¸ {log(3)+ 1.364...( i .079...log(5)} Returns 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 ... - Texas Instruments TI-89 | User Manual - Page 840

...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...,L2 ¸ Done ShowStat ¸ Calculates the logistic regression and updates all... in the last data variable shown in the Data/Matrix Editor). list5 does not have... - Texas Instruments TI-89 | User Manual - Page 841

...tol] [6,12,18;5,14,31;3,8,18]!m1 ¸ Calculates the Doolittle LU (lower-upper) decomposition of a real... matrix in uMatName, and the permutation matrix (which describes the row swaps done during the calculation) in pMatName. lMatName ù uMatName = pMatName ù matrix 6 5 3 LU m1,lower,upper,... - Texas Instruments TI-89 | User Manual - Page 842

... 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

... 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 ... L1,L2 ¸ ShowStat ¸ {0 1 2 ...} {0 2 3 ...} Done Calculates the median-median line and updates ... in the last data variable shown in the Data/Matrix Editor). list5 does not have ... - Texas Instruments TI-89 | User Manual - Page 844

...MoveVar L1,Main,Games ¸ Done mRow() MATH/Matrix/Row ops menu ...index of matrix1 multiplied by expression. [ë 1 1 2 ë 4/3] mRowAdd() MATH/Matrix/Row ops menu mRowAdd(expression,... 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

... The arguments must be the same size list. nCr(matrix1, matrix2) ⇒ matrix nCr({5,4,3},{2,4,2}) ¸ {10 1 3} nCr([6,5;4,3],[2,2;2,2]) ¸ Returns a matrix of ...the Data/Matrix 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

... folder to that folder. After you execute this instruction, you are in the new folder. newList() CATALOG... variable picVar based on matrix. matrix must be an n×2 matrix in which each row... [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

...columns in the last data variable shown in the Data/Matrix Editor), except for includeCatList, which does ...off all functions and stat plots (FnOff and PlotsOff) in the current graphing mode....^(ë 12)) ¸ 1 ë sin( ) 1000000000000 ans(1)¥ ¸ ë 1.í ë 12 Appendix A: Functions and Instructions 847... - Texas Instruments TI-89 | User Manual - Page 848

...(nInt(e^(ë xù y)/‡(x^2ì y^2), y,ë x,x),x,0,1) ¸ 3.304... norm() MATH/Matrix/Norms menu ⇒ expression norm(matrix) norm([a,b;c,d]) ¸ añ +bñ +cñ +dñ norm([1,2;3,4]) ¸ 30 Returns the ... arguments must be the same size list. {20 24 6} 848 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 849

...no solution found." If you use nSolve() in a program, you can use getType() to check for ...Statistics menu OneVar list1 [[, list2] [, list3] [, list4]] Calculates 1-variable statistics and updates all the ... have to be a variable name and cannot be c1- c99. Appendix A: Functions and Instructions 849 - Texas Instruments TI-89 | User Manual - Page 850

... unit and number base conversions. If Pretty Print = ON, exprOrString is "pretty printed." From the Program I/O screen, you can press ‡ to display the Home screen, or a program can use DispHome. Result after execution: 850 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 851

...rList, qList) ⇒ list P4Rx(rMatrix, qMatrix) ⇒ matrix In Radian angle mode: P4Rx(r,q) ¸ ... 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 ... - Texas Instruments TI-89 | User Manual - Page 852

...(xùyùz,1) ¸ 2 z yøx The example Program Editor function to the right uses getType() and ... Studying and completing this function can help teach you how to differentiate manually. You could ...Return seq(d(part(y,k),x), k,1,part(y)) :Return undef :EndFunc 852 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 853

...The vector must be of dimension 2 and can be a row or a column. Note: 4Polar is a display-format instruction, not a conversion function. You can use it only at the end... update ans. Note: See also 4Rect. [1,3.] 4Polar ¸ [x,y] 4Polar ¸ Appendix A: Functions and Instructions 853 - Texas Instruments TI-89 | User Manual - Page 854

... a valid item number, that item is displayed as the default 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

... L2 ¸ PowerReg L1,L2 ¸ ShowStat ¸ {1 2 3 ...} Done Calculates the power regression and updates all the system statistics variables...,L2 ¸ ¥% Done Done Prgm CATALOG Prgm © EndPrgm Program segment: :prgmname() :Prgm : :EndPrgm Required instruction that identifies the beginning of a program. ... - Texas Instruments TI-89 | User Manual - Page 856

... PtText show continuing similar examples. Displays the Graph screen and reverses the screen PtChg ...PtOn xList, yList PtOn 3,5 ¸ Displays the Graph screen and turns on the screen pixel ...only if the screen pixel nearest to window coordinates (x, y) is on. 856 Appendix A: Functions and Instructions - 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 on...col PxlChg rowList, colList PxlChg 2,4 ¸ Displays the Graph screen and reverses the pixel at pixel ... erases all drawn items. See also Line. Appendix A: Functions and Instructions 857 - 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

...Matrix menu QR matrix, qMatName, rMatName[ , tol] Calculates the Householder QR factorization of a real ...omitted or not used, the default tolerance is calculated as: 5Eë 14 ù max(dim(matrix)) ù rowNorm(matrix) The floating-point number (9.) in m1 causes results to be calculated in floating-point... - Texas Instruments TI-89 | User Manual - Page 860

... 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 ... L1,L2 ¸ ShowStat ¸ Calculates the quartic polynomial regression and updates ...(x) ¸ NewPlot 1,1,L1,L2 ¸ ¥% Done Done 860 Appendix A: Functions and ... - 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

.... Both arguments must simplify to integers. 8 ë3 6 ë 2 3 ë 6 0 4 ë6 Note: The values in this matrix will change each time you press ¸. randNorm() MATH/...: All undefined variables are treated as real variables. See also imag(). 862 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 863

... 3 0} Returns the real parts of all elements. real( matrix1) ⇒ matrix real([a+iù b,3;c,i]) ¸ Returns the real parts of all elements. ... 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 ... - Texas Instruments TI-89 | User Manual - Page 864

...EndDlog construct, it creates an input box for the user to type in data. If it is a stand-alone instruction, it creates a dialog box for this input. In either case, if var ...! answer:EndFor :Return answer:EndFunc ¸ factoral(3) ¸ Done 6 864 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 865

.... If #of Rotations is positive, the rotation is to the left. 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

... ¸ {3.1416 1.4142 .6931} round([ln(5),ln(3);p,e^(1)],1) ¸ Returns a matrix of the elements rounded to the specified number of digits. [3.1 2.7] 1.6 1.1 ... 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

... CATALOG RplcPic picVar[, row][, column] Clears the Graph screen and places picture picVar at... tol is omitted or not used, the default tolerance is calculated as: 5Eë 14 ù max(dim(matrix1)) ...mode setting. sec({1,2.3,4}) ¸ 1 1 { cos(1) 1.000...cos(4)} Appendix A: Functions and Instructions 867 - Texas Instruments TI-89 | User Manual - Page 868

... value. The receiving unit must be 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.... - Texas Instruments TI-89 | User Manual - Page 869

.... If the port is not specified, or port = 0 is specified, the TI-89 Titanium sends data using the USB port if connected... it will send using the I/O port. If port = 1, the TI-89 Titanium sends data using the 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

..."Seq Axes" "DE Axes" "Rect", "Polar", "Off" "Seq", "Simul" 1 "Off", "On" 2 "Off", "On" "Off", "Axes", "Box" "Off... Equations graph mode. Also not available in Function graph mode with "Discontinuity Detection" 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) setMode(list) ⇒ ... - Texas Instruments TI-89 | User Manual - Page 872

...", "Left-Right" "Home", "Y= Editor", "Window Editor", "Graph", "Table", "Data/Matrix Editor", "Program Editor", "Text Editor", "Numeric Solver", "Flash App" "Home", "Y= Editor", "Window Editor", "Graph", "Table", "Data/Matrix Editor", "Program Editor", "Text Editor", "Numeric Solver", "... - Texas Instruments TI-89 | User Manual - Page 873

... its default unit. (You can specify built-in units only, not user-defined units.) Any category not specified will use its previous ... in setUnits(). You can use setUnits() to restore settings 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 shades ...: 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. "... - 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

.... [2] The solution is x=ë 3 and y=2. Solve: ax + by = 1 cx + dy = 2 Optionally, any matrix element is treated ... is omitted or not used, the default tolerance is calculated as: 5Eë 14 ù max(dim(coeffMatrix))... mode: sin(p/4) ¸ sin(45¡) ¸ ‡2 2 ‡2 2 876 Appendix A: Functions and Instructions... - Texas Instruments TI-89 | User Manual - Page 877

... ¸ {0 .201...523...} sinê(squareMatrix1) Returns the matrix inverse sine of squareMatrix1. This is not the same as calculating the inverse sine of each element. For information about the calculation method, refer to cos(). squareMatrix1 must be ... - Texas Instruments TI-89 | User Manual - Page 878

... sinhê([1,5,3;4,2,1;6,ë2,1]) ¸ Returns the matrix inverse hyperbolic sine of squareMatrix1. This is not the same as calculating the inverse hyperbolic sine of each element. For ...] In function graphing mode: {1 31 61 ...} {5.5,8,11,13.5,16.5,19,19.5,17, 14.5,12.5,8.5,6.5,5.5}!L2... - Texas Instruments TI-89 | User Manual - Page 879

..., and inverse trigonometric functions denote only the principal branch. Consequently, solve() produces ... varOrGuess specifies a variable that you want to solve for. Optionally, you can specify an initial ...-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

... must simplify to numbers. solve(x+e^(z)ùy=1 and xìy=sin(z),{x,y}) ¸ x= ezøsin(z)+1 ë (sin(z)ì 1) and y= e z +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

... 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 ...list1,list2 ¸ list1 ¸ list2 ¸ {2 1 4 3} {1 2 3 4} Done {4 3 2 1} {3 4 1 2} 4Sphere MATH/Matrix/Vector ops menu vector 4Sphere Displays the row or ... - Texas Instruments TI-89 | User Manual - Page 882

... ¸ stdDevPop({1.3,2.5,L6.4},{3,2,5}) ¸ stdDevPop(matrix1[, freqmatrix]) ⇒ matrix Returns a row vector of the population standard deviations of...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

... 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 Stop EndFor © StoPic CATALOG StoPic picVar... - Texas Instruments TI-89 | User Manual - Page 884

... "Thick", "Animate", "Path", "Above", or "Below". Note: In function graphing mode, these examples set the ... information. Valid style names vs. graphing mode: Function: Parametric/Polar: Sequence: 3D: ... 18] sum([1,2,3;4,5,6;7,8,9],2,3) ¸ rows. [11,13,15] 884 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 885

... number. 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 ... - 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... can also be graphed. Expressions entered using the Table or Graph commands are assigned increasing function numbers starting with 1. The expressions can be modified or ... - Texas Instruments TI-89 | User Manual - Page 887

...In Radian angle mode: tanê([1,5,3;4,2,1;6,ë2,1]) ¸ Returns the matrix inverse tangent of squareMatrix1. This is not the same as calculating the inverse tangent of each element. For information about the calculation method, refer to cos(). squareMatrix1 must... - Texas Instruments TI-89 | User Manual - Page 888

... element of list1. tanhê(squareMatrix1) ⇒ squareMatrix Returns 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, ... - Texas Instruments TI-89 | User Manual - Page 889

... inside that dialog box. If used as a standalone instruction, Text creates a dialog box to display ... menu choice to branch to a specified label inside the program. :EndDlog © "This is a dialog box" "Your name",... you were born", seq(string(i),i,1,12),Var1 Appendix A: Functions and Instructions 889 - Texas Instruments TI-89 | User Manual - Page 890

...¡C) is equivalent to a 180_¡F range: 100_ ¡C 0 100 _¡C _¡F 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

...it does not have an item. Note: When run in a program, this segment creates a menu with three choices that branch to three places in the program. Trace Trace CATALOG Draws a Smart Graph and places the ...: ClrErr :EndTry © Note: See ClrErr and PassErr. Appendix A: Functions and Instructions 891 - Texas Instruments TI-89 | User Manual - Page 892

... TwoVar L1,L2 ¸ ShowStat ¸ {0 2 3 ...} Done Calculates the TwoVar statistics and updates all the ...c99 (columns in the last data variable shown in the Data/Matrix Editor). list5 does not have to .... Note: The variables can be locked using the Lock command. 892 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 893

...(x - Texas Instruments TI-89 | User Manual - Page 894

...(n) ¸ factoral(3) ¸ 3! ¸ Done 6 6 While CATALOG While condition Program segment: © :1! i :0! temp :While i - Texas Instruments TI-89 | User Manual - Page 895

...: See also cSolve(), cZeros(), and solve(). zeros({expression1, expression2}, {varOrGuess1, varOrGuess2 matrix {ë( bñ-4øaøc-+b) 2øa bñ-4øaøc-b...2ì r^2, (xì r)^2+y^2ì r^2},{x,y}) ¸ r 2 r 2 Extract row 2: 3ør 2 ë 3 ør 2 Appendix A: Functions and Instructions 895 - Texas Instruments TI-89 | User Manual - Page 896

...¬1,ëyìsin(z)}, {y,z}) ¸ [.041... 3.183...] [.001...In function graphing mode: 1.25xù cos(x)! y1(x) ... ¸ 6.281...] ZoomBox CATALOG ZoomBox Displays the Graph screen, lets you draw a box that ... after defining ZoomBox by pressing ¸ the second time. 896 Appendix A: Functions and Instructions - Texas Instruments TI-89 | User Manual - Page 897

ZoomData CATALOG ZoomData In function graphing mode: {1,2,3,4}! L1 ¸ {2,3,4,5}! L2 ¸ newPlot .... " ZoomData ¸ ZoomDec CATALOG ZoomDec In function graphing mode: 1.25xù cos(x)! y1... the Graph screen with the origin centered on the screen. " ZoomDec ¸ Appendix A: Functions and Instructions... - Texas Instruments TI-89 | User Manual - Page 898

... y1(x) ¸ ZoomStd ¸ Done Displays the Graph screen, and calculates the necessary window dimensions for the dependent variables to view all the picture for the ... variable settings. " ZoomFit ¸ ZoomIn CATALOG ZoomIn In function graphing mode: 1.25xù cos(x)! y1(x) ¸ ZoomStd... - Texas Instruments TI-89 | User Manual - Page 899

... 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 cos(x)! ... - Texas Instruments TI-89 | User Manual - Page 900

ZoomStd CATALOG ZoomStd In function graphing mode: 1.25xù cos(x)! y1(x) ¸ ZoomStd ¸... values, and then updates the viewing window. Function graphing: x: [ë 10, 10, 1], y: [ë 10, 10, ... ZoomRcl to restore the settings. ZoomTrig CATALOG ZoomTrig In function graphing mode: 1.25xù cos(x)! y1(x)... - Texas Instruments TI-89 | User Manual - Page 901

list1 + list2 ⇒ list matrix1 + matrix2 ⇒ matrix Returns a list (or matrix) containing the sums of corresponding elements in list1 and ... of expression and each element in list1. expression + matrix1 matrix1 + expression ⇒ ⇒ matrix matrix 20+[1,2;3,4] ¸ Returns a matrix with expression ... - 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

... a square matrix. [1,2;3,4]^2 ¸ [1,2;3,4]^ë 1 ¸ [1,2;3,4]^ë 2 ¸ If integer = ë 1, computes the inverse matrix. If integer < ë 1, computes the inverse ... .ì matrix1 returns a matrix that is the difference of expression and each element in matrix1. Appendix A: Functions and Instructions 903 - Texas Instruments TI-89 | User Manual - Page 904

...of corresponding elements in matrix1 and matrix2. expression . / matrix1 returns a matrix that is the quotient of expression and each element in matrix1. [a,2;b,3]./[c,4;5,d] ¸... 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

... key expression1 = expression2 ⇒ Boolean expression list1 = list2 ⇒ Boolean list matrix1 = matrix2 ⇒ Boolean matrix Example function listing using math test symbols :g(x) :Func... by element. Then 5 x>ë 5 and x - Texas Instruments TI-89 | User Manual - Page 906

...Returns 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

...-particularly when an anti-derivative contains logarithms or inverse trigonometric functions. Moreover, piecewise constant expressions ... nInt(). ‰(bù e^(ë x^2)+a/(x^2+a^2),x) ¸ ‰(e^(ë x^2),x,ë 1,1)¥ ¸ 1.493... ‰(‰(ln(x+y),y,0,x),x,0,a) ¸ Appendix A: Functions and Instructions 907 - 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 Radian mode: ‡2 cos(50G) ¸ 2 This function gives you a way to use a gradian ... Use ô if you want to force radians in a function or program definition regardless of the mode that prevails ... Format mode setting: rectangular, cylindrical, or spherical. Appendix A: Functions and Instructions 909 - Texas Instruments TI-89 | User Manual - Page 910

.... Note: 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 Instructions - 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

.... solve(x^2ì 1=0,x)| xƒ1 ¸ ! (store) § key expression ! var list ! var matrix ... line, which can be used to annotate program instructions. ¦ can be at the beginning or anywhere in the line.... 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

... 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. It also includes information about how certain TI-89 Titanium / Voyage™ 200 operations are calculated. TI-89 Titanium / Voyage™ 200 Error Messages This ... - Texas Instruments TI-89 | User Manual - Page 915

... new batteries before sending or receiving. Bound For the interactive graph math functions like 2:Zero, the lower bound must be less... the upper bound to define the search interval. 180 Break The ´ key was pressed during a long calculation or during program execution. 185 190 Checksum error Circular ... - Texas Instruments TI-89 | User Manual - Page 916

...statement Excessive iteration Expected 2 or 3-element list or matrix Flash application extension (function or program) not found Flash application ...colon (:). See also "Creating and Evaluating User-Defined Functions" in the Calculator Home Screen module. 917 320 330 Appendix B: Technical Reference - Texas Instruments TI-89 | User Manual - Page 917

... a Dialog structure. 550 Invalid outside function or program A number of commands are not valid .... For example, Local cannot be used unless it is in a program or function. Invalid outside Loop..EndLoop, ... is invalid. Invalid polar complex Invalid program reference Programs cannot be referenced within ... - Texas Instruments TI-89 | User Manual - Page 918

... cable is connected firmly to both units. Matrix not diagonalizable Memory The calculation required more memory than was available at that time. If you get ... break the program into separate, smaller programs or functions (where one program or function calls another). Missing ( Missing )... - Texas Instruments TI-89 | User Manual - Page 919

Error Number 850 Description Program not found A program reference inside another program could not be found in the provided path during execution. Rand type functions not allowed in 3D graphing Recursion is limited to 255 calls deep Reserved name or system ... - 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

... about using folders, see Calculator Home Screen. 1:main Default folder included with the TI-89 Titanium / Voyage™ 200. 2: - Other folders are available only...-you can enter a number in any format. Internally, the TI-89 Titanium / Voyage™ 200 retains decimal numbers with 14... - 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

... into two parts. For example, you can display a graph and see the Y= Editor at the same time. 1:FULL... with other modes such as Split 1 App, Split 2 App, Number of Graphs, and Split Screen Ratio....the top or left part of the split screen, and Graph 2 sets the bottom or right part. The available choices ... - Texas Instruments TI-89 | User Manual - Page 924

... how 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 ... - 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... O U 264 265 277 266 278 257 263 88 89 90 84 94 70 66 67 68 69 74 QUIT... 4353 263 4184 4185 4186 4180 140 8456 8457 ESC APPS Home MODE CATLG BS 264 265 277 266 278 257... - 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

... 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 268 269 270 271 272 273 274 275 266 263 262 264 265 13 259 260 261 94 40 41 44 47 42 45 43 258 32 61 257 \ ... - 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

Entering Complex Numbers You can enter complex numbers in the polar form (rù, q), where r is the magnitude and q is the angle, or polar form r e i q. You can also enter complex numbers in rectangular form a+bi . Overview of Complex Numbers A complex number has real and imaginary components that ... - 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

...set up a complex variable. Method 1: Use an underscore _ (TI-89 Titanium: ¥ , Voyage™ 200 2 ) as the last character in the variable ... Radian angle mode is recommended for complex number calculations. Internally, the TI-89 Titanium / Voyage™ 200 converts all entered trig values to radians, ... - 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 displays. Computational Accuracy Floating-point... names of system variables and reserved function names that are used by the TI-89 Titanium / Voyage™ 200. Only those ... - 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

Table tblStart @tbl tblInput Data/Matrix c1-c99 sysData* Miscellaneous main ok errornum Solver eqn*... 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 ... - Texas Instruments TI-89 | User Manual - Page 942

... an 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 ...-squares algorithm finds the constants a, b, c, and d that minimize the function: J= [ a sin( bxi + c) + d − yi ] ∑ i =1 N 2 Regressions Regression ... - Texas Instruments TI-89 | User Manual - Page 944

... equation: y=a+b ln(x) Logistic Uses the least-squares algorithm to 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, and y3, and fits the model equation: y=ax+b where a is the slope and b is ... - Texas Instruments TI-89 | User Manual - Page 945

... difference between the point's z value and the contour value is calculated. • A sign change between any two adjacent points...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 ... - Texas Instruments TI-89 | User Manual - Page 946

...can 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 alkaline batteries, and a lithium battery as a... four years. Note: To avoid loss of information stored in memory, the TI-89 Titanium / Voyage 200 must be off. Do not remove the alkaline ... - 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

... If you have difficulty operating the TI-89 Titanium / Voyage™ 200, the following suggestions may ...The PAUSE indicator is displayed. A graph or program is paused and the TI-89 Titanium / Voyage 200 is ... 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

... ), and setTable( ) functions do not translate into other languages when used in a program. For example, when ... 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: ... - 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

... Split1App (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 ... - 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

...) or contact your local Texas Instruments retailer/distributor. Texas Instruments (TI) Warranty Information Customers in the... One-Year Limited Warranty for Commercial Electronic Product This Texas Instruments ("TI") electronic product warranty extends only to the original purchaser and user of the ... - Texas Instruments TI-89 | User Manual - Page 964

...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 will continue for the warranty of the ... - Texas Instruments TI-89 | User Manual - Page 965

...only to the original purchaser and user of the product. Warranty Duration. This Texas Instruments electronic product ... user. Except as expressly provided in the One-Year Limited Warranty for this product, Texas Instruments... if you mail it. Software. Software is licensed, not sold. TI and its licensors... - Texas Instruments TI-89 | User Manual - Page 966

... length and terms of the warranty, refer to your package and/or 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 ... - 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

... Open existing variable Save copy as Lighten or darken contrast Calculate approximate answer Turn off unit so that it returns to current application the next time you turn it on Run programs kbdprgm1() through kbdprgm6() 3D Graphing C, D, A, B «, | X, Y, Z µ (zero) F Ù Animate graph Change ... - Texas Instruments TI-89 | User Manual - Page 969

... Differences There are certain differences in keystrokes using the TI-89 Titanium / Voyage™ 200 for various operations. The ... the keystrokes for major commands for the two calculators. FUNCTION LETTERS @ TI-89 Titanium H Voyage 200 One lowercase letter (a-s, u, v, w) One lowercase letter (t, x,... - Texas Instruments TI-89 | User Manual - Page 970

θ (Theta) | ("With") ' (Prime) ° (Degree) - Texas Instruments TI-89 | User Manual - Page 971

...909 (*( ), integrate 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 ...... - Texas Instruments TI-89 | User Manual - Page 972

......10 key command ...17 selecting characters ...10 (2 K calculator Home screen ...24 entering commands ...22 ... ...64 key command ...17 turning off the calculator ...7 (4, convert ...283, 912 (4Bin, display as ... (cursor keys) entering commands ...23 opening Apps ...28 selecting entry/answer pairs ...26... - Texas Instruments TI-89 | User Manual - Page 973

...) ...146 APD (Automatic Power Down) feature during calculation or program ...8 turning on after ...8 append, & ...602, 908 APPLICATIONS ..., 188, 203, 241 approximate, approx( ) ...256 Apps (calculator software applications) deleting ...67 icon highlighted, last open ...7 icons ...5 names ...28 opening... - Texas Instruments TI-89 | User Manual - Page 974

shortcuts ...33 switching ...64 Apps desktop calculator Home screen and ...24 categories ......off ...39 turning off the calculator ...7 arbitrary integer, @ ...276, 277 Arc (graph math tool) 331...38 Automatic Power Down (APD) feature during calculation or program ...8 in OS download mode ...69 turning ... - Texas Instruments TI-89 | User Manual - Page 975

... menu ...56 entering commands ...22 function keys ...14 key command ...17 toolbar menus ...49 turning off the calculator ...7 calculator software applications (Apps) 7 icons ...5 Calculator-Based Laboratory system connecting ...68 Calculator-Based Laboratory. ... - 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, ... - 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, ...... - 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

... ...551 values ...523, 524 data/matrix editor ...469 data4mat( ) ...806 date... derivative, nDeriv( ) 266, 846 Derivatives (graph math tool) . 331, 334, 346... indicator ...53 MODE ...17 to open Apps ...28 dialog box, define, Dialog..., field off ...415, 424, 451 graphing ...410-452 initial conditions ...421... - Texas Instruments TI-89 | User Manual - Page 980

... methods ...414, 439, 948 third order ...431 troubleshooting ...447 diftol window variable ...418 dim( ...freehand ...491 function, DrawFunc ...487, 632, 813 horizontal line, LineHorz ...632, 836 inverse, DrawInv ..., Line ...631, 836 lines ...492, 494 on a graph ...629 parametric, DrawParm 487, 632, 814 ... - Texas Instruments TI-89 | User Manual - Page 981

..., LineVert ...632, 837 DrawInv, draw inverse ...488, 632, 813 DrawParm, draw ... 831 loop, EndLoop ...614, 841 program, EndPrgm ...128, 591, 856 toolbar,... loop ...614, 841 EndPrgm, end program ...128, 591, 856 EndTBar, end ..., 674, 675 error conditions after APD ...8 errors and troubleshooting ...952 11... - Texas Instruments TI-89 | User Manual - Page 982

... graphing ...101, 750 additional graphing topics ...110 angle modes ...81 baseball ...763 CBL 2 program ...761 complex factors ... factorial ...73 factoring polynomials ...259 Fibonacci sequence ...373 finding roots ...75 function graphing ...86, 89 graphing functions ...87 implicit derivatives ...79 ... - Texas Instruments TI-89 | User Manual - Page 983

...prey model ...371, 435 prime factors ...73 programming ...128, 130, 637 Pythagorean theorem ...741...775 second-order differential equation . . 427, ...444 sequence graphing ...98 solving inequalities ...78 solving ...execute assembly language, Exec . 644, 818 execute program, Prgm ...128, 591, 856 Exit, ... - Texas Instruments TI-89 | User Manual - Page 984

... 424, 451 field picture, fldpic ...419 Fill, matrix fill ...821 Flash applications . . 181, 195, ..., ...693 deleting ...724 FLASH APPLICATIONS (8 O) accessing Apps not listed ...59 description ...50 key command ... 105, 315, 393, ...395, 397, 657 fpart( ), function part ...824 fractions ...256, 264, 755,... - Texas Instruments TI-89 | User Manual - Page 985

...-screen ...64 displaying Apps in ...64 FUNC (function) mode ...38 Func, program function ...587, 824 ...627, 823 part, fPart( ) ...824 program function, Func ...587, 824 user-defined 196, 223, 271, 378, 475, ....../return CBL2/CBR value ...825 get/return G calculator, GetCalc . . 634, 727, 728, 825 CBL/... - Texas Instruments TI-89 | User Manual - Page 986

... angle mode ...81 gradian,G ...910 graph mode ...18, 38 number mode ... off, FnOff ...627, 822 functions on, FnOn ...627, 823 graph databases ...503 ... ...331, 335 Intersection ...331, 333 inverse functions ...488 line styles . .311,..., 351, 358, 378 math functions ...331 matrix data ...469 Maximum ...331,... - Texas Instruments TI-89 | User Manual - Page 987

...pictures ...497, 499 piecewise functions ...475 pixels ...941 polar ...340 programs ...627 QuickCenter ...324 recall graph database, RclGDB . 629..., 346, 353, 362, 381, ...420 two-graph mode .482, 483, 484, 506 Value ...., 343, 351, 359, ...379 Y= editor 86, 89, 305, 343, 349, 356, 377, ...... - Texas Instruments TI-89 | User Manual - Page 988

...27 Home icon ...24 Home screen ...205 Home screen. See calculator home screen hyperbolic arccosine cosh/( ) ...798 arcsine,... (2 /) ...16 inString( ), within string ...602, 833 instructions ...159 calculator Home screen ...24 Catalog ...21 insufficient display memory, . 229 int( ), integer ...... - Texas Instruments TI-89 | User Manual - Page 989

... cosecant, csch/( ) ...cotangent, coth/( ) ...secant, sech/( ) ...inverse, x/ ...iPart( ), integer part ...isArchiv() ...isArchiv(), is... 657 keys function ...14 label, Lbl ...593, 609, 616 Labels graph format ...... least common multiple ...835 Leading Cursor graph format ...316 least common multiple, ... - Texas Instruments TI-89 | User Manual - Page 990

... table ...740 linking and transmitting ...869, 870 calculator to calculator 633, 716, 718, ...719, 721, ... 634 get/return CBL2/CBR value, Get 825 program ...633, 727, 728 send chat, SendChat ......728 send list variable, Send ...635, 869 send to calculator, SendCalc ...634, 727, ...728 variables ...719, ... - Texas Instruments TI-89 | User Manual - Page 991

...upper decomposition . . 842 M mat4data( ) ...842 mat4list( ), matrix to list ...843 math category ...31 ...537 cumulative sum, cumSum( ) ...803 data from a graph ...469 determinant, det( ) ...810 diagonal,...transpose, T ...886 matrix to list, mat4list( ) ...843 max( ), maximum ...843 Maximum (graph math... - Texas Instruments TI-89 | User Manual - Page 992

..., . 229 true ...275 undef (undefined) ...278 messages See also errors and troubleshooting mid( ), mid-string ...844 mid-string, mid( ) ...602 min( ), minimum ...845 Minimum (graph math tool) . 87, 331, 333 minute notation, ' ...911 mod( ), modulo ...845 ... - Texas Instruments TI-89 | User Manual - Page 993

..., 31, 37, 61, 64 FUNC (function) ...38 get/return, getMode( ) ...617, 827 GRAD (gradian) ...38 Graph 187, 203, 304, 342, 349..., 166, 188, 924 RAD (radian) ...38 SEQ (sequence) ...38 setting in programs ...616 setting, setMode( ) ...617, 628, 872 settings ...17 Split App ...188, 925 Split Screen ...188... - Texas Instruments TI-89 | User Manual - Page 994

mRowAdd( ), matrix row multiplication and addition ...845 multiply, * ...903 multistatement functions ......, NewFold ...597, 847 list, newList( ) ...847 matrix, newMat( ) ...847 picture, NewPic ...597, ... conversions ...681 math operations ...682 Number of Graphs mode ...188, 925 numbers irrational ...... - Texas Instruments TI-89 | User Manual - Page 995

... panning ...323 PAR (parametric) mode ...38 parallelepiped activity ...750 parametric graphing ...347 parentheses, brackets, and braces . 160, 943 part( ), ...863 replace, RplcPic ...629, 868 storing, StoPic ...629, 884 piecewise functions ...475 pixel change, PxlChg ...631, 858 circle, PxlCrcl ...631,... - Texas Instruments TI-89 | User Manual - Page 996

...38 polar coordinate, R4Pq( ) ...862 coordinate, R4Pr( ) ...862 graphing ...340 vector display, 4Polar ...855 polyEval( ),...mode ...18, 166, 188, 924 Prgm, execute program ...128, 591, 856 prime number test, ...) ...834 prime numbers ...75 prime, ' ...911 problems (new), NewProb ...190, 848 product ID ...... - Texas Instruments TI-89 | User Manual - Page 997

...627, 742, 808 deleting ...579 display graph, DispG . 620, 627, 812 display... loop, EndLoop ...614, 841 end program, EndPrgm 128, 591, 856 end... language, Exec . . 644, ...818 execute program, Prgm . . 128, 591, 856 exit..., getFold( ) . 617, 826 get/return from calculator, GetCalc . . 634, ...727, 728, 825... - Texas Instruments TI-89 | User Manual - Page 998

menus ...622, 626 multicommand lines ...580 operations ...784 output ...574, 582, 620 output, Output ...620, 627, 851 pass error, PassErr ...636, 854 passing values ...584 pause, Pause ...620, 636, 854 popup menu, PopUp ...619, 856 prompt, Prompt( ) ...619, 857 request, Request ...620, 622, 865 ... - Texas Instruments TI-89 | User Manual - Page 999

...R ...910 rand( ), random number ...862 randMat( ), random matrix ...747, 863 randNorm( ), random norm ...863 ... number seed . . 747, 863 rational functions activity ...755 RclGDB, recall graph database 505, 629, ... ...629, 863 real( ), real ...863 recall graph database, RclGDB . .505, 629, 863 picture, ... - Texas Instruments TI-89 | User Manual - Page 1000

...), ...868 sech( ), hyperbolic secant ...869 sech/( ),inverse hyperbolic secant . . 869 Second modifier key ...send list variable, Send ...635, 869 send to calculator, SendCalc . . 634, 727, 728, ...869 Send,...send list variable ...635, 869 SendCalc, send to calculator . . 634, 727, 728, ...869 SendChat, ... - Texas Instruments TI-89 | User Manual - Page 1001

...318 SocialSt (social studies) category ...31 software version ...233 Solution Method graph format ...414 solution, deSolve( ) ...266, 444, 809 solve( ), solve ...active graph ...38 exiting ...64 Number of graphs ...62 returning from within an App ...31 selecting active App ...64... - Texas Instruments TI-89 | User Manual - Page 1002

...( ), start timer ...882 statistics ...540-571 Box Plot ...556 Calculation Type ...541, 546 categories ...565 Category ...541, 543 combinations,...884 stop, Stop ...579 StoPic, store picture ...629, 884 stopping a calculation ...165 Store (9) key ...17 storing graph database, StoGDB . . 629, 884 picture... - Texas Instruments TI-89 | User Manual - Page 1003

...14 sum( ), summation ...866, 885 sum, )( ) ...266, 909 support and service ...965 switch( ), switch ...886 switch, switch( ) ...617 ...Table ...456 incrementing, @tbl ...456 Independent AUTO/ASK . . 457, 459, 464 manual ...464 overview ...454 programs ...627 setTable( ) ...459 setting, setTable( ) ...... - Texas Instruments TI-89 | User Manual - Page 1004

..., 395 WIRE FRAME ...104, 395 TI Connectivity Cable .65, 716, 733... overhead panel connecting ...68 TI Connect software ...65, 733 time reset..., 435 timeCnv( ), convert time ...890 TI-Presenter video adapter connecting ...68... on, CustmOn ...230, 803 Toolbar menus calculator Home screen ...49 moving among... - Texas Instruments TI-89 | User Manual - Page 1005

... measurement ...279 modes ...189, 926 setting, setUnits( ) ...617, 874 user-defined ...290 unit-to-unit cable ...70 connecting ...68 ... ...597 upgrading operating system (OS) . . 731, 732, ...733 user-defined functions ...196, 223, 271, 378, ...475, 477, 585, 587, 808 user-defined units ...290 U 35 - Texas Instruments TI-89 | User Manual - Page 1006

Value (graph math tool) . .331, 332, 353, 382, ...420 variables ...39, 197, 199... locking, Lock ...597 locking/unlocking ...204, 703 matrix ...519 moving, MoveVar ...597 overriding ...239 pasting ..., 708, 709, 893 undefined ...235, 671 unknown, solving for ...670, 674 unlocking, Unlock ...597 VARLINK . ... - 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

..., 344, 359, 379, ...417, 941 ymin window variable 313, 344, 351, 359, ...379, 417, 941 yscl window variable 314, 344, 352, 359, 417 Zero (graph math tool) ...331, zeroes activity ...zeroes, zeroes( ) ...240, 256, zeroes, zeros( ) ...743, zeros( ), zeroes ...743, zmax window variable ...zmin window ...

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