HP 39g hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf
HP 39g - Graphing Calculator Manual
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- HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 1
HP 39G/40G GRAPHING CALCULATOR USER'S GUIDE Version 1.1 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 2
- HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 3
Setting a mode 1-11 Aplets (E-lessons 1-11 Aplet library 1-15 Aplet views 1-15 Aplet view configuration 1-17 Mathematical calculations 1-18 Using fractions 1-24 Complex numbers 1-27 Catalogs and editors 1-28 Differences between the HP 38G and the HP 39G/40G 1-29 2 Aplets and their views - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 4
aplet 8-1 Entering and editing statistical data 8-5 Defining a regression model (2VAR 8-11 Computed statistics 8-13 Plotting 8-15 Plot types 8-16 Fitting a curve to 2VAR data 8-17 Setting up the plot (Plot setup view 8-18 Trouble-shooting a plot 8-19 Exploring the graph 8-20 Calculating - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 5
started with the Inference aplet 9-2 Importing Sample Statistics from the Statistics aplet 9-5 Hypothesis tests 9-9 One-Sample Z-Test 9-9 Two-Sample Z-Test 9-10 One-Proportion Z-Test 9-11 Two-Proportion Z-Test 9-12 One-Sample T-Test 9-13 Two-Sample T-Test 9-14 Confidence intervals 9-16 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 6
storing matrices 12-2 Working with matrices 12-4 Matrix arithmetic 12-6 Solving systems of linear equations 12-8 Matrix functions and commands 12-9 Argument conventions 12-10 Matrix and sketches Introduction 14-1 Aplet note view 14-1 Aplet sketch view 14-3 The notepad 14-6 iv Contents - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 7
example 15-10 Programming commands 15-14 Aplet commands 15-14 Branch commands 15-17 Drawing commands 15-19 Graphic commands 15-20 Loop commands 15-22 Matrix commands 15-23 Print commands 15-25 Prompt commands 15-25 Stat-One and Stat-Two commands 15-29 Storing and retrieving variables - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 8
the HP 39G/40G R-4 To erase all memory and reset defaults R-5 If the calculator does not turn on R-5 Glossary R-6 Operating details R-7 Batteries R-7 Menu maps of the VARS menu R-8 Home variables R-8 Function aplet variables R-9 Parametric aplet variables R-10 Polar aplet variables - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 9
HP 39G/40G from Hewlett-Packard's Calculators web site. You can download customized aplets from the web site and load them onto your calculator. Customized aplets are represented as follows: Function, Polar, Parametric • Your entries as they appear on the command line or within input forms are - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 10
any errors or for incidental or consequential damage in connection with the furnishing, performance or use of this manual and the examples herein. © Hewlett-Packard Company 2000, all rights reserved. The programs that control your HP 39G/40G are copyrighted and all rights are reserved. Reproduction - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 11
or the Low Bat message, then the calculator needs fresh batteries. HOME is the calculator's home view and is common to all aplets. If you want to perform calculations, or you want to quit the current activity (such as an aplet, a program, or an editor), press . All mathematical functions - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 12
calculator keyboard. Edit line. The line of current entry. History. The HOME display ( ) shows up to four lines of history: the most recent input and output. Older lines HP 40G is packaged with a computerized algebra system (CAS). Press to access the computerized algebra system. This User's Guide - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 13
. To cancel, press again. Alpha in effect for next keystroke. To cancel, press again. Low battery power. Busy. Data is being transferred via infrared or cable. The keyboard Menu keys Menu key labels Menu keys Aplet control keys Alpha key Shift key Getting started Cursor keys Enter key 1-3 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 14
calculator keyboard, the top row of keys are called menu keys. Their meanings depend on the context-that's why their tops are blank. The menu keys are sometimes called "soft keys". • The bottom line of the display shows the labels for the menu keys' current meanings. Aplet control keys The aplet - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 15
a string of characters. Enters an input or executes an operation. In calculations, acts like "=". When or is present as a menu key, acts variable by inserting X, T, θ, or N into the edit line, depending on the current active aplet. Deletes the character under the cursor. Acts as a backspace - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 16
need to hold down when you press HOME. This action is depicted in this manual as "press MODES." To cancel a shift, press again. The alphabetic keys For a string of letters, hold down while typing. HELPWITH Example The HP 39G built-in help is available in HOME only. It provides syntax help - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 17
Constants. You can use these in programs that you develop. - Pressing takes you to the beginning of the MATH menu. See "Math functions by category" on page 10-3 for details of the math functions. When using the MATH menu, or any menu on the HP 39G/ 40G, pressing an alpha key takes you straight - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 18
category is highlighted. Press or when you have highlighted your selection. • To speed-search a list (with no edit line), type the first letter of the word. For example, to find the Matrix category in , press , the Alpha "M" key. • To go up a page, you can press page, press . . To go down - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 19
. Radians. 2π radians in a circle. Grads. 400 grads in a circle. The angle mode you set is the angle setting used in both HOME and the current aplet. This is done to ensure that trigonometric calculations done in the current aplet and HOME give the same result. Getting started 1-9 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 20
Setting Number Format Decimal Mark Options (Continued) The number format mode you set is the number format used in both HOME and the current aplet. Standard. Full-precision display. Fixed. Displays results rounded to a number of decimal places. Example: 123.456789 becomes 123.46 in Fixed 2 format. - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 21
a variety of sources: • Built-in the HP 39G/40G (initial purchase). • Aplets created by saving existing aplets, which have been modified, with specific configurations. See "Creating new aplets based on existing aplets" on page 16-1. • Downloaded from HP's Calculators web site. • Copied from another - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 22
many more teaching aplets can be found at HP's web site and other web sites created by educators, together with accompanying documentation, often with student work sheets. These can be downloaded free of charge and transferred to the HP 39G/40G using the separately supplied Connectivity Kit. 1-12 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 23
documentation, and an accompanying student work sheet can be found at HP's web site. When first started, the aplet is in mode, in which the arrow keys, the and keys and the key are used to change the shape of the graph. This changing shape is reflected in the equation displayed at the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 24
aplet The Trig Explorer aplet is used to investigate the behaviour of the graph of y = a sin (bx + c) + d as the values of a, b, c and d change, both by manipulating the equation and seeing the change in the graph, or by manipulating the graph and seeing the change in the equation. When the user - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 25
aplet views (Symbolic, Plot, and Numeric), the six supporting aplet views (from the VIEWS menu), and the two user-defined views (Note and Sketch). Symbolic view Press to display the aplet the aplet's Plot view. In this view, the functions that you have defined are displayed graphically. See - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 26
any preexisting plot(s). See "Other views for scaling and splitting the graph" on page 2-13 for further information. Press NOTE to display the aplet's note view. This note is transferred with the aplet if it is sent to another calculator or to a PC. A note view contains text to supplement an - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 27
the aplet's plot settings. Angle measure is controlled using the MODES view. Plot Setup Press SETUP-PLOT. Sets parameters to plot a graph. can save an aplet configuration that you have used, and transfer the aplet to other HP 39G/40G calculators. See "Sending and receiving aplets" on page 16 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 28
the HOME view ( ). You can do all calculations here, and you can access all operations. Entering expressions Example • Enter an expression into the HP 39G/40G in the same left-to-right order that you would write the expression. This is called algebraic entry. • To enter functions, select the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 29
. (This is easier than using 10 .) Calculate (---4----×-----1---0-------1--3---)--(---6----×-----1---0---2---3---) 3 × 10-5 4 EEX 13 6 A*(B+4). Instead an error message is displayed: "Invalid User Function". This is because the calculator interprets A(B+4) as meaning 'evaluate function A at the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 30
the final parenthesis at the end of an edit line. The calculator inserts it automatically. Parentheses are also important in specifying the order of operation. Without parentheses, the HP 39G/40G calculates according to the order of algebraic precedence (the next topic). Following are some examples - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 31
you press . To repeat the very last line, just press . Otherwise, highlight the line (press ) first, and then press . The highlighted expression or number is re-entered. If the previous line is an expression containing the ANS, the calculation is repeated iteratively. Getting started 1-21 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 32
HINT You can use the last result as the first expression in the edit line without pressing ANS. Pressing , , , or , (or other operators that 's display history. A value in ANS is stored internally with the full precision of the calculated result, whereas the displayed numbers match the display - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 33
an answer in a variable and use the variable in later calculations. There are 27 variables available for storing real values. These are A to Z and θ. See Chapter expression to the position of the cursor in the edit line. Displays the current expression in standard mathematical form. Deletes - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 34
Clearing the display history It's a good habit to clear the display history ( CLEAR) whenever you have finished working in HOME. It saves calculator memory to clear the display history. Remember that all your previous inputs and results are saved until you clear them. Using fractions To work - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 35
Setting fraction precision The fraction precision setting determines the precision in which the HP 39G/40G converts a decimal value to a fraction. The greater the precision value that is set, the closer the fraction is to the decimal value. By choosing a precision - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 36
and enter the calculation. 3 23 4 57 8 3. Evaluate the calculation. Converting decimals to fractions To convert a decimal value to a fraction: 1. Set the number mode to Fraction. 2. Either retrieve the value from the History, or enter the value on the command line. 3. Press to convert - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 37
enter. In this example, the fraction precision is set to 6. The top calculation returns the correct result. The bottom one does not. • To convert is set to 6. Complex numbers Complex results To enter complex numbers The HP 39G/40G can return a complex number as a result for some math functions. - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 38
in and press . 45 Z 0 Catalogs and editors The HP 39G/40G has several catalogs and editors. You use them to create and manipulate objects. They access features and stored values (numbers or text or other items) that are independent of aplets. • A catalog lists items, which you can delete or - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 39
in the Plot view status line are the PREDY values. On the HP 38G, the Trace function would select known data points only. Inference aplet To complement the Statistics aplet, a new Inference aplet has been added. Use this aplet to perform hypothesis tests and determine confidence intervals. See - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 40
- HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 41
an expression (Symbolic view) Choose the aplet from the Aplet Library. Press or to select an aplet. The Function, Parametric, Polar, and Sequence aplets start in the Symbolic view. If the highlight is on an existing expression, scroll to an empty line-unless you don't mind writing over the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 42
define X(T) and Y(T). The only independent variable in the expressions is T. - For a Polar definition, enter an expression to define R(θ). The only independent variable in the expression is of n only. In this case, the calculator inserts the first two terms based on the expression that you define - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 43
Enter the expressions in the Function aplet's Symbolic view. A B F1 F2 3. Highlight F3(X). In HOME 4. Press Note how the values for F1(X) and F2(X) are substituted into F3(X). You can also evaluate any expression in HOME by entering it into the edit line and pressing . For example, define F4 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 44
Key CHARS CLEAR Meaning Copies the highlighted expression to the edit line for editing. Press when done. Checks/unchecks the current expression ( independent variable in the Polar aplet. Or, you can use the key on the keyboard. Enters the independent variable in the Sequence aplet. Or, you can - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 45
expression in the Symbolic view, press . To adjust the appearance of the graph or the interval that is displayed, you can change the Plot view settings " plots in every pixel column. Parametric aplet: Specifies the tvalues (T) for the graph. Polar aplet: Specifies the angle (θ) value range for - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 46
aplet: Specifies the index (N) values for the graph. TSTEP For Parametric plots: the increment for the independent variable. θSTEP For Polar plots: the increment value for the independent variable. SEQPLOT For Sequence aplet . Connect the plotted points. (The Sequence aplet always connects them - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 47
or N or θ) value. Enter the value and press . The cursor jumps to the point on the graph that you entered. Function aplet only: Turns on menu list for root-finding functions (see "Analyse graph with FCN functions" on page 3-3. Displays the current, defining expression. Press to restore the menu - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 48
other column, whereas tracing always uses every column. In Function and Sequence Aplets: You can also scroll (move the cursor) left or right beyond To jump directly to a value To turn trace on/ off Zoom within a graph ZOOM options To jump straight to a value rather than using the Trace function, - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 49
the vertical axis so that the display shows a representative piece of the plot, for the supplied x axis settings. (For Sequence and Statistics aplets, autoscaling rescales both axes.) The autoscale process uses the first selected function only to determine the best scale to use. Rescales both axes - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 50
or 81/3 grads; rescales vertical axis so 1 pixel = 0.1 unit. (Not in Sequence or Statistics aplets.) Returns the display to the previous zoom, or if there has been only one zoom, un-zoom displays the graph with the original plot settings. The following screens show the effects of zooming options on - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 51
X-Zoom In: X-Zoom In Now un-zoom. X-Zoom Out: X-Zoom Out Now un-zoom. Y-Zoom In: Y-Zoom In Now un-zoom. Y-Zoom Out: Y-Zoom Out Zoom Square: Square Aplets and their views 2-11 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 52
a greater scale distance appears on the screen. Zooming in divides the scale by the factor, so that a shorter scale distance appears on the screen. 2-12 Aplets and their views - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 53
Other views for scaling and splitting the graph The preset viewing options menu ( ) contains options for on a trigonometric scale. It also contains split-screen options. In certain aplets, for example those that you download from the world wide web, the preset viewing options menu can also - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 54
you two simultaneous views of the plot. 1. Press . Select Plot-Detail and press . The graph is plotted twice. You can now zoom in on the right side. 2. Press , select the keys to move the cursor from one graph to another. 4. To return to a full Numeric (or Plot) view, press (or ). 2-14 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 55
an existing plot without erasing that plot, then use Overlay Plot instead of . Note that tracing follows only the current functions from the current aplet. Decimal scaling is the default scaling. If you have changed the scaling to Trig or Integer, you can change it back with Decimal. Integer - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 56
and NUMSTEP. Effectively, the menu key allows you to make the table match the pixel columns in the graph view. 2. When done, press to view the table of numbers. The following table details the fields on reset the default values for all table settings, press CLEAR. 2-16 Aplets and their views - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 57
changing NUMSTEP.) Changes intervals for independent variable to π/24 radian or 7.5 degrees or 81/3 grads. Starts at zero. Returns the display to the previous zoom. Aplets and their views 2-17 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 58
the independentvariable values you want. The dependent values are then calculated and displayed. Build a table 1. Start with an expression defined (in Symbolic view) in the aplet of your choice. Note: Function, Polar, Parametric, and Sequence aplets only. 2. In the Numeric Setup ( Build Your Own - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 59
menu keys Key CLEAR Meaning Puts the highlighted independent value (X, T, θ, or N) into the edit line. Pressing replaces this variable with its current value. Inserts a row of zero values at the position of the highlighted row. Clears all data from the table. Aplets and their views 2-19 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 60
positive and negative y values, you need to define two equations as follows: y = 9 - x2 and y = - 9 - x2 1. In the Function aplet, specify the functions. Select Function √9 √9 2. Reset the graph setup to the default settings. SETUP-PLOT CLEAR 3. Plot the two functions and hide the menu so that you - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 61
About the Function aplet The Function aplet enables you to explore up to 10 real-valued, rectangular functions y in terms of x. For example y = 2x + 3 . Once you have defined a function you can: • create graphs to find roots, intercepts, slope, signed area, and extrema • create tables to evaluate - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 62
aplet's Symbolic view screen. They are labeled F1(X) to F0(X). Highlight the function definition field you want to use, and enter an expression. (You can press to delete an existing line, or CLEAR to clear all lines.) 1 3 2 Set up the plot You can change the scales of the x and y axes, graph - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 63
6 times Note: By default, the tracer is active. 8. Jump from the linear function to the quadratic function. Analyse graph with FCN functions 9. Display the Plot view menu. Function aplet From the Plot view menu, you can use the functions on the FCN menu to find roots, intersections, slopes, and - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 64
function 10. Find the greater of the two roots of the quadratic function. Note: Move the cursor to the graph of the quadratic equation by pressing the or key. Then move the cursor so that it is near x = intersection point closest to the current cursor position are displayed. 3-4 Function aplet - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 65
. Select Signed area 15. Move the cursor to x = -1 by pressing the or key. 16. Press to accept using F2(x) = (x + 3)2 - 2 as the other boundary for the integral. 17. Choose the end value for x. 2 The cursor jumps to x = -2 on the linear function. Function - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 66
18. Display the numerical value of the integral. Note: See "Shading area" on page 3-10 for another method of calculating area. To find the extremum of the quadratic HINT 19. Move the cursor to See "Setting up the table (numeric view setup)" on page 2-16 for more information. 3-6 Function aplet - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 67
22. Match the table settings to the pixel columns in the graph view. Explore the table 23. Display a table of numeric values. To navigate around a table 24. Move to X = -5.9. access the zoom options 26. Zoom in on X = 10 by a factor of 4. Note: NUMZOOM has a setting of 4. In Function aplet 3-7 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 68
act on the currently selected graph. The results of the FCN functions are saved in the following variables: • AREA • EXTREMUM • ISECT • ROOT • SLOPE For example, if you use the ROOT function to find the root of a plot, you can use the result in calculations in Home. 3-8 Function aplet - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 69
FCN or to choose a variable To access FCN variable in the Function aplet's Symbolic view: Select Plot FCN or to choose a variable FCN functions labeled EXTR: instead of ROOT:. (The root-finder is also used in the Solve aplet. See also "Interpreting results" on page 7-6.) The cursor is moved to the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 70
the numeric integral. (If there Intersection to find the intersection of two graphs nearest the cursor. (You need to shaded. 1. Open the Function aplet. The Function aplet opens in the Symbolic view key to shade in the area. 9. Press to calculate the area. The area measurement is displayed near the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 71
Plotting a piecewise defined function example Suppose you wanted to graph the following piecewise defined function. f(x) = x+2 x2 4-x ;x ≤ -1 ;-1 < x ≤ 1 ;x ≥ 1 1. Open the Function aplet. Select Function 2. Highlight the line you want to use, and enter the expression. (You can press - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 72
- HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 73
equations in which both x and y are defined as functions of t. They take the forms x = f(t) and y = g(t) . Getting started with the Parametric aplet The following example uses the parametric equations x(t) = 3 sin t y(t) = 3 cost Note: This example will produce a circle. For this example to work - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 74
3. Set the angle measure to degrees. MODES Select Degrees Set up the plot 4. Display the graphing options. PLOT You can see the Plot Setup input form has two fields not included in the Function aplet, TRNG and TSTEP. TRNG specifies the range of t values. TSTEP specifies the step value between - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 75
being plotted are 120° apart instead of nearly continuous. You are able to explore the graph using trace, zoom, split screen, and scaling functionality available in the Function aplet. See "Exploring the graph" on page 2-7 for further information. 9. Display the table of numeric values. You can see - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 76
- HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 77
Getting started with the polar aplet Open the Polar 1. Open the Polar aplet. aplet Select Polar Define the expression Like the Function aplet, the Polar aplet opens in the Symbolic view. 2. Define the polar equation r = 2π cos(θ ⁄ 2) cos(θ)2 . 2 π 2 Specify plot settings 3. Specify the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 78
the numbers 5. Display the Plot view menu key labels. The Plot view options available are the same as those found in the Function aplet. See "Exploring the graph" on page 2-7 for further information. 6. Display the table of values θ for and R1. The Numeric view options available are the same as - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 79
, U2(n) • in any combination of the above. Getting started with the Sequence aplet The following example defines and then plots an expression in the Sequence aplet. Open the Sequence aplet 1. Open the Sequence aplet. Select Sequence The Sequence aplet starts in the Symbolic view. Sequence - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 80
Un = Un - 1 + Un - 2 for n > 3 . In the Symbolic view of the Sequence aplet, highlight the U1(1) field and begin defining your sequence. 1 1 Note: You can use the , , and view. - A Stairsteps graph plots n on the horizontal axis and Un on the vertical axis. - A Cobweb graph plots Un-1 on the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 81
Plot the sequence 4. Plot the Fibonacci sequence. 5. In Plot Setup, set the SEQPLOT option to Cobweb. SETUP-PLOT Select Cobweb Display the table 6. Display the table of numeric values for this example. Sequence aplet 6-3 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 82
- HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 83
the expression have a value of zero. You can use the Solve aplet to solve an equation for any one of its variables. When the Solve aplet is started, it opens in the Solve symbolic view. • In equations, for example, should be solved using matrices or graphs in the Function aplet. Solve aplet 7-1 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 84
27.78 m/sec (100 kph) in a distance of 100 m. The equation to solve is: v2 = u2 + 2ad Open the Solve aplet 1. Open the Solve aplet. Select Solve The Solve aplet starts in the Symbolic view. Define the equation Define known variables 2. Define the equation. V U 2 A D Note: You can use the menu - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 85
graph will be a horizontal line. The other graph will be Y = U2 + 2AD , with U = 16.67 and D = 100 , or Y = 200A + 277.8889 . This graph is also a line. The desired solution is the value of A where these two lines intersect. 6. Plot the equation for variable A. Select Auto Scale Solve aplet 7-3 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 86
7. Trace along the graph representing the left member of the equation until the cursor nears on page 7-8 for more information. Solve aplet's NUM view keys The Solve aplet's NUM view keys are: Key CLEAR Meaning Copies the highlighted value to the edit line for editing. Press when done. Displays a - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 87
solution. In this case, only the solution closest to the initial guess is returned. Number format You can change the number format for the Solve aplet in the Numeric Setup view. The options are the same as in Home MODES: Standard, Fixed, Scientific, and Engineering. For the latter three, you also - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 88
three messages. Press to clear the message. Message Zero Sign Reversal Extremum Condition The Solve aplet found a point where the value of the equation (or the root of the expression) is zero within the calculator's 12-digit accuracy. Solve found two points where the value of the equation has - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 89
relating to the solve process. For example, the solution that the Solve aplet finds is not a solution, but the closest that the function gets to The RootFinder at work You can watch the process of the root-finder calculating and searching for a root. Immediately after pressing to start the root- - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 90
and a negative solution. However, we are concerned only with positive solutions, since only positive distance makes sense. 1. Select the Solve aplet and enter the equation. Select Solve X V T A T 2 2. Find the solution for T (time) when X=30, V=2, and A=4. Enter the values for X, V, and - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 91
make the YRNG -5 to 35. Keep the XRNG default of -6.5 to 6.5. SETUP-PLOT 5 35 4. Plot the graph. 5. Move the cursor near the positive (right-side) intersection. This cursor value will be an initial guess for T. . 7. Ensure that the T value is highlighted, and solve the equation. Solve aplet 7-9 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 92
names defined for other types, such as M1 (a matrix variable). Home variables HINT All home variables (other than those for aplet settings, like Xmin and Ytick) are global, which means they are shared throughout the different aplets of the calculator. A value that is assigned to a home variable - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 93
8 Statistics aplet About the Statistics aplet The Statistics aplet can store up to ten separate data sets at one time. It can do one-variable or two-variable statistical analysis of one or more sets of data. The Statistics aplet starts with the Numeric view which is used to enter data. The Symbolic - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 94
in the Numerical view. 1VAR/2VAR menu key label At any time the Statistics aplet is configured for only one of two types of statistical explorations: one-variable ( ) or two- the columns. 2 1 3 5 5 4 to move to the next column 1400 1100 2890 920 2265 2200 8-2 Statistics aplet - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 95
. In this example, we will create just one: S1. 5. Specify the columns that hold the data you want to analyze. Explore statistics Setup plot Statistics aplet You could have entered your data into columns other than C1 and C2. 6. Find the mean advertising time (MEANX) and the mean sales (MEANY - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 96
Plot the graph 9. Plot the graph. Draw the regression curve Display the equation for best linear fit 10. Draw the regression curve (a curve to fit the data points). This draws the regression line for the best linear fit. 11. Return to the Symbolic view. 12. Display the equation for the best - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 97
Jump to the indicated point on the regression line. 6 Observe the predicted yvalue in the left bottom corner of the screen. Entering and editing statistical data The Numeric view ( ) is used to enter data into the Statistics aplet store statistical data values by copying - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 98
view keys The Statistics aplet's Numeric view keys are: Key CLEAR Meaning Copies the highlighted item into the edit line. Inserts a zero value -variable or two-variable statistics. This setting affects the statistical calculations and plots. The label indicates which setting is current. Computes - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 99
measurements 160cm, 165cm, 170cm, 175cm, 180cm. 1. Open the Statistics aplet. Select Statistics 2. Enter the measurement data. 160 165 170 175 180 Ensure the / menu key label reads . Press to see the statistics calculated from the sample data in C1. Press the key to scroll to further - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 100
from this window are: Key Meaning Copies the column variable (or variable expression) to the edit line for editing. Press when done. Checks/unchecks the current data set. Only the checkmarked data set(s) the highlighted variable or the current character in the edit line. 8-8 Statistics aplet - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 101
Statistics aplet Key CLEAR Meaning (Continued) Resets default specifications for the data sets or clears the edit line (if it was active). Note: If CLEAR is used the data sets will need to be selected again before re-use. To continue our example, - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 102
another Statistics view (like ), or you can switch to another aplet or HOME. In the Numeric view of the Statistics aplet, highlight the data value to change. Type a new value and press , or press to copy the value to the edit line for modification. Press after modifying the value on the edit - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 103
regression model (2VAR) The Symbolic view includes an expression (Fit1 through Fit5) that defines the regression model, or "fit", to use for the regression There are three ways to select a regression model: • Accept the default option to fit the data to a straight line. • Select one of the available - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 104
Fit model Meaning Linear (Default.) Fits the data to a straight line, y = mx+b. Uses a least-squares fit. Logarithmic Exponential Power growth. You can store a positive real value in L, or-if L=0-let L be computed automatically. User Defined Define your own User Defined. 8-12 Statistics aplet - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 105
. Maximum data value in data set. When the data set contains an odd number of values, the data set's median value is not used when calculating Q1 and Q3 in the table above. For example, for the following data set: {3,5,7,8,15,16,17} only the first three items, 3, 5, and 7 are used - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 106
). Returns a value from 0 to 1, where 1 is the best fit. The relative error (for the selected fit). Provides a measure of accuracy for the fit. 8-14 Statistics aplet - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 107
select Auto Scale . Auto Scale can be relied upon to give a good starting scale which can then be adjusted in the Plot Setup view. Statistics aplet 8-15 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 108
the cursor is at the first data point for S2, at (1, 6). Press to move to the next data point and display information about it. To connect the data points as they are plotted, checkmark CONNECT in the second page of the Plot Setup. This is not a regression curve. 8-16 Statistics aplet - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 109
the y-intercept=2.2657. The correlation coefficient is stored in the CORR variable. It is a measure CORR relates to the linear model. The relative error is stored in a variable named RELERR. The relative error provides a stored in the variables when you access the Symbolic view. Statistics - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 110
aplets. See "Setting up the plot (Plot view setup)" on page 2-5. Settings unique to the Statistics aplet bar. You can limit the range to Connected points (2VAR) CONNECT (on the second page), when checkmarked, connects the data points as they are plotted. The resulting line is not the regression - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 111
Trouble-shooting a plot If you have problems plotting, check that you have the following: • The correct or menu label on (Numeric view). • The correct fit (regression model), if the data set is twovariable. • is the same length as the data column that it refers to. Statistics aplet 8-19 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 112
. These options are described in"Exploring the graph" on page 2-7. Statistics aplet's PLOT view keys Key Meaning CLEAR Erases the to fit the data points according to the current regression model. (2var statistics only) Enables you to specify a value on the line of best fit to jump to or a data - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 113
calculated to fit the data according to the specified fit. Find predicted values HINT 1. In Plot view, draw the regression curve for the data set. 2. Press to move to the regression PREDX and PREDY into the edit line, or you can copy these uses the most recently calculated curve. In order to - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 114
- HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 115
9 Inference aplet About the Inference aplet The Inference capabilities include calculation of confidence intervals and hypothesis tests based on the Normal Z-distribution or Student's t-distribution. Based on the statistics from one or two samples, you can test hypotheses and find confidence - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 116
the Symbolic view. Inference aplet's SYMB view keys The table below summarizes the options available in Symbolic view. Hypothesis Tests Z: 1 µ, the Z-Test on 1 mean Z: µ1 - µ2, the Z-Test on the difference of two means Z: 1 P, the Z-Test on 1 proportion Z: P1 - P2, the Z-Test on the difference in - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 117
use the example data for the Z-Test on 1 mean to illustrate how the aplet works and what features the various views present. 1. Select the Hypothesis Test inferential method. Select HYPOTH TEST 2. Define the type of test. Z-Test: 1 µ 3. Select an alternative hypothesis. µ< µ 0 Inference aplet 9-3 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 118
and are explained in the feature of this aplet. Display on-line help 5. Display the on-line help. 6. To close the on-line help, press . Display test results in numeric format 7. Display the test results in numeric format. The test distribution value and its associated probability are displayed - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 119
lines mark the critical value(s) of the test, as well as the value of the test statistic. The rejection region is marked R and the test numeric results are displayed between the horizontal axes. Importing Sample Statistics from the Statistics aplet The Inference aplet supports the calculation - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 120
pressing the fifth menu key until is displayed as its menu label. Calculate statistics 4. Calculate statistics. The mean of 0.592 seems a little large compared to statistics window. Open Inference aplet 6. Open the Inference aplet and clear current settings. Select Inference 9-6 Inference - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 121
statistic type. Select T-Int: 1 µ Set up the interval calculation 9. Set up the interval calculation. Note: The default values are sample data from the on-line help example. SETUP-NUM Import the data 10. Import the data from the Statistics aplet. Note: The data from C1 is displayed by default - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 122
. You can see, from the second text row, that the mean is contained within the 90% confidence interval (CI) of 0.3469814 to 0.8370186. Note: The graph is a simple, generic bell-curve. It is not meant to accurately represent the t-distribution with 5 degrees of freedom. 9-8 Inference - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 123
of one or two populations. The tests are based on statistics of samples of the populations. The HP 39G/40G hypothesis tests use the Normal Z-distribution or Student's t-distribution to calculate probabilities. One-Sample Z-Test Menu name Inputs Z-Test: 1 µ On the basis of statistics from - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 124
Test Menu name Inputs Z-Test: µ1-µ2 On the basis of two samples, each from a separate population, this test measures the strength of the evidence for a selected hypothesis against the null hypothesis. The null hypothesis alternative hypotheses against which to test the null hypothesis: H1 µ1 < µ2 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 125
Test Menu name Inputs Z-Test: 1P On the basis of statistics from a single sample, this test measures the strength of the evidence for a selected hypothesis against the null hypothesis. The null hypothesis following alternative hypotheses against which to test the null hypothesis: H1:π < π0 H1:π > - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 126
2 proportion Z-Test measures the strength of the evidence for a selected hypothesis against the null hypothesis. The null hypothesis is that (H0: π1= π2). You select one of the following alternative hypotheses against which to test the null hypothesis: H1 π1 < π2 H1 π1 > π2 H1 π1 ≠ π2 The inputs are - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 127
assumed value, Η0 :µ = µ0 You select one of the following alternative hypotheses against which to test the null hypothesis:) H1:µ < µ0 H1:µ > µ0 H1:µ ≠ µ0 The inputs are: Inference aplet Field name x Sx n µ0 α Definition Sample mean. Sample standard deviation. Sample size. Hypothetical population - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 128
the evidence for a selected hypothesis against the null hypothesis. The null hypothesis is that the two populations means are equal (H 0: µ1 = µ2). You select one of the following alternative hypotheses against which to test the null hypothesis H1:µ1 < µ2 H1:µ1 > µ2 H1:µ1 ≠ µ2 9-14 Inference aplet - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 129
level. _Pooled? Check this option to pool samples based on their standard deviations. The results are: Result Test T Prob Critical T Description T-Test statistic. Probability associated with the T-Test statistic. Boundary values of T associated with the α level that you supplied. Inference - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 130
calculations that the HP 39G/40G can perform are based on the Normal Z-distribution or Student's t-distribution. One-Sample Z-Interval Menu name Inputs Z-INT: 1 µ This option uses the Normal Z-distribution to calculate value for Z. Lower bound for µ. Upper bound for µ. 9-16 Inference aplet - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 131
Interval Menu name Inputs Z-INT: µ1- µ2 This option uses the Normal Z-distribution to calculate a confidence interval for the difference between the means of two populations, µ1 - ∆ µ Max Description Critical value for Z. Lower bound for µ1 - µ2. Upper bound for µ1 - µ2. Inference aplet 9-17 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 132
Z-Interval Menu name Inputs Z-INT: 1 P This option uses the Normal Z-distribution to calculate a confidence interval for the proportion of successes in a population for the case in which π Max Description Critical value for Z. Lower bound for π. Upper bound for π. 9-18 Inference aplet - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 133
Interval Menu name Inputs Z-INT: P1 - P2 This option uses the Normal Z-distribution to calculate a confidence interval for the difference between the proportions of successes in two populations. The inputs Upper bound for the difference between the proportions of successes. Inference aplet 9-19 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 134
T-Interval Menu name Inputs T-INT: 1 µ This option uses the Student's t-distribution to calculate a confidence interval for µ, the true mean of a population, for the case in which the T µ Min µ Max Description Critical value for T. Lower bound for µ. Upper bound for µ. 9-20 Inference aplet - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 135
Menu name Inputs T-INT: µ1 - µ2 This option uses the Student's t-distribution to calculate a confidence interval for the difference between the means of two populations, µ1 − µ2, when µ Max Description Critical value for T. Lower bound for µ1 - µ2. Upper bound for µ1 - µ2. Inference aplet 9-21 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 136
- HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 137
10 Using mathematical functions Math functions The HP 39G/40G contains many math functions. The functions are grouped in categories. For example, the Matrix category contains functions for manipulating matrices. The Probability category (shown as Prob. on the MATH menu) contains functions for - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 138
you want and press . This copies the function name (and an initial parenthesis, if appropriate) to the edit line. Function categories • Calculus • Loop • Stat-Two • Complex • Matrices (Two-variable statistics) numbers • Polynomial • Symbolic • Constant • Probability • Hyperbolic trig - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 139
of 10)" on page 1-19. For a description, see "S" on page 10-7. x-1 The multiplicative inverse function finds the inverse of a square matrix, and the multiplicative inverse of a real or complex number. Also works on a list containing only these object types. Using mathematical functions 10 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 140
Keyboard functions The most frequently used functions are available directly from the keyboard. Many of the keyboard functions also accept complex numbers as arguments. ,,, ex Add, Subtract, Multiply, Divide. Also accepts complex numbers, lists and matrices. value1+ value2, etc. Natural - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 141
ASIN ACOS ATAN √ Arc sine: sin-1x. Output range is from -90° to 90°, -π/2 to π/2, or -100 to 100 grads. Inputs and outputs depend on the current angle format. Also accepts complex numbers. ASIN(value) Example ASIN(1) returns 90 (Degrees mode). Arc cosine: cos-1x. Output range is from 0° to 180°, 0 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 142
Power (x raised to y). Also accepts complex numbers. value^power Example 2^8 returns 256 ABS Absolute value. For a complex number, this is x2 + y2 . ABS(value) ABS((x,y)) Example ABS(-1) returns 1 ABS((1,2)) returns 2.2360679775 n Takes the nth root of x. root NTHROOT value Example 3 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 143
line, use a formal name (S1, etc.) for a non-numeric result. See "Finding derivatives" on page 10-23. variable(expression) Example s1(s12+3*s1) returns 2*s1+3 Integrates expression from lower to upper limits with respect to the variable of integration. To find the definite integral, both limits - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 144
Complex number functions These functions are for complex numbers only. You can also use complex numbers with all trigonometric and hyperbolic functions, and with some real-number and keyboard functions. Enter complex numbers in the form (x,y), where x is the real part and y is the imaginary part. - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 145
Constants e i MAXREAL MINREAL π The HP 39G/40G has an internal numeric representation for these constants. Natural logarithm base. Internally represented as 2.71828182846. e Imaginary value for √−1 , the complex number (0,1). i Maximum real number. Internally - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 146
(value) Natural exponential. This is more accurate than ex due to limitations of the power function. EXP(value) Exponent minus 1 : ex-1. This is more accurate than EXP when x is close to zero. EXPM1(value) Natural log plus 1 : ln(x+1). This is more accurate than the natural logarithm function when - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 147
a sequence without using the Symbolic view of the Sequence aplet. If used with | ("where"), RECURSE will step through the evaluation. RECURSE(sequencename,term-n,term1,term2) Example RECURSE(U,U(N-1)*N,1,2) U1(N) Stores a factorial-calculating function named U1. When you enter U1(5), for example - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 148
Polynomial functions Polynomials are products of constants (coefficients) and variables raised to powers (terms). POLYCOEF Polynomial coefficients. Returns the coefficients of the polynomial with the specified roots. POLYCOEF ([roots]) Example To find the polynomial with roots 2, -3, 4, -5: - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 149
It is better to store the results of POLYROOT to a matrix. For example, POLYROOT([1,0,0,-8] M1 will store the three complex cube roots of 8 to matrix M1 as a complex vector. Then you can see them easily by going to the Matrix Catalog. and access them individually in calculations by referring to M1 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 150
UTPC UTPF UTPN UTPT HINT The setting of Time will be different for each calculator, so using RANDSEED(Time) is guaranteed to produce a set of numbers which are as close to random as possible. You can set the seed using - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 151
of π. FLOOR Greatest integer less than or equal to value. FLOOR(value) Example FLOOR(-3.2) returns -4 FNROOT Function root-finder (like the Solve aplet). Finds the value for the given variable at which expression most nearly evaluates to zero. Uses guess as initial estimate. FNROOT(expression - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 152
HMS→ →HMS INT MANT MAX MIN 10-16 Hours-minutes-seconds to decimal. Converts a number or expression in H.MMSSs format (time or angle that can include fractions of a second) to x.x format (number of hours or degrees with a decimal fraction). HMS→(H.MMSSs) Example HMS→(8.30) returns 8.5 Decimal to - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 153
MOD % %CHANGE %TOTAL RAD→DEG ROUND Modulo. The remainder of value1/value2. value1 MOD value2 Example 9 MOD 4 returns 1 x percent of y; that is, x/100*y. %(x,y) Example %(20,50) returns 10 Percent change from x to y, that is, 100(y-x)/x. %CHANGE(x,y) Example %CHANGE(20,50) returns 150 Percent total - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 154
SIGN TRUNCATE XPON Sign of value. If positive, the result is 1. If negative, -1. If zero, result is zero. For a complex number, this is the unit vector in the direction of the number. SIGN(value) SIGN((x,y)) Examples SIGN (-2) returns -1 SIGN((3,4)) returns (.6,.8) Truncates value to decimal places - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 155
) as well as the MATH menu. = (equals) Sets an equality for an equation. This is not a logical operator and does not store values. (See "Test functions" on page 1020.) expression1 = expression2 ISOLATE Isolates the first occurrence of variable in expression=0 and returns a new expression, where - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 156
expression) Examples QUOTE(SIN(45)) F1(X) stores the expression SIN(45) rather than the into F1(X) in the Function aplet. Evaluates expression where each given Returns 1 if true, 0 if false. value1≤value2 = = Equals (logical test). Returns 1 if true, 0 if false. value1= =value2 ≠ Not equal - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 157
AND IFTE NOT OR XOR Compares value1 and value2. Returns 1 if they are both nonzero, otherwise returns 0. value1 AND value2 If expression is true, do the trueclause; if not, do the falseclause. IFTE(expression,trueclause,falseclause) Example IFTE(X>0,X2,X3) Returns 1 if value is zero, otherwise - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 158
on the command line and press , the calculator retrieves the values for A and B from memory and substitutes them in the calculation. Using formal variables To perform symbolic calculations, for example symbolic differentiations and integrations, you need to use formal names. The HP 39G/40G has six - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 159
, and returns a numeric result. For example, consider the function: dx( sin (x 2 ) + 2 cos (x) ) 1. Enter the differentiation function onto the command line, substituting S1 in place of X. S1 S1 2 S1 2. Evaluate the function. 3. Show the result. HP 39G HP 40G Using mathematical functions 10-23 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 160
sin (x2) + 2 cos x : 1. Access the Function aplet's Symbolic view and define F1. 2 2. Define F2(X) as the derivative of F(1). F1 3. Select F2(X) and evaluate it. 4. Press to display the result. (Use the arrow keys to view the entire function.) HP 39G HP 40G You could also just define F1 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 161
integral of ∫3x2 - 5dx use: ∫(0, S1, 3X2 - 5, X) 1. Enter the function. 0 S1 3 X 5 X If the Decimal Mark setting in the Modes input form ( MODES)is set to Comma, use instead of . 2. Show the result format. 3. Press to close the show window. 4. Copy the result and evaluate. HP 39G HP 40G - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 162
The 'extra' constant of 6.4 results from the substitution of x = 0 into (x - 2)5/5, and should be disregarded if an indefinite integral is required. 10-26 Using mathematical functions - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 163
The HP 39G/40G has approximately 232K of user memory. The calculator uses this memory to store variables, perform computation, and store history. A variable is an object that you create in memory to hold data. The HP 39G/40G has two types of variables, home variables and aplet variables - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 164
the other hand, the variable Ans always contains the most recent result to full precision. To store a value 1. On the command line, enter the value or the calculation for the result you wish to store. 2. Press 3. Enter a name for the variable. 4. Press . 11-2 Variables and memory management - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 165
view display history, for example the results of a previous calculation, you need to copy it to the command line, then store it. 1. Perform the calculation for the result you want to store. 3 86 3 2. Move the highlight to the result you wish to store. 3. Press to copy the result to the command - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 166
You use the VARS menu to access all variables in the calculator. The VARS menu is organised by category. For each of the first letter in the category to select a variable category. For example, to select the Matrix category, press . Note: In this instance, there is no need to press the ALPHA key. - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 167
. The selected object appears on the command line. Example Note: The VARS menu can also be used to enter the names or values of variables into programs. This example demonstrates how to use the VARS menu to add the contents of two list variables, and to store the result in another list variable - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 168
: Because the option is highlighted, the variable's name, rather than its contents, is copied to the command line. 8. Insert the + operator and select the L2 variable from the List variables. 9. Store the answer in the List catalog L3 variable. L3 Note: You can also type list names directly from - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 169
via programming commands. See "To store into a graphics variable" on page 14-5 for more information on storing graphic object via the sketch view. Library Aplet library variables can store aplets that you have created, either by saving a copy of a standard aplet, or downloading an aplet from - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 170
calculations such as roots and intersections. See the Reference Information chapter for more information about aplet variables. Category Function Parametric Polar Sequence name of the variable onto the edit line, press . ( is the default setting.) 6. To copy the value of the variable into the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 171
Memory Manager to determine the amount of available memory on the calculator. You can also use Memory Manager to organize memory. For example, if the available memory is low, you can use the Memory Manager to determine which aplets or variables consume large amounts of memory. You can make deletions - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 172
- HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 173
matrix calculations in HOME and in programs. The matrix and each row of a matrix appear in brackets, and the elements and rows are separated by commas. For example, the following matrix enter matrices directly in the command line, or create them in the matrix editor. Vectors Vectors are one- - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 174
type, then opens an empty matrix with the highlighted name. Transmits the highlighted matrix to another HP 39G/40G or a disk drive. See "Sending and receiving aplets" on page 16-5. Receives a matrix from another HP 39G/40G or a disk drive. See "Sending and receiving aplets" on page 16-5. Clears the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 175
specifies that the cursor stays in the current cell when you press . 6. When done, press MATRIX to see the Matrix catalog, or press to return to HOME. The matrix entries are automatically stored. Matrices A matrix is listed with two dimensions, even if it is 3×1. A vector is listed with the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 176
aplets, programs, lists, and notes. 1. Align the HP 39G calculators' infrared ports. 2. Open the Matrix catalogs on both calculators. 3. Highlight the matrix to send. 4. Press 5. Press . on the receiving calculator. Matrices can also be transmitted to or from a computer a cable and Connectivity - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 177
the edit line. Start and end the matrix and each row with square brackets (the shifted and keys). 2. Separate each element and each row with a comma. Example: [[1,2],[3,4]]. 3. Press to enter and display the matrix. The left screen below shows the matrix [[2.5,729],[16,2]] being stored into M5 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 178
. The matrices can be real or complex. For the next four examples, store [[1,2],[3,4]] into M1 and [[5,6],[7,8]] into M2. Example 1. Create the first matrix. MATRIX 1 2 3 4 2. Create the second matrix. MATRIX 5 6 7 8 3. Add the matrices that you created. M1 M2 To multiply and divide - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 179
multiply the two matrices M1 and M2 that you created for the previous example, use the following keystrokes: M1 M2 To divide by a square matrix To multiply a matrix by a vector, enter the matrix first, then the vector. The number of elements in the vector must equal the number of columns in the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 180
the constants in the linear system. 5 7 1 3. Return to the Matrix catalog. The vector you created is listed as M1. MATRIX 4. Select the M2 variable and create a new matrix. Select Real matrix 5. Create a new matrix and enter the equation coefficients. 2 3 4 1 1 1 4 1 2 12-8 Matrices - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 181
in any aplet or in HOME. They are listed in the MATH menu under the Matrix category. They can be used in mathematical expressions-primarily in HOME-as well as in programs. • Functions always produce and display a result. They do not change any stored variables, such as a matrix variable. • Functions - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 182
commands are listed in the CMDS menu ( CMDS), in the matrix category. See "Matrix commands" on page 15-23 for details of the matrix commands available for use in programming. Functions differ from commands in that a function can be used in an expression. Commands cannot be used in an expression - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 183
permutation]]} The uppertriangular has ones on its diagonal. LU(matrix) Make Matrix. Creates a matrix of dimension rows × columns, using expression to calculate each element. If expression contains the variables I and J, then the calculation for each element substitutes the current row number for - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 184
RREF SCHUR SIZE SPECNORM SPECRAD SVD SVL 12-12 QR Factorization. Factors an m×n matrix into three matrices: {[[m×m orthogonal]],[[m×n uppertrapezoidal]],[[n×n permutation]]}. QR(matrix) Rank of a rectangular matrix. RANK(matrix) Row Norm. Finds the maximum value (over all rows) for the sums of - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 185
elements. (It is also equal to the sum of the eigenvalues.) TRACE(matrix) Transposes matrix. For a complex matrix, TRN finds the conjugate transpose. TRN(matrix) Examples Identity Matrix You can create an identity matrix with the IDENMAT function. For example, IDENMAT(2) creates the 2×2 identity - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 186
-Row Echelon Form The following set of equations x - 2y + 3z = 14 2x + y - z = - 3 4x - 2y + 2z = 14 1 -2 3 14 can be written as the augmented matrix 2 1 -1 -3 4 -2 2 14 which can then stored as a 3 × 4 real matrix in M1. You can use the RREF function to change this to reduced row echelon form - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 187
available, named L0 to L9. You can use them in calculations or expressions in HOME or in a program. Retrieve the list names from the VARS menu, or just are identical in behaviour to the columns C1.C0 in the Statistics aplet. You can store a statistics column to a list (or vice versa) and use any - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 188
list for editing. Transmits the highlighted list to another HP 39G/40G or a PC. See "Sending and receiving aplets" on page 16-5 for further information. Receives a list from another HP 39G/ 40G or a PC. See "Sending and receiving aplets" on page 16-5 for further information. Clears the highlighted - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 189
: Key CLEAR or Meaning Copies the highlighted list item into the edit line. Inserts a new value before the highlighted item. Deletes the highlighted item the list, you can store it in a variable by pressing listname . The list variable names are L0 through L9. This example stores the list {25, - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 190
Displaying and editing lists To display a list To display one element To edit a list • In the List catalog, highlight the list name and press . • In HOME, enter the name of the list and press . In HOME, enter listname(element#). For example, if L2 is {3,4,5,6}, then L2(2) returns 4. 1. Open - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 191
highlighted position. In this example, an element, with the value of 9, is inserted between the first and second elements in the list. 9 4. Press . To store one element In HOME, enter value listname(element). For example, to store the second element of L1 to 148, type 148 L1(2) . Lists 13-5 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 192
aplets, programs, matrices, and notes. 1. Align the HP 39G calculators' infrared ports. 2. Open the List catalogs on both calculators. 3. Highlight the list to send. 4. Press . 5. Press on the receiving calculator. Lists can also be transmitted to or from a computer a cable and Connectivity - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 193
functions. You can use them in HOME, as well as in programs. You can type in the name of the function, or you must have the same length, since the calculation pairs up the elements. If there are two arguments and one is a real number, then the calculation pairs the number with each element of the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 194
{x1 x2 ... xn} are {x2-x1 ... xn-xn-1}. ∆LIST(list1) Example In HOME, store {3,5,8,12,17,23} in L5 and find the first differences for the list. { 3,5,8,12, 17,23 } L 5 L Select LIST L5 Calculates a sequence of elements for a new list. Evaluates expression with variable from begin to end - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 195
12, 19},12) returns 3 Creates a list by reversing the order of the elements in a list. REVERSE(list) Calculates the number of elements in a list. SIZE(list) Also works with matrices. Calculates the sum of all elements in list. ΣLIST(list) Example ΣLIST({2,3,4}) returns 9. Sorts elements in ascending - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 196
input form ( MODES)is set to Comma, use instead of . 2. In HOME, store L1 into C1. You will then be able to see the list data in the Numeric view of the Statistics aplet. L1 C1 3. Start the Statistics aplet, and select 1-variable mode (press , if necessary, to display ). Select Statistics - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 197
4. In the Symbolic view, define H1 (for example) as C1 (sample) and 1 (frequency). Make sure that H1 is checkmarked. 5. Go to the Numeric view to display calculated statistics. See "One-variable" on page 8-13 for the meaning of each computed statistic. Lists 13-11 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 198
- HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 199
Introduction The HP 39G/40G has text and picture editors for entering notes and sketches. • Each aplet has its own independent Note view and Sketch view. Notes and sketches that you create in these views are associated with the aplet. When you save the aplet, or send it to another calculator, the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 200
Backspaces cursor and deletes character. Deletes current character. Starts a new line. Erases the entire note. Menu for entering variable names, and . Menu for entering math operations, and constants. Menu for entering program commands. Displays special characters. To type one, highlight it and - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 201
Stores the specified portion of the current sketch to a graphics variable (G1 through G0). Adds a new, blank page to the current sketch set. Displays next sketch in the sketch set. Animates if held down. Opens the edit line labels. To draw a line 1. In an aplet, press SKETCH for the Sketch view. - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 202
from the cursor's starting position to the cursor's current position. Press when you have finished. You can draw a line at any angle by moving the cursor. Draws a box from the cursor's starting position to the point at which you press . Draws a circle with the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 203
of a sketch 1. Press and type the text in the edit line. To lock the Alpha shift on, press (for uppercase) or the current page in the current sketch series, press . You can define a portion of a sketch inside a box, and then store that graphic into a graphics variable. 1. In the Sketch view, - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 204
4. Move the box to where you would like to copy the graphic, then press . The notepad Subject to available memory, you can store as many notes as you want in the Notepad ( NOTEPAD). These notes are independent of any aplet. The Notepad catalog lists the existing entries by name. It does - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 205
an aplet key to exit Notepad. Your work is automatically saved. Notepad Catalog keys Key CLEAR Meaning Opens the selected note for editing. Begins a new note, and asks for a name. Transmits the selected note to another HP 39G/40G or PC. Receives a note being transmitted from another HP 39G/40G - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 206
view. Note: To recall the name instead of the contents, press instead of . Suppose you want to copy the Note view from the current aplet into the note "Assignments" in the Notepad. 1. In the Notepad ( "Assignments". NOTEPAD), open the note 2. Press then press column. , highlight Note in the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 207
• storing and retrieving variables in programs • programming variables. HINT More information on programming, including examples and special tools, can be found at HP's calculators web site: www.hp.com/calculators The Contents of a Program Structured Programming Example An HP 39G/40G program - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 208
the last expression that you entered from the edit line in HOME, or the last data you entered in an input form. (If you press from HOME without entering any data, the HP 39G/40G runs the contents of Editline.) Editline is a built-in function. Program catalog menu Before starting to work with - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 209
keys are: Key or CLEAR Meaning Opens the highlighted program for editing. Prompts for a new program name, then opens an empty program. Transmits the highlighted program to another HP 39G/40G or to a disk drive. Receives the highlighted program from another HP 39G/40G or from a disk drive. Runs the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 210
Creating and editing programs Create a new program 1. Press PROGRM to open the Program catalog. 2. Press . The HP 39G/40G prompts you for a name. A program name can contain special characters, such as a space. However, if you use special characters and then run the program by typing it in HOME - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 211
editor. To enter functions (more to come) Edit a program 1. Press PROGRM to open the Program catalog. 2. Use the arrow keys to highlight the program you want to edit, and press . The HP 39G/40G opens the Program Editor. The name of your program appears in the title bar of the display. You can - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 212
CHARS Meaning Inserts the point. character at the editing Inserts space into text. Displays previous page of the program. Displays next page of the program. Moves up or down one line. Moves right or left one character. Alpha-lock for letter entry. Press A...Z to lock lower case. Backspaces - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 213
Home variable containing the last result), when the program has finished. If you start the program from the Program catalog, the HP 39G/40G returns you to the Program catalog when the program ends. Debug a program If you run a program that contains errors, the program will stop and you will see an - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 214
calculator. You can also send programs to, and receive programs from, a remote storage device (aplet disk drive or computer). This takes place via a cable connection and requires an aplet disk drive or specialized software running on a PC (such as a connectivity kit). You can delete any program - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 215
transferred with the aplet. See "SETVIEWS" on page 15-14 for information on the command. 5. Ensure that the new aplet is selected, then run the menu configuration program to configure the aplet's VIEWS menu. 6. Test the aplet and debug the associated programs.(Refer to "Debug a program" on page 15 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 216
naming convention To assist users in keeping track of aplets and associated programs, use the following naming convention when setting up an aplet's programs: • Start all program names with an abbreviation of the aplet name. We will use APL in this example. • Name programs called by menu entries - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 217
Each entry line after the command SETVIEWS is a trio that consists of a VIEWS menu text line (a space indicates none), a program name, and a number that defines the view to go to after the program has run its course. All programs listed here will transfer with an aplet when the aplet is transferred - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 218
This line specifies that the program to set the View menu (this program) is transferred with the aplet. The space character between the first set of quotes in the trio specifies that no menu option appears for the entry. You do not need to transfer this program with the aplet, but it allows users to - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 219
SETVIEWS again. You do not need to include this program for your aplet to work, but it is useful to specify that the program is attached to the aplet, and transmitted when the aplet is transmitted. 7. Return to the program catalog. The programs that you created should appear as follows: 8. You must - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 220
commands This section describes the commands for programming with HP 39G/40G. You can enter these commands in your program by typing them or by accessing them from the Commands menu. Aplet commands These commands control aplets. CHECK Checks (selects) the corresponding function in the current - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 221
that are called from the VIEWS menu are transferred when the aplet is transferred, for example to another calculator or to a PC. • As part of the VIEWS menu configuration, you can specify programs that you want transferred with the aplet, but are not called as menu options. For example, these can - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 222
If the Prompt item is "Start", then the ProgramName program runs whenever you start the aplet. This is useful for setting up a program to configure the aplet. Users can select the Start item from the Views menu to reset the aplet if they change configurations. You can also define a menu item - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 223
11 List Catalog 1 Plot 12 Matrix Catalog 2 Symbolic 13 Notepad Catalog 3 Numeric 14 Programs Catalog 4 Plot-Setup 15 Plot- aplet is Function. UNCHECK n Branch commands Branch commands let a program make a decision based on the result of one or more tests. Unlike the other programming - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 224
a trueclause is executed (or until all the test-clauses evaluate to false). Many conditions are automatically recognized by the HP 39G/40G as error conditions and are automatically treated as errors in programs. IFERR...THEN...END allows a program to intercept error conditions that otherwise would - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 225
the current program. STOP Drawing commands The Drawing commands act on the display. The scale of the display depends on the current aplet's Xmin, Xmax, Ymin, and Ymax values. The following examples assume the HP 39G/40G default settings with the Function aplet as the current aplet. ARC Draws - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 226
or draws that line if it doesn't already exist. Graphic commands The Graphic commands use the graphics variables G0 through G9-or the Page variable from Sketch-as graphicname arguments. The position argument takes the form (x,y). Position coordinates depend on the current aplet's scale, which is - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 227
→GROB GROBNOT GROBOR GROBXOR MAKEGROB PLOT→ Example →PLOT Programming Creates a graphic from expression, using font_size, and stores the resulting graphic in graphicname. Font sizes are 1, 2, or 3. If the fontsize argument is 0, the HP 39G/40G creates a graphic display like that created by the SHOW - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 228
graphic with given width and height, and stores it in graphicname. ZEROGROB graphicname;width;height: Loop commands Loop structures allow a program to execute a routine repeatedly. The HP 39G/40G evaluates test-clause and executes loop-clause sequence if the test is true. Because the test-clause is - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 229
from the specified matrix. DELCOL name;column_number DELROW Delete Row. Deletes the specified row from the specified matrix. DELROW name;row_number EDITMAT Programming Starts the Matrix Editor and displays the specified matrix. If used in programming, returns to the program when user presses - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 230
value. SCALE name;value;rownumber Multiplies the row of the matrix name by value, then adds this result to the second specified row. SCALEADD name;value;row1;row2 Extracts a sub-object-a portion of a list, matrix, or graphic from object-and stores it into name. start and end are each specified using - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 231
HP infrared printer, for example the HP 82240B printer. Note: The HP 40G following commands to prompt users for input during your program or to provide information to users. BEEP Beeps at the user chooses one. Each option is numbered, 1 through n. The result of the choose command is to store the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 232
is 4 (displayed on line 3) Displays the current date and time. DISPTIME To set the date and time, simply store the correct settings in time to 10:15 am). Matrix Editor. Opens the Matrix editor for the specified matrix. Returns to the program when user presses EDITMAT matrixname The EDITMAT - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 233
the program runs. This allows you to view the graphics created by the program. Cancel FREEZE by pressing any key. FREEZE Waits for a key, then stores the bottom of the form. The user enters a value and presses the menu key. The value that the user enters is stored in the variable name. The title, - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 234
type AREA IS . The position line MSGBOX NoteText " " π*A^2: will display the same message box as the previous example. Displays an input box with name as the title, and prompts for a value for name. name can only be one character in length. PROMPT name Halts program execution for the specified - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 235
be H1-H5, and column can be CO-C9. SETSAMPLE datasetname;column Stat-Two commands DO2VSTATS Calculates STATS using datasetname and stores the results in corresponding variables: MeanX, ΣX, ΣX2, MeanY, ΣY, ΣY2, ΣXY, Corr or S5 and column can be C0-C9. SETINDEP datasetname;column Programming 15-29 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 236
Storing and retrieving variables in programs The HP 39G/40G has both Home variables and Aplet variables. Home variables are used for real numbers, complex numbers, graphics, lists, and matrices. Home variables keep the same values in HOME and in aplets. Aplet variables are those whose values - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 237
coordinate-display mode in Plot view on or off. From Plot view, use the Menu mean key to toggle coordinate display on an off. In a program, type 1 Coord-to turn coordinate display on (default). 0 Coord-to turn coordinate display off. Contains the last value found by the Extremum operation in the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 238
solid crosshairs or inverted crosshairs. (Inverted is useful if the background is solid). From Plot Setup, check (or uncheck) InvCross or In a program, type: 1 InvCross-to invert the crosshairs. 0 InvCross -for solid crosshairs (default). Contains the last value found by the Intersection function in - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 239
and maximum independent variable values. Appears as the NRNG fields in the Plot Setup input form. From Plot Setup, enter values for NRNG. or In a program, type n1 Nmin n2 Nmax where n2 > n1 Recenters at the crosshairs locations when zooming. From Plot-Zoom-Set Factors, check (or uncheck) Recenter or - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 240
of all selected expressions. From Plot Setup, check (or uncheck) _SIMULT or In a program, type 1 Simult-for simultaneous graphing. 0 Simult-for sequential graphing. Contains the last value found by the Slope function in the Plot-FCN menu. Toggles type of 1-variable statistics plot between Histogram - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 241
field in the Plot Setup input form. From Plot Setup, enter values for TRNG. or In a program, type n1 Tmin n2 Tmax where n2 > n1 Turns tracing mode on or off in Plot view. In a program, type 1 Tracing-to turn Tracing mode on (default). 0 Tracing-to turn Tracing mode off. Defines the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 242
. From the Plot Setup input form, enter a value for Xtick. or In a program, type n Xtick where n > 0 Defines the distance between tick marks for the vertical Setup input form. From Plot Setup, enter values for XRNG. or In a program, type n1 Xmin n2 Xmax where n2 > n1 Defines the minimum and maximum - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 243
-ZOOM-Set Factors, enter the value for YZOOM. or In a program, type n YZOOM Symbolic-view variables The following aplet variables available in the Symbolic view. Angle Sets the angle mode. it from being evaluated before it is stored. Use CHARS to type the single quote mark. Programming 15-37 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 244
E1 Defines the type of fit to be used by the FIT operation in drawing the regression line. From Symbolic Setup view, specify the fit in the field for S1FIT, S2FIT, etc. or In a program, store one of the following constant names or numbers into a variable S1fit, S2fit, etc. 1. Linear 2. LogFit - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 245
control the Numeric view. The value of the variable applies to the current aplet only. C1...C9, C0 C0 through C9, for columns of data. Can contain lists. Enter data in the Numeric view or In a program, type LIST Cn where n = 0, 1, 2, 3 ... 9 Digits Number of decimal places to use for Number - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 246
, or Engineering in the Number Format field. or In a program, store the constant name (or its number) into the variable Format. current aplet is saved with a new name. Until then, HFormat is in effect. Example Scientific Format or 3 Format Defines the highlighted column in Numeric view. In a program, - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 247
, type n NumRow where n > 0 Defines the starting value for a table in Numeric view. From Num Setup, enter a value for NUMSTART. or In a program, type n NumStart Defines the step size (increment value) for an independent variable in Numeric view. From Num Setup, enter a value for NUMSTEP. or In - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 248
Corresponds to the and menu keys in Numeric View. In a program, store the constant name (or its number) into the variable StatMode. 1VAR =1, 2VAR=2. Example 1VAR StatMode or 1 StatMode Note variables The following aplet variable is available in Note view. NoteText Use NoteText to recall - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 249
such as angle measure, graphical or tabular settings, and annotations. • Transmit aplets between HP 39G calculators via an infra red link. • Download e-lessons (teaching aplets) from the HewlettPackard's Calculator web site. • Program new aplets. See chapter 15, Programming, for further details - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 250
HP 39G/40G or storage device. Opens the selected aplet. (or ) Example: To create a new aplet from an existing Solve aplet A simple example of a customized aplet is the TRIANGLES aplet. This aplet is a copy of the Solve aplet containing the formulas commonly used in calculations involving - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 251
, Radians, or Grads. MODES Select Degrees Example: To use the customized aplet 4. Ensure the TRIANGLES aplet is saved in the Aplet Library. The Solve aplet can now be reset and used for other problems. To use the aplet, simply select the appropriate formula, change to the Numeric view and solve - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 252
addition to the standard aplets that come with the calculator, you can download aplets from the world wide web. For example, Hewlett-Packard's Calculators web site contains aplets that demonstrate certain mathematical concepts. Note that you need the Graphing Calculator Connectivity Kit in order to - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 253
cable connection and requires an aplet disk drive or special software running on a PC (such as the PC Connectivity Kit). Note: The HP 40G does not have an IR port. A PC adapter and unit-to-unit cable is supplied instead. To transmit an aplet 1. Connect the storage device to the calculator by cable - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 254
you have defined a new version of an aplet. The information is automatically saved under the current aplet name, such as "Function." To create additional aplets of the same type, you must give the current aplet a new name. The advantage of storing an aplet is to allow you to keep a copy of a working - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 255
HP 39G/40G graphing calculator complies with regulations in certain regions. Any modifications to the calculator not expressly approved by Hewlett-Packard could void the authority to operate the HP 39G/40G in these regions. USA Connections turning the calculator off and on), the user is encouraged - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 256
1 PRODUKT Warranty HP 39G/40G Graphical Calculator Warranty period: 12 months 1. HP warrants to you, the end-user customer, that HP hardware, accessories either new or like-new. 2. HP warrants to you that HP software will not fail to execute its programming instructions after the date of purchase, - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 257
inadequate maintenance or calibration, (b) software, interfacing, parts or supplies not supplied by HP, (c) unauthorized modification or misuse countries, states or provinces do not allow limitations on the duration of an implied warranty, so the above limitation or exclusion might not apply to you. - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 258
STATUTORY RIGHTS APPLICABLE TO THE SALE OF THIS PRODUCT TO YOU. CAS The HP 40G is packaged with a computerized algebra system (CAS). Refer to the CAS User Manual for further information. Resetting the HP 39G/40G If the calculator "locks up" and seems to be stuck, you must reset it. This is - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 259
does not turn on If the HP 39G/40G does not turn on follow the steps below until the calculator turns on. You may find that the calculator turns on before you have completed the procedure. If the calculator still does not turn on, please contact Customer Support for further information. 1. Press and - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 260
function HOME Library list matrix A small application, limited to one topic. The built-in aplet types are Function, Parametric, Polar, Sequence, Solve, and Statistics. An aplet can be filled with the data and solutions for a specific problem. It is reusable (like a program, but easier to use - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 261
aplet. A reusable set of instructions that you record using the Program editor. A drawing that you make in the Sketch view for a specific aplet. The name of a number, list, matrix, note, or graphic that is stored in memory. Use to store . Avoid getting the calculator wet. Battery operates - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 262
is on: Warning: Low Bat. The HP 39G/40G uses three AAA batteries. Be sure all three are of the same brand and type. Rechargeable batteries are not recommended because of their lower capacity and more sudden demise. To replace batteries: 1. Turn the calculator off and place the slide cover over the - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 263
Category Graphic Library List Matrix Modes Notepad Program Real Available name (Continued) G1...G9, G0 Function Parametric Polar Sequence Solve Statistics User-named L1...L9, L0 M1...M9, M0 Ans Date HAngle HDigits HFormat Ierr Time User-named Editline User-named A...Z, θ Function aplet variables - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 264
Digits Format NumCol NumFont NumIndep NumRow NumStart NumStep NumType NumZoom NoteText Page PageNum Parametric aplet variables The parametric aplet variables are: Category Plot Available name Axes Connect Coord Grid Indep InvCross Labels Recenter Simult Tmin Tmax Tracing Tstep Xcross Ycross - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 265
X0 Y0 Digits Format NumCol NumFont NumIndep NumRow NumStart NumStep NumType NumZoom NoteText Page PageNum Polar aplet variables The polar aplet variables are: Category Available names Axes Connect Coord Grid Indep InvCross Labels Recenter Simult Umin Umax θstep Tracing Symbolic Angle R1 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 266
Available names (Continued) Digits Format NumCol NumFont NumIndep NumRow NumStart NumStep NumType NumZoom NoteText Page PageNum Sequence aplet variables The sequence aplet variables are: Category Plot Symbolic Numeric Note Sketch Available name Axes Coord Grid Indep InvCross Labels Nmin - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 267
Solve aplet variables The solve aplet variables are: Category Plot Symbolic Numeric Note Sketch Available name Axes Connect Coord FastRes Grid Indep InvCross Labels Recenter Tracing Angle E1 E2 E3 E4 E5 Digits Format NoteText Page Xcross Ycross Xtick Ytick Xmin Xmax Ymin - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 268
variables The statistics aplet variables are: Category Plot Symbolic Numeric Stat-One Stat-Two Note Sketch Available name Axes Connect Coord Grid Hmin Hmax Hwidth Indep InvCross Labels Recenter S1mark S2mark S3mark Angle S1fit S2fit C0,...C9 Digits Format NumCol MaxΣ MeanΣ Median MinΣ NΣ Q1 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 269
Math functions The math functions are: Category Calculus Complex Constant Available name TAYLOR ARG CONJ e i Reference information Hyperb. List Loop Matrix ACOSH ASINH ATANH COSH SINH CONCAT ∆LIST MAKELIST πLIST POS ITERATE RECURSE Σ COLNORM COND CROSS DET DOT EIGENVAL EIGENVV IDENMAT INVERSE - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 270
Category Polynom. Prob. Real Stat-Two Symbolic Tests Trig Available name (Continued) POLYCOEF POLYEVAL POLYFORM POLYROOT COMB ! PERM RANDOM UTPC UTPF UTPN UTPT CEILING DEG→RAD FLOOR FNROOT FRAC HMS→ →HMS INT MANT - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 271
constants The program constants are: Category Angle Format Available name Degrees Grads Radians Standard Fixed SeqPlot S1...5fit StatMode StatPlot Cobweb Stairstep Linear LogFit ExpFit Power Stat1Var Stat2Var Hist BoxW Sci Eng Fraction QuadFit Cubic Logist User Reference information R-17 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 272
commands The program commands are: Category Aplet Branch Drawing Graphic Loop Matrix Command CHECK SELECT SETVIEWS UNCHECK IF THEN FREEZE DO1VSTATS RANDSEED DO2VSTATS SETDEPEND SETINDEP R-18 CASE IFERR RUN STOP LINE PIXOFF PIXON TLINE MAKEGROB PLOTR RPLOT REPLACE SUB ZEROGROB UNTIL END WHILE - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 273
or programs (using catalogs), or custom (not built-in) aplets (using MEMORY). Insufficient Statistics Data Not enough data points for the calculation. For (where) function attempted to assign a value to the variable of integration or summation index. No Equations Checked You must enter and check - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 274
screen. Problem with data reception from another calculator. Re- calculation has a mathematically undefined result (such as 0/0). You must recover a lot of memory to continue operation. Delete one or more matrices, lists, notes, or programs (using catalogs), or custom (not built-in) aplets - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 275
15 Parametric 4-1 Polar 5-1 receiving 16-5 resetting 16-4 sending 16-5 Sketch view 14-1 Solve 7-1 sorting 16-6 statistics 8-1 aplet commands CHECK 10-5 area graphical 3-10 interactive 3-10 variable 15-30 arguments with matrices 12-10 attaching a note to an aplet 14-1 a sketch to an aplet 14-3 auto - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 276
history 1-24 edit line 1-21 lists 13-6 plot 2-6 cobweb graph 6-2 coefficients polynomial 10-12 columns changing position 15-24 combinations 10-13 comma mode with matrices 13-7 commands aplet 15-14 Branch 15-17 definition of R-6 Drawing 15-19 Graphic 15-20 Loop 15-22 Print 15-25 Program 15-5, R-18 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 277
editing matrices 12-4 notes 14-2 programs 15-5 Editline Program catalog 15-2 editors 1-28 eigenvalues 12-11 eigenvectors 12-11 element storing 12-5 E-lessons 1-11 engineering number format 1-10 equals for equations 10-19 logical test 10-20 equations solving 7-1 erasing a line in Sketch view 15-20 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 278
22 graphics copying 14-6 copying into Sketch view 14-6 storing and recalling 14-6, 15-20 guarantee R-2 H histogram 8-15 adjusting 8-15 range 8-18 setting min/max values for bars 15-31 width 8-18 history 1-2, 15-25 Home 1-1 calculating in 1-18 display 1-2 evaluating expressions 2-3 reusing lines 1-21 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 279
1-19 importing graphics 14-6 notes 14-8 increasing display contrast 1-2 indefinite integral using symbolic variables 10-25 independent values adding to table 2-19 independent variable defined for Tracing mode 15-32 inference confidence intervals 9-16 hypothesis tests 9-9 One-Proportion - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 280
in 13-9 reversing order in 13-9 sending and receiving 13-6 sorting elements 13-9 storing elements 13-1, 13-4, 13-5 storing one element 13-7 logarithm 10-4 logarithmic fit 8-12 functions 10-4 logical operators AND 10-21 equals (logical test) 10-20 greater than 10-20 greater than or equal to 10-20 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 281
Matrix Editor 15-23 storing elements 12-3, 12-5 storing matrix elements 12-5 swap column 15-24 swap row 15-24 transposing 12-13 variables 12-1 matrix 19 naming programs 15-4 natural exponential 10-4, 10-10 natural log plus 1 10 hypothesis 9-3 number format engineering 1-10 fixed 1-10 fraction 1-10 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 282
Z-Interval 9-18 One-Sample T-Interval 9-20 One-Sample T-Test 9-13 One-Sample Z-Interval 9-16 One-Sample Z-Test 9-9 order of precedence 1-20 overlaying plots 2-16, 4-3 P π 10-9 paired columns 8-11 Parametric aplet 4-1 parametric variables Axes 15-30 Connect 15-30 Grid 15-31 in menu map R-10 Indep - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 283
polar variables Axes 15-30 Connect 15-30 Grid 15-31 in menu map R-11 Indep display item 15-26 display message box 15-28 halt program execution 15-28 insert line breaks 15-28 prevent screen display being updated 15-27 set date and time 15-26 store keycode 15-27 Q 2-5 θrng 2-5 quadratic extremum 3-6 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 284
row echelon 12-12 regression analysis 8-17 fit models 8-12 formula 8-12 user-defined fit 8-12 regulatory information Canada R-1 USA R-1 relative error statistical 8-17 resetting aplet 16-4 calculator R-4 If calculator does not turn on R-5 memory R-5 result copying to edit line 1-21 reusing 1-21 root - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 285
variable 15-35 storing list elements 13-1, 13-4, 13-5, 13-7 matrix elements 12-3, 12-5 results of calculation 11-3 value 11-2 strings literal in symbolic operations 10-20 structured programming 15-1 subtract 10-4 summation function 10-11 symbolic calculations in Function aplet 10-22 defining - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 286
21 Two-Sample T-test 9-14 Two-Sample Z-Interval 9-17 typing letters 1-6 U undefined name R-20 result R-20 un-zoom 2-11 upper-tail chi-squared probability 10-14 upper-tail normal probability 10-14 upper-tail snedecor's f 10-14 upper-tail student's t-probability 10-14 user defined regression fit 8-12 - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 287
11-3 storing 11-2 variables aplet 11-1 categories 11-7 definition 11-1, 11-7, R-7 in equations 7-10 in Symbolic view 2-3 independent 15-35 local 11-1 previous result (Ans) 1-22 printing 15-25 root 15-33 root-finding 3-9 step size of independent 15-35 types 11-1, 11-7 use in calculations 11-4 VARS - HP 39g | hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 288
HP 39G/40G
GRAPHING
CALCULATOR
USER’S GUIDE
Version 1.1