HP (Hewlett-Packard) 39gs manuel d'utilisation

HP 3 9gs gr aphing calc ulator user's guide Ed i t io n 3 P art Number F2 2 2 3AA-9000 1 HP 39gs English. book Page i Wednesd ay, December 7, 2005 11:24 PM[...]

Notice REG ISTER Y OUR PRODU CT A T: ww w .register .hp.com THI S MANUAL AND ANY EXAMPLES C ONT AI NED HEREIN ARE PRO VIDED “ AS IS” AND ARE SUBJECT TO CHANGE WITHOUT NO TI CE. HEWLETT-P A CKARD COMP ANY MAKE S NO W AR- RANT Y O F ANY KIND WITH R EGARD T O TH IS MA NUAL , INCL U D ING , BUT NO T L IMI TED T O, THE IMPL IED W AR RANT IES OF MERC[...]

i Contents Preface Manual conventions ................ ................ ................. ............. P-1 Notice ...... ................ ................ ................. ................ .......... P-2 1 Getting started On/off, cancel operatio ns ........... ................. ................ .......... 1-1 The display .................. ......[...]

ii 3 Function aplet About the Fu nction aplet .... ................ ................. ............. ...... 3-1 Getting started with the Function aplet ... ................ ............. 3-1 Function aplet intera ctive analysis .............. ................ ............. 3-9 Plotting a piecewise -defined function ........ ................ ........[...]

iii Exploring the graph ......... ................ ................ ............. 1 0-19 Calculating predicted values ............................. ............. 10-20 11 Inference aplet About the Inference ap let ................ ................ ................ ..... 11-1 Getting started with the Infe rence aplet ........................ ..... 1[...]

iv Two-variable statistics ................ ................ ................. .. 13-17 Symbolic functions .......... ................. ................ ............ 13-17 Test functions ............ ................ ................ ................. .. 13-18 Trigonometry func tions ............... ................ ................. .. 13-19 Symbo[...]

v Using programs ... ................ ................ ................ ............... 18-7 Customizing an aplet ............... ................ ................. ........... 18-9 Aplet naming convention ..................... ................. ......... 18-1 0 Example ............... ................ ................. ................ ...... 18-1[...]

vi Polar aplet variables ........... ................ ................... .......... R-9 Sequence aplet variables . ................. ................ .............. R-10 Solve aplet variab les . ................ ................ ................. .... R-11 Statistics a plet variables ... ................. ................ .............. R-12 MATH [...]

P-1 Preface The HP 39gs is a feature-rich graphing calculator. It is also a powerful mathematics learning tool. The HP 39gs is designed so that you can use it to explore mathematical functions and their proper ties. You can get more information on the HP 39gs from Hewlett-Packard’s Calcula tors web site. You can download customized aplets from th[...]

P-2 Notice This manual and any examples contained herein are provided as-is and are subject to change without notice. Except to the extent prohibit ed by law, Hewlett-Packard Company makes no express or implied warranty of any kind with regard to this manu al and specifically di sclaims the implied warranties and conditions of merchantability and f[...]

Getting started 1-1 1 Get ting star ted On/off, cancel operations To turn on Press to turn on the calculator. To cancel When the calculator is on, the key cancels the current operation. To turn off Press OFF to turn the calculator off. To save power, the calc ulator turns itself off after several minutes of inactivity. All stored and displayed info[...]

1-2 Getting started The display To adjust the contrast Simultaneously press and (or ) to increase (or decrease) the contrast. To clear the display • Pres s CANCEL to clear the edit line . • Pres s CLEAR to cle ar the edit line and the display history . Parts of the display Menu key or soft key labels. The la bels for the men u k ey s’ c urre [...]

Getting started 1-3 Annunciators . Annunciators are sy mbo ls that appear above the title bar and give you important status information. The keyboard Menu keys Annunciator Description Shift in effect for next keystroke. To cancel, press again. α Alpha in effect for next keystroke. To cancel, press again. (( • )) Low battery power. Busy. Data is [...]

1-4 Getting started • On the calculato r ke yboard , the top ro w of ke ys ar e called menu k ey s. Their meanings depend on the conte xt—that’s wh y their top s are blank. T he menu k ey s ar e sometimes called “ soft ke ys ” . • The bo ttom line of the displa y show s the labels f or the menu k ey s’ c urrent meanings . Aplet contro[...]

Getting started 1-5 Entry/Edit keys The entry and edit keys are: K ey Meaning ( CANCEL ) Cancels the current operation if the calculator is on by pressing . Pressing , then OFF turns the calculator off. Accesses the function printed in blue above a key. Returns to the HOME view, for performing calculations. Accesses the alphabetical characters prin[...]

1-6 Getting started Shifted keys trokes There are two shift keys that you use to access the operations and characters printed above the keys: and . CHARS Displays a menu of all a vailable characters. To type one, use the arrow keys to highlight it, and press . To select multiple characters, select each and press , then press . Ke y Meaning (Continu[...]

Getting started 1-7 HELPWITH The HP 39gs built-in help is avai lable in HOME only. It provides syntax help for bu ilt-in math functions. Access the HELPWITH command by pressing SYNTAX and then the math key for which you require syntax help. Example Pr ess SYNTAX Note: R emov e the left paren th esis fr om built-in functi ons such as sine , cosine ,[...]

1-8 Getting started • Pr essing displa ys a menu of ph ysical constants f rom the fi elds of chemistry , phys ics, and quantum mec hanics. Y ou can use these constan ts in calculatio ns. (See “Ph ysical constants ” on page 13- 2 5 for mor e infor mation .) • Pr essing tak es you t o the beginning of the MA T H menu . See “Math functions b[...]

Getting started 1-9 • If there ar e two columns, the left column sho ws gener al categori es and the right colu mn sho ws spec ific contents w ithin a category . Highli ght a gener al category in the left column, then highli ght an item in the r ight column. T he list in the righ t column change s when a differ ent category is highli ghted. Pres [...]

1-10 Getting started Mode settings You use the Modes input form to set the modes for HOME. HINT Although the numeric setting in Modes affects only HOME, the angle setting controls HOME and the current aplet. The angle setting selected in Modes is the ang le setting used in both HOME and current aplet. To further configure an aplet, you use the SETU[...]

Getting started 1-11 Setting a mode This example demonstrates how to change the angle measure from the default mode, radians, to degrees for the current aplet. The procedure is the same for changing number format and decimal mark modes. 1. Pres s MODES t o o p e n t h e H O M E M O D ES i n p u t form. Engineering . Displays result with an exponent[...]

1-12 Getting started The c ursor (highli ght) is in the firs t field , Angle Measure . 2 . Pres s to display a li st of choic es. 3. P re s s to select Degrees , and pr ess . The angle mea s ur e changes to degrees . 4. Pres s to r etu rn to HOME . HINT Whenever an input form has a list of choices for a field, you can press to cycle through them in[...]

Getting started 1-13 symbolic views of the aplets in the following table. See “Aplet view configuration” on page 1-18 for further information. In addition to these aplets, wh ich can be used in a variety of applications, the HP 39 gs is supplied with two teaching aplets: Quad Explorer and Trig Explorer. You cannot modify configuration settings [...]

1-14 Getting started charge and transferred to the HP 39gs using the provided Connectivity Kit. Quad Explorer aplet The Quad Explorer aplet is used to investigate the behaviour of as the values of a , h an d v change, both by manipulati ng the equation and seeing the change in the graph, and by manipulating the graph and seeing the change in the eq[...]

Getting started 1-15 Trig Explorer aplet The Trig Explorer aplet is used to investigate the behaviour of the graph of 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. Press , select Trig Explorer , and then press to disp[...]

1-16 Getting started Aplet library Aplets are stored in the Aplet library. To open an aplet Press to display the Aplet library menu. Select the aplet and press or . From within an aplet, you can return to HOME any time by pressing . Aplet views When you have configured an aplet to define the relation or data that you want to explore, you can displa[...]

Getting started 1-17 Numeric view Press to display the aplet’s Numeric vie w. In this view, the functions that you have defined are displayed in tabular format. See “About the numeric view” on page 2-16 f or further information. Plot-Table view The VIEWS menu contains the Plot-Table view. Select Plot-Table Splits the screen into the plot and [...]

1-18 Getting started Note view 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 aplet. See “Notes and sketche s” on page 17-1 for further information. Sketch view Press SKETCH to disp lay the apl et’s sket ch view. [...]

Getting started 1-19 To change views Each view is a separate environment. To change a view, select a different view by pressing , , keys or select a view from the VIEWS menu. To change to HOME, press . You do not explicitly close the current view, you just ente r another one—like passing from one room into another in a house. Data that you enter [...]

1-20 Getting started Example Calculate : Long results If the result is too long to fit on the display line, or if you want to see an expression in textbook format, press to highlight it and then press . Negative numbers Type to start a negative number or to insert a negative sign. To raise a negative number to a power, enclose it in parentheses. Fo[...]

Getting started 1-21 However, for clarity, it is better to include the multiplication sign where you expect multiplication in an expression. It is clearest to enter AB as A*B . HINT Implied multiplication will not always work as expected. For example, entering A(B+4) will not give A*(B+4) . Instead an error message is displayed: “Invalid User Fun[...]

1-22 Getting started Algebraic precedence order of evaluation Functions within an expression are evaluated in the following order of precedence. Functions with the same precedence are evaluated in order from left to right. 1. Ex pressions within parenthe ses. Neste d pa rentheses are e valuated from inner to outer . 2 . Pr efi x functions , such as[...]

Getting started 1-23 When you highlight a previous input or resu lt (by pressing ), the and menu labels appear. To copy a previous line Highlight the line (press ) and press . The number (or expression) is co pied into the ed it line. To reuse the last result Press ANS (last answer) to put the last result from the HOME display into an expression. A[...]

1-24 Getting started HINT When you retrieve a number from ANS , you obtain the result to its full precision. When you retrieve a number from the HOME’s display history, you obtain exactly what was displayed. Pressing evaluates (or re-evaluates) the last input, whereas pressing ANS copies the last result (as ANS ) into the edit line. Storing a val[...]

Getting started 1-25 Accessing the display history Pressing enables the highlight bar in the display history. While the highlight bar is active, the following menu and keyboard keys are very useful: Clearing the display history It’s a good habit to cl ear the display history ( CLEAR ) whenever you have finish ed working in HOME. It saves calculat[...]

1-26 Getting started 2 . Select Number Format , press to display the options , and highlight Fraction or Mixe d Fraction . 3 . Pres s to sele ct the Number For mat op tion, then mov e to th e prec ision value field . 4. Enter the prec ision value that y ou want to use , and pr ess to set the pr ecisio n. Pr ess to re turn to HOME . See “Setting f[...]

Getting started 1-27 • Prec ision s et to 1: • Pr ecision s et to 2: • Prec ision s et to 3: • Pr ecision s et to 4 Fraction calculations When entering fractions: • Y ou use the ke y to separate the nu merator part and the denominator par t of the fr action. • T o ente r a mix ed frac tion, f or ex ample , 1 1 / 2 , you enter it in the [...]

1-28 Getting started 2. E n t e r t h e c a l c u l a t i o n . 32 3 45 7 8 Note: Ensur e you are in the HOME v iew . 3 . Ev aluate the calculati on. Note that if you had selected Mixed Fraction instead of Fraction as the Number format, the answer would have been expressed as 25+7/8. Converting decimals to fractions To convert a decimal value to a [...]

Getting started 1-29 In this ex ample , the fr action prec ision is set to 6. Complex numbers Complex results The HP 39gs can return a complex number as a result for some math functions. A comp lex number appears as an ordered pair ( x, y ), where x is the real part and y is the imaginary part. For example, entering returns (0,1). To enter complex [...]

1-30 Getting started Catalogs and editors The HP 39gs has several catalogs and editors. You use them to create and manipulate objects. They access features and stored values (numbe rs or text or other items) that are independent of aplets. • A catalog lists items, w hich y ou can delete or tr ansmit, f or ex ample an aplet . • An editor lets yo[...]

Aplets and their views 2-1 2 Aplets and th eir vie w s Aplet views This section examines the options and func tionality of the three main views for the Functio n, Polar, Parametric, and Sequence aplets: Symbolic, Plot, and Numeric views. About the Symbolic view The Symbolic view is the defining view for the Function, Parametric, Polar, and Seque nc[...]

2-2 Aplets and their views – For a Function definition , ente r an ex pres sion to def ine F(X) . The only independent variab le in th e ex pre ss io n is X. – For a P arametric definition , ente r a pair of expr essio ns to def ine X(T) and Y(T) . The onl y independent var iable in the expr essi ons is T . – For a Pol ar definition , ente r [...]

Aplets and their views 2-3 Evaluating expressions In aplets In the Symbolic view, a variable is a symbol only, and does not represent one specif ic value. To evaluate a function in Symbolic view, press . If a function calls another function, then resolves all references to other functions in terms of their independent variab le. 1. Choos e the Func[...]

2-4 Aplets and their views In HOME You can also evaluate any expression in HOME by entering it into the edit line and pressing . For example, define F4 as below. In HOME, type F4(9) and press . This evaluates the expression, substituting 9 in place of X into F4 . SYMB view keys The following table details the menu keys that you use to work with the[...]

Aplets and their views 2-5 About the Plot view After entering and selecting (check marking) the 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. You can plot up to ten expressions at the same time. Select the expressions you want to be plotted to[...]

2-6 Aplets and their views Plot view settings The plot view settings are: Those items with space for a checkmark are settings you can turn on or off. Press to display the second page. Field Meaning XRNG, YRNG Specifies the minimum and maximum horizontal ( X ) and vertical ( Y ) values for the plotting window. RES For function plots: Resolution; “[...]

Aplets and their views 2-7 Reset plot settings To reset the default values for all plot settings, press CLEAR in the Plot Setup view. To reset the default value for a field, highlight the field, and press . Exploring the graph Pl ot v ie w gi v es y ou a s e le c ti o n o f ke ys a nd m en u ke y s t o explore a graph further. The options vary from[...]

2-8 Aplets and their views Trace a graph You can trace along a function using the or key which moves the cursor along the graph. The display also shows the current coordinate position ( x, y ) of the cursor. Trace mode and the coordinate disp lay are automatically set when a plot is drawn. Note: Tracing might not appe ar to exactly follow your plot[...]

Aplets and their views 2-9 To jump directly to a value To jump straight to a value rather than using the Trace function, use the menu key. Press , then enter a value. Press to jump to the value. To turn trace on/off If the menu labels are no t displayed, press first. • T urn off tr ace mode by pr essing . • T urn on tr ace mo de by pr essing . [...]

2-10 Aplets and their views Y-Zoom In Di vides vertical scale only, using Y-factor. Y-Zoom Out Multiplies vert ical scale only, using Y-factor. Square Changes the vertical scale to match the horizontal scale. (Use this after doing a Box Zoom, X- Zoom, or Y-Zoom.) Set Factors... Sets the X-Zoom and Y-Zoom factors for zooming in or zooming out. Inclu[...]

Aplets and their views 2-11 ZOOM examples The following screens show the effects of zooming options on a plot of . Plot of Zoom In : In Un-zoom : Un-zoom Note: Press to move to the bottom of the Zoom list. Zoom Out : Out Now un- zoom. X-Zoom In : X-Zoom In Now un- zoom. X-Zoom Out : X-Zoom Out Now un- zoom. Un-zoom Returns the display to the previo[...]

2-12 Aplets and their views Y-Zoom In: Y-Zoom In Now un-zoom. Y-Zoom Out: Y-Zoom Out Zoom Square: Square To box zoom The Box Zoom option lets you dr aw a box around the area you want to zoom in on by selecting the endpoints of one diagonal of the zoom rectangle. 1. If necessary , press to turn on the menu-ke y labels . 2. P r e s s a n d s e l e c [...]

Aplets and their views 2-13 To set zoom factors 1. In the Plot v ie w , pr ess . 2. P r e s s . 3. S e l e c t Set Factors... and pr ess . 4. Enter the z oom facto rs. Ther e is one z oom factor for the horiz ontal sc ale ( XZOOM ) and one f or the vertical scal e ( YZOOM ). Z ooming out multipli es the scale by the f actor , so that a greater s ca[...]

2-14 Aplets and their views Split the screen The Plot-Detail view can give you two simultaneous views of the plot. 1. Pres s . Select Plot-Detail and pr ess . The gr aph is plot ted twice . Y ou can now z oom in on the ri ght side . 2. P r e s s , select the zoom meth od and pres s or . This z ooms the ri ght side . Here is an ex ample of split s c[...]

Aplets and their views 2-15 – mov es the left most c ursor to the scr een’s left edge and mov es the ri ghtmost c ursor to the sc reen ’s ri ght edge. – The menu k ey copi es the ri ght plot to the left plot . 3 . T o un -split the scr een , pres s . The left side tak es ov er the whole scr een. The Plot-Table view gives you two simultaneou[...]

2-16 Aplets and their views About the numeric view After entering and selecting (check marking) the expression or expressions that you want to explore in the Symbolic view, press to view a table of data values for the independent variable ( X , T, θ , or N ) and dependent variables. Setting up the table (Numeric view setup) Press NUM to define any[...]

Aplets and their views 2-17 Numeric view settings The following table details the fields on the Numeric Setup input form. Reset numeric settings To reset the default values for all table settings, press CLEAR . Exploring the table of numbers NUM view menu keys The following table details the menu keys that you use to work with the table of numbers.[...]

2-18 Aplets and their views ZOOM options The following table lists the zoom options: The display on the right is a Zoom In of the display on the left. The ZOOM factor is 4. HINT To jump to an independent va riable value in the table, use the arrow keys to place the cursor in the independent variable column, then enter the value to jump to. Automati[...]

Aplets and their views 2-19 Building your own table of numbers The default NUMTYPE is “Automatic”, which fills the table with data for regular intervals of the independent ( X , T , θ , or N ) variable. With the NUMTYPE option set to “Build Your Own”, you fill the table yourself by typing in the independent-variable values you want. Th e d[...]

2-20 Aplets and their views “Build Your Own” menu keys Example: plotting a circle Plot the circle, x 2 + y 2 = 9 . First rearrange it to read . To plot both the positive and negative y values, you need to define two equations as follows: and Ke y Meaning Puts the highlighted independent value ( X , T , θ , or N ) into the edit line. Pressing r[...]

Aplets and their views 2-21 1. In the F unction aplet , spec if y the functi ons. Select Function 9 9 2 . R eset the gra ph setup to the def ault settings . SETUP - PLOT CLEAR 3 . P lot the two func tions and hide the men u so that yo u can see all the ci rcl e. 4. Re set the numeri c setup to the def ault settings. SETUP - NUM CLEAR 5 . Display th[...]

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Function aplet 3-1 3 Function aplet 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 . Once you have defined a function you can: • cr eate graphs to find roo t s, inte rcepts, slope , signed area , and extr ema • cr eate tables to evaluate f unctions at [...]

3-2 Function aplet Define the expressions 2 . T h er e are 10 fu nction def inition fi elds on the F u nctio n aplet’s S ymboli c vie w scr een . They ar e labeled F1(X) to F0(X). Highlight the f unction def inition f ield you w a nt to u se , and enter an e xpr essio n. (Y ou can pr ess to delete an ex isting line, or CLEAR to clear all lines .)[...]

Function aplet 3-3 Change the scale 6. Y ou can chang e the scale to see more or le ss of your gr aphs. In this ex ample , choose Auto Scale . (See “VIEW S menu options ” on page 2 -13 for a descrip tio n of Auto Sc al e) . Select Auto Scale Trace a graph 7 . T r ace the lin ear func tion. 6 times Note: B y default , the trace r is activ e. 8. [...]

3-4 Function aplet Analyse graph with FCN functions 9. Display the Plot view menu. From the Plot view menu, you can use the functions on the FCN menu to find roots, intersections, slopes, and areas for a function defined in the Function aplet (and any Function-based ap lets). The FCN functions act on the currently selected graph. S e e “FCN funct[...]

Function aplet 3-5 12 . Choose the linear f unction w hose inter sectio n w ith the quadr atic functi on you w ish to find . The coo rdinates of the intersec tion point ar e display ed at the bottom of the screen . Note: If ther e is more than one inters ection (as in our e xample), the coor dinates of the inters ection point closes t to the cur re[...]

3-6 Function aplet 15 . Move the c ursor to x = –2 by pr essing the or key . 16 . Pres s to accept using F2(x) = (x + 3) 2 – 2 as the other boundar y for the integr al. 17 . Choos e the end value for x . 1 Th e cu rso r jum ps to x = – 1 on the linear functi on. 18. Display the numerical value of the integral. Note: See “Shading ar ea” on[...]

Function aplet 3-7 HINT The Root and Extremum functions return one value only even if the fun ction has more than one root or extremum. The function finds the value closest to the position of the cursor. You need to re-locate the cursor to find other roots or extrema that may exist. Display the numeric view 20. Display the numer ic vi ew . Set up t[...]

3-8 Function aplet To navigate around a table 2 4. Move t o X = –5 .9 . 6 times To go directly to a value 2 5. Mov e directl y to X = 10. 1 0 To access the zoom options 2 6. Z oom in on X = 10 by a factor o f 4. Note: NUMZOOM has a setting of 4 . In To change font size 2 7 . Dis play table n umbers in large f ont . To display the symbolic definit[...]

Function aplet 3-9 Function aplet interactive analysis From the Plot view ( ), you can use the functions on the FCN menu to find roots, intersection s, slopes, and areas for a function defined in the Function aplet (and any Function-based aplets). See “FCN functions” on page 3- 10. The FCN operations act on the currently selected graph. The res[...]

3-10 Function aplet FCN functions The FCN functions are: Function Description Root Select Root to find the root of the current function nearest the cursor. If no root is fo und, but only an extremum, then the result is labeled EXTR: instead of ROOT: . (The root-finder is also used in the Solve aplet. See also “Interpreting results” on page 7-6.[...]

Function aplet 3-11 Shading area You can shade a selected area between functions. This process also gi ves you an approximate measurement o f the area shaded. 1. Open the Function aplet . The Functi on apl et opens in the S ymbolic v ie w . 2 . Se lect the expr essi ons who se curv es you want to study . 3 . Pr ess to plot the functio ns. 4. Pr ess[...]

3-12 Function aplet Plotting a piecewise-defined function Suppose you wanted to plot the following piecewise- defined function. 1. Open the F unction aple t. Select Function 2 . Hi ghlight the line you w ant to use , and enter the expr ession. ( Y ou can pre ss to delete an ex isting line , or CLEAR to c lear all lines.) 2 CHARS ≤ 1 CHARS > 1 [...]

Parametric aplet 4-1 4 Pa r a m e t r i c a p l e t About the Parametric aplet The Parametric aplet allows you to explore parametric equations. These are equations in which both x and y are defined as functions of t . They take the forms and . Getting started with the Parametric aplet The following example uses the parametric equations Note: This e[...]

4-2 Parametric aplet Set angle measure 3 . Set the angl e measure to degrees. MODES Select Degrees Set up the plot 4. Display the graphing options. PLOT The P lot Setu p input for m has t w o fields not inc luded in the Functi on aplet, TRNG and TSTEP . TRNG spec ifi es the range o f t va lu e s. TSTEP spec ifies the step value between t values. 5 [...]

Parametric aplet 4-3 Overlay plot 8. Plot a triangle graph over the existing circle graph. PLOT 120 Select Overlay Plot A tria ngle is di splay ed r ather than a cir cle (w ithout c hanging the equation) because the c hanged value of TSTEP e nsures that points being plotted are 120 ° apa r t instead o f nearly continuous . Y ou are able to explore[...]

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Polar aplet 5-1 5 Po l a r a p l e t Getting started with the Polar aplet Open the Polar aplet 1. Open the P o lar aplet. Sele ct Polar L ike the F unction aplet , the P olar aplet opens in the S ymboli c vie w . Define the expression 2 . Def ine the polar equatio n . 2 π 2 Specify plot settings 3 . Spec ify the plot settings. In this e xample , w[...]

5-2 Polar aplet Explore the graph 5 . Displa y the Plot v iew m enu k ey labels . Th e Plo t vi ew o p t io n s av ailable ar e the same as those fo und i n the F unction aplet. See “Explor ing the graph ” on page 2 - 7 for f ur ther informati on. Display the numbers 6 . Displa y the table of v alues for θ and R1. Th e N u me ric view options [...]

Sequence aplet 6-1 6 Sequence aplet About the Sequence aplet The Sequence aplet allows you to explore sequences. You can define a sequence named, for example, U1: • in terms of n • in terms of U1 ( n –1) •i n t erms o f U1 ( n –2) • in terms o f another sequence, f or ex ample, U2 ( n ) • in an y combination of the abo ve . The Sequen[...]

6-2 Sequence aplet Open the Sequence aplet 1. Open the Sequence apl et. Select Sequence The Sequence apl et starts in the S ymboli c view . Define the expression 2 . Def i ne the Fibonacc i sequence, in w hich eac h term (after the fir st two) is the sum o f the preceding two terms: , , for . In the S ymbolic vie w of the Seque n ce aplet , highlig[...]

Sequence aplet 6-3 Plot the sequence 4. P lot the Fibonacc i seque nce. 5. In Plot Setup, set the SEQPLOT option to Cobweb . SETUP - PLOT Select Cobweb Display the table 6. Di splay the table of value s for this ex amp le. HP 39gs English. book Page 3 Wednesd ay, December 7, 2005 11:24 PM[...]

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Solve aplet 7-1 7 Solve aplet About the Solve aplet The Solve aplet solves an equation or an expression for its unknown variable . You define an equation or expression in the symbolic view, then supply values for all the variables except one in the numeric view. Solve works only with real numbers. Note the differences between an equation and an exp[...]

7-2 Solve ap let Getting started with the Solve aplet Suppose you want to find th e acceleration needed to increase the speed of a car from 1 6.67 m/sec (60 kph) to 27.78 m/sec (100 kp h) in a distance of 100 m. The equation to solve is: Open the Solve aplet 1. Open the Solve aplet . Select Solve The S olve a p let starts in the s ymbolic v iew . D[...]

Solve aplet 7-3 4. Enter the value s for the kno wn var iables . 2 7 7 8 1 6 6 7 1 0 0 HINT If the Decimal Mark setting in the Modes input form ( MODES ) is set to Comma, use instead of . Solve the unknown variable 5. Sol ve for the unkno wn v aria ble ( A ). Ther ef ore , the accelerati on needed to increas e the speed of a car fr om 16.6 7 m/sec [...]

7-4 Solve ap let 6. P lot the equation fo r va riable A . Sele ct Auto Scale 7 . T race along the gr aph repr esenting the le f t side o f the equation until the c ursor nears the inter section . 20 times Note the v alue of A display ed near the bot tom left corner of the scr een. The P lot vie w pro vi des a conveni ent wa y to find an appr ox ima[...]

Solve aplet 7-5 Use an initial guess You can usually obtain a fa ster and more accurate solution if you supply an estimated value for the unknown variable before pressing . Solve starts looking for a solution at the initial guess. Bef ore plotting , make sur e the unknow n vari able is highlig hted in the numeri c vie w . Plot the equati on to help[...]

7-6 Solve ap let Interpreting results After Solve has returned a solution, press in the Numeric view for more information. You will see one of the following three messages. Press to clear the message. Messag e Condition Zero The Solve aplet found a point where both sides of the equation were equal, o r wher e the expression was zero (a root), withi[...]

Solve aplet 7-7 If Solve could not find a solution, you will see one of the following two messages. HINT It is important to check the information 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 zero. Only by checking the i nformation will you know that [...]

7-8 Solve ap let where X is distance, V 0 is initial velocity, T is time, and A is acceleration. This is actually two equations, Y = X and Y = V 0 T + (AT 2 ) / 2 . Since this equation is quadratic for T , there can be both a positive and a negative solution. However, we are concerned only with positive so lutions, since only positive distance make[...]

Solve aplet 7-9 5. Move the cursor near the positive (right-side) intersection. This cursor value will be an initial guess for T . Pres s until the c ursor is at the intersec tion. The t wo po in t s o f inters ection sho w that ther e are two so lutions f or this equation. Ho we ver , on ly p os i tive va lu es fo r X make s ense, so w e want to f[...]

7-10 Solve ap let Using variables in equations You can use any of the real variable names, A to Z and θ . Do not use variable nam es defined for other types, such as M 1 (a matrix variable). Home variables All home variables (other than those for aplet settings, like Xmin and Ytick ) are global , which means they are shared throughout the differen[...]

Linear Solver a plet 8-1 8 Li n e a r S o lve r a p l e t About the Linear Solver aplet The Linear Solver aplet allows you to solve a set of Linear Equations. The set can contain two or three linear equations. In a two-equation set, each equation must be in the form . In a three-equation set, each equation must be in the form . You provide values f[...]

8-2 Linear Solver aplet Choose the equation set 2 . If the last time y ou used the Li near Solver a plet yo u so lv ed fo r t wo equations , the two - equation in put form is display ed (as in the ex ample in the pre vious step). T o solve a thr e e -equation set, pr ess . No w the input form dis plays thr ee equations. If the three-equation input [...]

Linear Solver a plet 8-3 soon as the f irst co -eff ici ent of the last equati on was entered . As you enter each of the r emaining know n value s, the solutio n change s. T he ex ample at the ri ght show s the final s olution once all th e co - efficients a nd constants ar e enter ed for the set of eq uations we s et out to solve. HP 39gs English.[...]

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Triangle S olve aplet 9-1 9 T riangle Solve aplet About the Triangle Solver aplet The Triangle Solver aplet a llows you to determine the length of a side of a triangle, or the angle at the vertex of a triangle, from information you supply about the other lengths and/or other angles. You need to specify at leas t three of the six possible values—t[...]

9-2 Triangle Solve aplet Open the Triangle Solver aplet 1. Open the T r iangle Solv er aplet. Select Triangle Solver The T ri ang le Solv er aplet opens. Note : if y ou have alr eady us ed the T riangle S olv er , the entries and results fr om the prev ious use w i ll still be displayed . T o star t the T riangle Solv er a fr esh, clear the pre vio[...]

Triangle S olve aplet 9-3 lengths as B and C, w e would need to s pecify the angle as α . The illus tration on the dis play w ill help yo u determine wher e to enter the k now n values. Note: if y ou need to change the angle measur e mode , pres s MODES , c hange the mode, and then pr ess to return t o the aplet. 4. Pres s . T h e solv er calc ula[...]

9-4 Triangle Solve aplet Not enough data If you are using the general input form, you need to specify at least three values for the Triangle Solver to be able to calculate the remaining attributes of the triangle. If you specify less than three, Not enough data appears on the screen. If you are using the simplified input form (for a right- angled t[...]

Statistics aplet 10-1 10 Statist ic s ap let About the Statistics aplet The Statistics aplet can store up to ten data sets at one time. It can perform one- variable or two-vari able statistical analysis of one or more sets of data. The Statistics aplet starts with the Numeric view which is used to enter data. The Symbol ic view is used to specify w[...]

10-2 Statistics aplet Open the Statistics aplet 1. Open the S tatistics aplet and c lear ex isting data b y pres sing . Select Statistics Th e St a ti s tic s ap l et starts in the Numer ical view . At an y time the Statistic s aplet is configur ed for onl y one of t wo types of stat istical explorations: one - var iable ( ) or two- var iable ( ) .[...]

Statistics aplet 10-3 Choose fit and data columns 4. Select a f it in the Sy mbolic setup v iew . SETUP - SYMB Select Linear Y ou c a n c rea t e up t o five ex pl o ra ti o ns o f t wo - va ria b l e data, named S1 to S5 . I n th i s exa mp l e, we wi l l cre at e just o ne : S1 . 5 . S p ec if y the columns that hold the data y ou want to analyz [...]

10-4 Statistics aplet Setup plot 8. Change the plotting r ange to ensure all the dat a points ar e plot ted (and select a diff erent point mark , if yo u wi s h ) . SETUP - PLOT 7 100 400 0 Plot the graph 9 . P lot the gr aph. Draw the regression curve 10. Dra w the regr essio n curve (a c ur ve t o fit the dat a points). This dr aw s the r e gr es[...]

Statistics aplet 10-5 Predict values 13 . T o find the pr edic ted sales fi gure if ad vertising w ere to go up to 6 minute s: S ( to highlight Stat-Two ) (to hi ghlight PREDY ) 6 14. Retur n to the Plot v iew . 15 . Jump to the indicated point on the r egres sion line . 6 Observe the pr edicted y -value in the left bottom corner of the screen. HP [...]

10-6 Statistics aplet Entering and editing statistical data The Numeric view ( ) is used to enter data into the Statistics aplet. Each column represents a variable named C0 to C9 . After entering the data, you must define the data set in the Symbolic view ( ). HINT A data column must have at least four data points to provide valid two-v ariable sta[...]

Statistics aplet 10-7 Example You are measuring the height of students in a classroom to find the mean height. The first five students have the following measurements 160cm, 165cm, 170cm, 175cm, 180cm. 1. Open the Statistics apl et . Select Statistics 2 . Enter the measurement data. 160 16 5 17 0 17 5 180 3 . F ind the mean of the sampl e. Ensur e [...]

10-8 Statistics aplet Note that the title o f the colu mn of stat istic s is H1 . Ther e are 5 data set de finitions a vailable for one- var iable stat ist ics: H1–H5 . If data is entered in C1 , H1 i s automatically set to use C1 fo r data , and the frequenc y of each data po int is set to 1. Y ou can select other columns of data f rom the Stati[...]

Statistics aplet 10-9 To continue our example, supp ose that the heights of the rest of the students in the class are measured, but each one is rounded to the nearest of the five values first recorded. Instead of entering all the new data in C1 , we shall simply add another column, C2 , that holds the frequencies of our five data points in C1 . 5 .[...]

10-10 Statistics aplet 6 . R eturn to the numer ic vi ew . 7 . Enter the f requenc y data show n in the abov e table . 5 3 8 2 1 8. Displa y the computed stat ist ics. The mean height is approximately 167.63cm. 9 . Setup a histogr am plot for the data . SETUP - PLOT Enter s et up informati on appropriate to your data. 10. Plo t a histogram of the d[...]

Statistics aplet 10-11 Delete data • T o delete a single data item, highli ght it and pr ess . The v alues below the deleted cell w ill scr oll up one ro w . • T o delete a column of data , highlight an entry in that column and press CLEAR . Select the column name. • T o delete all columns of data , press CLEAR . Select All columns . Insert d[...]

10-12 Statistics aplet Defining a regression model The Symbolic view includes an expression (Fit1 through Fit5) that defines the regression model, or “fit”, to use for the regression analysis of each two-variable data set. There are three ways to select a regression model: • Accept the d efault option to fit the data to a straight line. • S[...]

Statistics aplet 10-13 To define your own fit 1. In Numeri c vie w , mak e sure is set . 2 . Display the S ymbo l ic v iew . 3 . Hi ghlight the F it expr ession ( Fit1 , etc .) for the desired data set . 4. T ype in an e xpre ssion and pr ess . The independent variable must be X , and the expr essi on must not contain an y unknow n var iables. Exam[...]

10-14 Statistics aplet Computed statistics One-variable When the data set contains an odd number of values, the data set’s median value is no t used when calculating Q1 and Q3 in the table abo ve. For example, for th e following data set: { 3,5,7,8,15,16,17 } only the first three items, 3, 5, and 7 are used to calculate Q1, and only the last thre[...]

Statistics aplet 10-15 Two-variable Plotting You can plot : • histogr ams ( ) • box -and-whisk er plots ( ) • scat ter p lots ( ) . Once you have entere d your data ( ), defined your data set ( ), a nd defined your Fit model for two- variable statistics ( SETUP - SYMB ), you can plot your data. You can plot up to fiv e scatter or box-and-whis[...]

10-16 Statistics aplet To plot statistical data 1. In S ymboli c vie w ( ) , select ( ) the data sets y ou wan t to plot. 2 . F or one -var iable data ( ), select the plot ty pe in Plot Setup ( SETUP - PLOT ) . Highligh t ST A TPLOT , pres s , select either Histogram or BoxWhisker , and pr ess . 3 . F or any plot , but especi ally for a his to gr a[...]

Statistics aplet 10-17 Scatter Plot Two-v ariable statistics . The numbers below the plot indicate that 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 [...]

10-18 Statistics aplet Relative Error The relative error is a measure of the error between predicted values and actual va lues based on the specified Fit. A smaller number means a better fit. The relative error is stored in a variable named RELERR . The relative error provides a measure o f fit accuracy for all fits, and it does depend on the Fit m[...]

Statistics aplet 10-19 For instance, the data se t (1,1 ), (3,9), (4,16), (2,4) would be plotted and traced in the order (1,1), (2,4), (3,9), (4,16). Trouble-shooting a plot If you have problems plotting, check that you have the following: • The co rrec t or menu la bel on (Numeri c view ) . • The cor rect f it (regr ession model), if the data [...]

10-20 Statistics aplet Calculating predicted values The functions PREDX and PREDY estimate (predict ) values for X or Y given a hypothetical value for the other . The estimation is made based on the curve that has been calculated to fit the data a ccording to the specified fit. Find predicted values 1. In P lot vie w , draw the r egre ssion curv e [...]

Statistics aplet 10-21 • Enter P RED Y( x-value ) to f ind the predic ted value o f the dependent var iable giv en a hypotheti cal indepen dent vari ab le. You can type PREDX and PREDY into the edit line, or you can copy these function names from the MATH menu under the Stat-Two category. HINT In cases where more than one fit curve is displayed, [...]

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Inference aplet 11-1 11 Inference aplet About the Inference aplet The Inference capabilities include calculation of confidence intervals and hy pothesis tests based on the Normal Z-distribution or Student’s t-distribution. Based on the statistics from one or two sample s, yo u can test hypotheses and find confidence intervals for the following qu[...]

11-2 Inference a plet Inference aplet’s SYMB view keys The table below summarizes the options available in Symbolic view. If you choose one of the hypoth esis tests, y o u can choose the alternative hypothesis to test against the null hypothesis. For each test, th ere are three possible choices for an alternative hypothesis based on a quantitativ[...]

Inference aplet 11-3 Select the inferential method 2. Select the Hypothesis Test inferential method. Select HYPOTH TEST 3. Define the type of test. Z–Test: 1 μ 4. Select an alternative hypothesis. μ< μ0 Enter data 5. Enter the sample statistics and population parameters. setup-NUM The table below lists the fields in this view for our curren[...]

11-4 Inference a plet By default, each field already contains a value. These values constitute the ex ample database and are explained i n the feature of this aplet. Display on-line help 6. To display the on-line help, press 7. To close the on-line help, press . Display test results in numeric format 8. Display the test results in numeric format. T[...]

Inference aplet 11-5 A calculator produces the following 6 random numbers: 0.529, 0.295, 0.952, 0.2 59, 0.925, and 0.592 Open the Statistics aplet 1. Open the Statistics aplet and reset the current settings. Select Statistics The Statistics aplet opens in the Numeric view. Enter data 2. In the C1 column, enter the random numbers produced by the cal[...]

11-6 Inference a plet Open Inference aplet 6. Open the Infe rence aplet an d clear current set tings. Select Inference Select inference method and type 7. Select an inference method. Select CONF INTERVAL 8. Select a distribution statistic type. Select T-Int: 1 μ Set up the interval calculation 9. Set up the interval calculation. Note: The default [...]

Inference aplet 11-7 Import the data 10. Import the data from the Statistics aplet. Note: The data from C1 is displayed by default. Note: Press to see the statistics before importing them into the Numeric Setup view. Also, if there is more than one aplet base d on the Statistics aplet, you are prompted to choose one. 11. Specify a 90% confidence in[...]

11-8 Inference a plet Hypothesis tests You use hypothesis tests to test the validity of hypotheses that relate to the statistical parameters of one or two populations. The tests are base d on statistics of samples of the populations. The HP 39gs hypothesis tests use the Normal Z-distribution or Student’s t-distribution to calculate probabilities.[...]

Inference aplet 11-9 Results The results are: Two-Sample Z-Test Menu name Z-Test: μ 1– μ 2 On the basis of two samples, each from a separate population, this test measures t h e strength of the evidence for a selected hypothesis against the null hypothesis. The null hypothesis is that the mean of the two populations are equal (H 0 : μ 1= μ 2)[...]

11-10 Inference a plet Results The results are: One-Proportion Z-Test Menu name Z-Test: 1π 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 is that the proportion of su ccesses in the two populations is equal: H 0 : π = π 0 [...]

Inference aplet 11-11 Inputs The inputs are: Results The results are: Two-Proportion Z-Test Menu name Z-Test: π 1 – π 2 On the basis of statistics from two samples, each from a different population, the Two-Proportion Z-Test measures the strengt h of the ev idence for a selected hypothesis against the null hypothesis. The n ull hypothesis is th[...]

11-12 Inference a plet Inputs The inputs are: Results The results are: One-Sample T-Test Menu name T-Test: 1 μ The One-sample T-Test is used when the population standard deviation is not know n. 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. Th[...]

Inference aplet 11-13 Inputs The inputs are: Results The results are: Field name Definition Sample mean. Sx Sample standard deviat ion. n Sample size. μ0 Hypothetical population mean. α Significance level. x Result Description Test T T-Test statistic. Prob Probability associated with the T-Test statistic. Critical T Boundary value of T associated[...]

11-14 Inference a plet Two-Sample T-Test Menu name T-Test: μ 1 – μ 2 The Two-sample T-Test is used when the population standard deviation is not know n. On the basis of statistics from two samples, each sample from a different population, this test measures the strength of the evidence for a selected hypothesis against the null hypothesis. The [...]

Inference aplet 11-15 Results The results are: Confidence intervals The confidence interval calc ulations that the HP 39gs can perform are based on the Normal Z-distribution or Student’s t-distribution. One-Sample Z-Interval Menu name Z-INT: μ 1 This option uses the Normal Z-distribution to calculate a confidence interval for m, the true mean of[...]

11-16 Inference a plet Results The results are: Two-Sample Z-Interval Menu name Z-IN T: μ1 – μ2 This option uses the Normal Z- distribution to calculate a confidence interval for the difference between the means of two populations, μ 1 – μ 2 , when the population standard deviations, σ 1 and σ 2 , are known. Inputs The inputs are: Results[...]

Inference aplet 11-17 One-Proportion Z-Interval Menu name Z-INT: 1 π 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 a sample of size, n , has a number of successes, x . Inputs The inputs are: Results The results are: Two-Proportion Z-Interval Menu [...]

11-18 Inference a plet Results The results are: One-Sample T-Interval Menu name T-INT: 1 μ This option uses the Student’s t-distribution to calculate a confidence interval for m, the true mean of a population, for the case in which the true population standard deviation, s, is unknown. Inputs The inputs are: n1 Sample 1 si ze. n2 Sample 2 si ze.[...]

Inference aplet 11-19 Results The results are: Two-Sample T-Interval Menu name T-INT: μ 1 – μ 2 This option uses the Student’s t-distribution to calculate a confidence interval for the difference between the means of two populations, μ 1 – μ 2, when the population standard deviations, s1and s2 , are unknown. Inputs The inputs are: Result [...]

11-20 Inference a plet Results The results are: Result Description Critical T Critical value for T. μ Min Lower bound for μ 1 – μ 2 . μ Max Upper bound for μ 1 – μ 2 . Δ Δ HP 39gs English. book Page 20 Wednes day, December 7, 2005 11:24 PM[...]

Using the Finance Solver 12-1 12 Using the Finance Solver The Finance Solver, or Finance a plet , is available by using the APLET key in your calculator. Use the up and down arrow keys to select the Finance aplet. Your screen should look as follows: Press the key or the soft menu key to activate the aplet. The result ing screen shows the diff erent[...]

12-2 Using the Finance Sol ver combined amount earns interest at a certain rate. Financial calculations involving compound interest include savings accounts, mo rtgages, pension funds, leases, and annuities. Time Value of Money (TVM) calculations, as the name implies, make use of the notion that a dollar today will be worth more than a dollar somet[...]

Using the Finance Solver 12-3 flow diagram shows lease payments at the beginning of each period. The following cash flow diagram shows deposits into an account at the end of each period. As these cash-flow diagrams imply, there are five TVM variables: PV 1 23 4 5 FV Capitalized value o f lease } PM T PM T PM T PM T PM T PV 1 23 4 5 FV PM T PM T PM [...]

12-4 Using the Finance Sol ver Performing TVM calculations 1. Launc h the Financ ial Sol ver as indicat ed at the beginning of this secti on. 2 . Use the arro w k ey s to highlight the diff eren t fields and enter the kno wn var iables in the TVM calculati ons, pres sing the soft -menu k ey after enter ing each kno wn value . Be sure that v alues a[...]

Using the Finance Solver 12-5 Example 1 - Loan calculations Suppose you finance the purcha se of a car with a 5-year loan at 5.5% annual intere st, compounded monthly. The purchase price of the car is $19 ,500, and the down payment is $3,000. What are the requi red monthly payments? What is the largest loan you can afford if your maximum monthly pa[...]

12-6 Using the Finance Sol ver Example 2 - Mortgage with balloon payment Suppose you have taken out a 30-year, $ 150,000 house mortgage at 6.5% annual interest. You expect to sell the house in 10 years, repay ing the loan in a balloon payment. Find the size of the balloon payment, the value of the mortgage after 10 years of payment. Solution. The f[...]

Using the Finance Solver 12-7 Calculating Amortizations Amortization calculations, which also use the TVM variables, determine the amounts applied towards principal and interest in a payment or series of payments. To calculate amortizations: 1. Start the F inance Sol ver as indi c ated at the beginning of t his sec tion. 2 . Set the f ollow ing T V[...]

12-8 Using the Finance Sol ver 3 . Pr ess the soft menu k ey to amortiz e the new batch of pa yments. R epeat steps 1 thr ough 3 as often as needed. Example 4 - Amortization for home mortgage For the results of Example 3, show the amortization of the next 10 years of the mortgage loan. First, press the soft menu key. Then, keeping 120 in the PAYMEN[...]

Using mathematical fun ctions 13-1 13 Using mathematical func tions Math functions The HP 39gs contains many math functions. The function s 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 working with pro babil[...]

13-2 Using mathematical functions 2 . T h e list of f unctions (on the r ight) applie s to the c u rr ently hi ghlighted category (on the left). Use and to sw itch between the categor y list and th e functi on list. 3 . Hi ghlight the name of the functi on you w ant and pres s . This copie s the function name (and an initial parenthe s is, if appr [...]

Using mathematical fun ctions 13-3 Keyboard functions The most frequently used functions are available directly from the keyboard. Many of the keyboard functions also accept complex numbers as arguments. ,, , Add, Subtra ct, Multiply, Di vide. Also accepts complex numbers, lists and matrices. val u e1 + va lu e 2 , etc. e x Natural exponential. Als[...]

13-4 Using mathematical functions 10 x Exponential (antilogarithm). Also acc epts complex numbers. 10^ val u e Example 10^3 r eturns 1000 Common logarithm. Also accepts complex numbers. LOG ( val ue ) Example LOG(100) r eturns 2 ,, Sine, cosine, tangent. Inputs and outputs depend on the current angle format (Degrees, Radians, or Grads). SIN ( val u[...]

Using mathematical fun ctions 13-5 ATAN Arc tangent: tan –1 x . Output range is from –90° to 90°, 2 π /2 to π /2, or –100 to 100 grad s. Inputs and outputs depend on the current an gle format. Al so accepts complex numbers. ATAN ( valu e ) Example ATAN(1) ret u rn s 45 (Degrees mode). Square. Also accept s complex numbers. val u e 2 Examp[...]

13-6 Using mathematical functions Takes the n th root of x . roo t NTHROOT val ue Example 3 NTHROOT 8 r eturns 2 Calculus functions The symbols for differentiation and integration are available directly form the keyboard — and S respectively—as well as from the MATH menu. Differentiates expres sion with respect to the variable of differentiatio[...]

Using mathematical fun ctions 13-7 TAYLOR Calculates the n th order Taylor polynomial of expression at the point where the given variable = 0. TAYLOR ( e x pre ssion, v a r iable, n ) Example TAYLOR(1 + sin(s1) 2 ,s1,5) w ith Radians angle measur e and Fr action number f ormat (set in MODE S) re turns 1+s1^2-1/3*s1^4 . Complex number functions Thes[...]

13-8 Using mathematical functions Constants The constants available from the MATH FUNCTIONS menu are mathematical constants. These are des c ribed in this section. The hp 39gs has two other menus of constants: program constant s and physical constants. These are described in “Program constants and physical constants” on page 13-24. e Natural lo[...]

Using mathematical fun ctions 13-9 → IN Convert from centimeters to inches. → L Convert from US gallons to liters. → LGAL Convert from liters to US gallons. → KG Convert from pounds to kilograms. → LBS Convert from kilograms to pounds. → KM Convert from miles to kilometers. → MILE Convert from kilometers to miles. → DEG Convert from[...]

13-10 Using mathematical functions EXP Natural exponential. This is more accurate than due to limitations of the power function. EXP ( val ue ) EXPM1 Exponent minus 1 : . This is more accurate than EXP when x is close to zero. EXPM1 ( val ue ) LNP1 Natural log plus 1 : ln( x+1 ). This is mo re accurate than the natural logarithm function when x is [...]

Using mathematical fun ctions 13-11 Σ Summation. Finds the sum of expression with respect to variable from initialvalue to finalvalue. Σ ( v ariable = initial value , fi n alva l ue , expressio n ) Example Σ (C=1,5,C 2 ) r eturns 5 5 . Matrix functions These functions are for matr ix data stored in matrix variables. See “Matrix func tions and [...]

13-12 Using mathematical functions POLYROOT Polynomial roots. Return s the roots for the n th-order polynomial with the specified n +1 coefficients . POLYROOT ([ coef fic ients ]) Example Fo r x 4 +2x 3 –25x 2 –26x+120 : POLYROOT([1,2,-25,-26,120]) r eturns [2,-3,4,-5] . HINT The results of POLYROOT will often not be easily seen in HOME due to [...]

Using mathematical fun ctions 13-13 RANDOM Random number (between zero and 1). Produced by a pseudo-random number sequence. The algorithm used in the RANDOM function uses a seed number to begin its sequence. To ensure that two calculators must produce different results for the RANDOM function, use the RANDSEED function to seed different starting va[...]

13-14 Using mathematical functions Examples CEILING(3.2) r eturns 4 CEILING(-3.2) r eturns -3 DEG → RAD Degrees to radians. Converts value from Degrees angle format to Radians angle format. DEG → RAD ( val ue ) Example DEG → RAD( 180 ) r eturns 3.14159265359 , the val u e o f π . FLOOR Greatest integer less than or equal to value . FLOOR ( v[...]

Using mathematical fun ctions 13-15 with a decimal fraction) to H.MMSSs forma t (time or angle up to fractions of a second). → HMS ( x.x ) Example → HMS(8.5) r eturns 8.3 INT Integer part. INT ( val ue ) Example INT(23.2) r eturns 23 MANT Mantissa (significant digits) of value . MANT ( valu e ) Example MANT(21.2E34) r eturns 2.12 MAX Maximum. T[...]

13-16 Using mathematical functions Example % CHANGE(20,50) r eturns 150 %TOTAL Percent total : (100) y/ x . What percentage of x , is y . % TOTAL ( x , y ) Example % TOTAL(20,50) r eturns 250 RAD → DEG Radians to degrees. Converts value from radians to degrees. RAD → DEG ( val ue ) Example RAD → DEG( π ) r eturns 180 ROUND Rounds value to de[...]

Using mathematical fun ctions 13-17 XPON Exponent of value . XPON ( valu e ) Example XPON(123.4) r eturns 2 Two-variable statistics These are functions for use with two-variable statistics. See “Two-variable” on page 1 0-15. Symbolic functions The symbolic functions are used for symbolic manipulations of expression s. The variables can be forma[...]

13-18 Using mathematical functions QUAD Solves quadratic expression= 0 for variab le and returns a new expression, where variable = newexpression. The result is a general solution th at represents both positive and negative solutions by in cluding the formal variable S1 to represent any sign: + or – . QUAD( ex pre ss io n , variab le ) Example QU[...]

Using mathematical fun ctions 13-19 = = Equals (logical test). Returns 1 if true, 0 if false. val u e1 == va lu e 2 ≠ Not equal to. Returns 1 if true, 0 if false. val u e1 ≠ va l ue 2 > Greater than. Returns 1 if true, 0 if false. val u e1 > va l ue 2 ≥ Greater than or equal to. Returns 1 if true, 0 if false. val u e1 ≥ va l ue 2 AND [...]

13-20 Using mathematical functions ACSC Arc cosecant. ACSC ( val ue ) ASEC Arc secant. ASEC ( val ue ) COT Cotangent: cos x /sin x . COT ( val ue ) CSC Cosecant: 1/sin x CSC ( val ue ) SEC Secant: 1/cos x . SEC ( val ue ) Symbolic calculations The HP 39gs has the ability to perform symbolic calculations, for example, symbolic integration and differ[...]

Using mathematical fun ctions 13-21 (The | symbol is in the CHARS menu: press CHARS . The = sign is listed in the MATH menu under Symbolic functions.) Symbolic calculations in the Function aplet You can perform symbolic operations in the Functi on aplet’s Symbolic view. For example, to find the derivative of a function in the Functi on aplet’s [...]

13-22 Using mathematical functions S1 2 . Ev aluate the functi on. 3 . Sho w the re sult. To find derivatives in the Function aplet’s Symbolic view To find the derivative of the fu nction in the Function aplet’s Symbolic view, you define two functions and define the second function as a der ivati ve of the first function. For example, to differ[...]

Using mathematical fun ctions 13-23 4. Pres s to display the r esult. Note : Use the arr ow k ey s to vi ew the entir e functio n. | Y ou could al so just define . To find the indefinite integral using formal variables F or example , to find th e indefinite integral of use: 1. Enter the f unction. 0 S1 3 X 5 X 2 . Sho w the re sult format . 3 . Pre[...]

13-24 Using mathematical functions This result is derived from substituting X = S1 and X = 0 into the original expression found in step 1. However, substituting X = 0 will not always evaluate to zero and may result in an unwanted constant. To see this, consider: The ‘extra’ constant of 6.4 results from the substitution of into ( x –2 ) 5 /5 ,[...]

Using mathematical fun ctions 13-25 To access the menu of program constants: 1. Pres s . 2. P r e s s . 3 . Us e the arro w ke y s to na vigate thr ough the options . 4. Click and th en to display the number assigned to th e option you selected in the pre viou s step. The use of program constants is illustrated in more detail in “Programming” o[...]

13-26 Using mathematical functions Example Suppose you want to know the potential energy of a mass of 5 units according to the equation . 1. Enter 5 2 . Pres s and th en pr ess . 3 . Select light s... fr om the Phy s ics m enu . 4. Pr ess . The men u closes and the v alue of the select ed c onstant is copi ed to the edit line. 5 . Complete the equa[...]

Variables and me mory management 14-1 14 V ariables and memory manag ement Introduction The HP 39gs has approximately 200K of user memory. The calculator uses this memory to store variables, perform computations, and store history. A v a r i a b l e i s a n o b j e c t t h a t y o u c r e a t e i n m e m o r y t o h o l d data. The hp 39gs h as two[...]

14-2 Variables and memory management Storing and recalling variables You can store numbers or expressions from a pr evious input or result into variables. Numeric Precision A number stored in a variable is always stored as a 12- digit mantissa with a 3-digit exponent. Numeric precisio n in the display, however, de pends on the display mode (Standar[...]

Variables and me mory management 14-3 5 . Enter a name f or the var iable . A 6 . Pr ess to st ore the r esult . The results of a calculation can also be stored directly to a variable. For example: 2 5 3 B To recall a value To recall a variable’s value, type the name of the variable and press . A To use variables in calculations You can use varia[...]

14-4 Variables and memory management The VARS menu You use the VARS menu to access all variables in the calculator. The VARS menu is organised by category. For each variable category in the left column, there is a list of variables in the right colu mn. You select a variable category and then select a variable in the category. 1. Open the V ARS men[...]

Variables and me mory management 14-5 5 . Choo se whether to place the v ariable name or the var iable v alue on the command line. – Pres s to indicate that y ou want the var iable ’s c ontents t o appear on the command line. – Pr ess to indicate that y ou wa nt the var iable ’s name to appear on the command line. 6 . Pr ess to place the va[...]

14-6 Variables and memory management 4. Enter data for L2 . 55 48 86 90 77 5 . Pres s to access HOME . 6 . Open the v a r iable menu and select L1. 7 . Cop y it to the command line. Note: Because the option is highli ghted, the v ariable ’s name, rather than its cont ents, is copied to the command line . 8. Insert the + oper ator and select the L[...]

Variables and me mory management 14-7 Home variables It is not possible to store data of one type in a variable of another type. For example, yo u use the Matrix catalog to create matrices. You can crea te up to ten matrices, and you can store these in variables M0 to M9. You cannot store matric es in variab les other than M0 to M9. Cate- gory Av a[...]

14-8 Variables and memory management Aplet variables Most aplet va riables store v alues that a re unique to a particular aplet. These include symbolic expressions and equations (see below), settings for the Plot and Numeric views, and the results of some calculations such as roots and intersections. See the Reference Information chapter for more i[...]

Variables and me mory management 14-9 6 . T o copy the value of the var iable int o the edit line , pres s and pres s . Memory Manager You can use the 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 M[...]

HP 39gs English. book Page 10 Wednes day, December 7, 2005 11:24 PM[...]

Matrices 15-1 15 M atrices Introduction You can perform matrix calc ulations i n 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: is displayed in the history as: [[1,2,3],[4,5,6]] (If the Decimal Mark mode is set to Comma , then se par[...]

15-2 Matri ces Creating and storing matrices You can create, edit, delete, send, and receive matrices in the Matrix catalog. To open the Matrix catalog, press MATRIX . You can also create and store matrices—named or unnamed—-in HOME. For example, the command: POLYROOT([1,0,–1,0])  M1 stores the root of the complex vector of length 3 into t[...]

Matrices 15-3 To create a matrix in the Matrix Catalog 1. Pres s MATRIX to open the Matr ix Catalog . The Matri x catalog lists the 10 a vailable matr ix v ariables , M0 to M9 . 2 . Highli ght the matri x var iable name you w ant to use and pres s . 3 . Selec t the t ype o f matri x to cr eate. – For a v ector (o ne -dimension al array) , select [...]

15-4 Matri ces A matrix is listed with two dimensions, even if it is 3×1. A vector is listed with the number of elements, such as 3. To transmit a matrix You can send matrices between calculato rs just as you can send aplets, programs, lists, and notes. 1. Align the HP 3 9gs calculator s’ infr ared ports (or connect the calculator s using an app[...]

Matrices 15-5 To display a matrix • In the Matri x catalog ( MATRIX ), highlight the matri x name and press . • In HOME , enter the name of the matri x var iable and pres s . To display one element In HOME, enter matrixname ( row,column ). For example, if M2 is [[3,4],[5,6]] , then M2(1,2) returns 4 . To create a matrix in HOME 1. Enter the mat[...]

15-6 Matri ces To store one element In HOME, enter, value matrixname ( row, column ). For example, to change the element in the first row and second column of M5 to 728, then display the resulting matrix: 728 M 512 M5 . An attempt to store an element to a row or column beyond the size of the matrix results in an error message. Matrix arithmetic You[...]

Matrices 15-7 3 . Add the matr ices that you c re a t e d. M1 M2 To multiply and divide by a scalar For division by a scalar, enter the matrix first, then the operator, then the scalar. For multiplication, the order of the operands does not matter. The matrix and the scalar can be real or co mplex. For example, to divide the result of the previous [...]

15-8 Matri ces M1 2 To divide by a square matrix For division of a matrix or a vector by a square matrix, the number of rows of the dividend (or the number of elements, if it is a vector) must equal the number of rows in the divisor. This operation is not a mathematical division : it is a left- multiplication by the inverse of the divi sor. M1/M2 i[...]

Matrices 15-9 2 . Cr eate the vect or of the constants in the linear sys te m . 5 7 1 3 . R eturn to the Matri x Cat al og. MATRIX In this ex ample , the vec tor you cr eated is listed a s M1. 4. Cr eate a new matri x. Select Real matrix 5 . Enter the eq uation coeffi cients. 23 4 11 1 4 12 In this ex ample , the matri x y ou cr eated is listed as [...]

15-10 Matri ces Matrix functions and commands About functions • Fu n c t io n s c a n b e u s e d i n a n y a p l e t o r i n H O M E. Th ey ar e listed in the MA TH menu unde r the Matri x categor y . They can be u sed in mathematical expr essions —primaril y i n HOME—as w ell as in progr ams. • F unctions al wa ys pr oduce and displa y a [...]

Matrices 15-11 COND Condition Number. Finds the 1-norm (column norm) of a square matr ix . COND ( matri x ) CROSS Cross Product of vector1 with vector2 . CROSS ( vec to r1 , ve ct or 2 ) DET Determinant of a square matrix . DET ( matri x ) DOT Dot Product of two arrays, matrix1 matrix2 . DOT ( matri x1, matrix2 ) EIGENVAL Displays the eigenvalue s [...]

15-12 Matri ces LU LU Decomposition. Factors a squar e matrix into three matrices: {[[ lowertriangular ]],[[ uppertriangular ]],[[ permutation ]]} The uppertriangular has ones on its diagonal. LU ( matri x ) MAKEMAT Make Matrix. Creates a matrix of dimension rows × columns , using expression to calculate each element. If expression contains the va[...]

Matrices 15-13 SPECNORM Spectral No rm of matrix . SPECNORM ( matri x ) SPECRAD Spectral R adius of a square matrix . SPECRAD ( matri x ) SVD Singular Value Decomp osition. Factors an m × n matrix into two matrices and a vector: {[[ m × m square orthogonal ]],[[ n × n square orthogonal ]], [ real ]}. SVD ( matri x ) SVL Singular Values. Returns [...]

15-14 Matri ces Trans posing a Matrix The TRN function swaps the row-column and column-r ow elements of a matrix. For instance, element 1,2 (row 1, column 2) is swapped with element 2,1; element 2,3 is swapped with element 3,2; and so on. For exampl e, TRN([[1,2],[3,4]]) creates the matrix [[1,3],[2,4]] . Reduced-Row Echelon Form The following set [...]

Matrices 15-15 The final row of zeros in the reduced-row echelon form of the augmented matrix indicates an inconsistent system with infinite solutions . HP 39gs English. book Page 15 Wednes day, December 7, 2005 11:24 PM[...]

HP 39gs English. book Page 16 Wednes day, December 7, 2005 11:24 PM[...]

Lists 16-1 16 L ists You can do list operations in HOME and in programs. A list consists of comma-separated real or complex numbers, expressions, or matr ices, all enclosed in braces. A list may, for example, contain a sequence of real numbers such as {1,2,3} . (If the Decimal Mark mode is set to Comma , then the separators are periods.) Lists repr[...]

16-2 Lists 3. E nter t he values you want i n th e li st, pressin g after each one. V alues can be r eal or comple x numbers (or an expr ession) . If you enter a calculati on, it is ev aluated and the re sult is inser ted in the list . 4. When done , pre ss LIST to see the List catalog, or pres s to retur n to HOME . List catalog keys The list cata[...]

Lists 16-3 List edit keys When you press to create or change a list, the following keys are available to you : Create a list in HOME 1. Enter the list on the edit line. Start and end t he list w ith braces (the shift ed and k ey s) and separate each element w ith a comma. 2 . Pres s to ev al uate and displ ay the list. Immediatel y after typing in [...]

16-4 Lists Displaying and editing lists To display a list • In the List catalog , highlight the list name and pr ess . • In HOME , enter the name of the lis t and press . To display one element In HOME, enter listname ( element# ). For example, if L2 is {3,4,5,6}, then L2(2) returns 4 . To edit a list 1. Open the List catalog. LIST . 2 . Pr ess[...]

Lists 16-5 To insert an element in a list 1. Open the List catalog. LIST . 2. P r e s s o r t o highligh t the name of the list y ou want t o edit (L1, etc.) and pr ess to display the lis t contents . New elements are inserted above the highlighted positio n. In this example, an element, with the value of 9, is inserted between the first and second[...]

16-6 Lists Deleting lists To delete a list In the List catalog, highli ght the list name and press . You are prompted to confirm that you want to delete the contents of the highlighted list variable. Press to delete the contents. To delete all lists In the List catalog, press CLEAR . Transmitting lists You can send lists to calculators or PCs just [...]

Lists 16-7 CONCAT(L1,L2) . An argumen t can be either a list var iable name (suc h as L1) or the actual list. F or ex ample, REVERSE({1,2,3}) . • If Dec imal Mark in Modes is set to Comma , use peri ods to separate ar guments. F or ex ample , CONCAT(L1.L2) . Common operators like +, –, ×, and / can take lists as arguments. If t here are two ar[...]

16-8 Lists 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 ,2 3 } L 5 L Select Δ LIST L5 MAKELIST Calculates a sequence of elements for a new list. Evaluates expression with variable from begin to end values, taken at increment steps. MAKELIST( expression , va riab l e , begin , end , incr[...]

Lists 16-9 position of the first occurrence is returne d . A value of 0 is returned if there is no occurrence of the specified eleme nt. POS( list, element ) Example POS ({3, 7, 12, 19},12) returns 3 REVERSE Creates a list by reversing the order of the elements in a list. REVERSE( list ) SIZE Calculates the number of elements in a list. SIZE( list [...]

16-10 Lists 2 . In HOME , store L1 in to C1. Y ou w ill then be able to see the list data in the Numer ic vi ew of the Statisti cs aplet. L1 C1 3 . St ar t the Statis tics aplet, and s elect 1-var iable mode (pre ss , if necessary , to display ) . Select Statistics Note: Y our list values are no w in column 1 (C1) . 4. In the S ymbolic vie w , defi[...]

Notes and sketches 17-1 17 Notes and sk etc hes Introduction The HP 39gs has text and pi cture editors for entering notes and sk etches. • E ach aplet has its ow n independent Note v iew and Sk etc h view . Notes and sk etches that you c reate in these vi ews ar e assoc iated w it h the apl et. W h en you sav e the aplet , or send it to another c[...]

17-2 Notes and sketches Note edit keys Key M e a n i n g Space key for text entry. Displays next page o f a multi-page note. Alpha-lock for letter entry. Lower-case alpha-lock for letter entry. Backspaces cursor and deletes character. Deletes current character. Starts a new line. CLEAR Erases the entire note. Menu for entering variable names, and c[...]

Notes and sketches 17-3 Aplet sketch view You can attach pictures to an aplet in its Sketch view ( SKETCH ). Y our wor k is automaticall y sav ed w ith the aplet . Press an y other vie w ke y or to ex it the Sketc h view Sketch keys To dra w a line 1. In an aplet, pr ess SKETCH f or th e Sk etch vie w . 2 . In Sk etch v iew , pres s and mo ve the c[...]

17-4 Notes and sketches To draw a box 1. In Sk etch v iew , press and mo ve the cur sor to wher e you want an y corner of the box to be. 2. P r e s s . 3 . Mov e the curs or to mark the opposite corner f or the bo x. Y ou can adju st the si ze o f the box b y mov ing the cu rs or. 4. Pr ess to finish the bo x. To draw a circle 1. In Sketc h vi ew ,[...]

Notes and sketches 17-5 To label parts of a sketch 1. Pr ess and type the t ext on the edit line . T o lock the Alpha shift on, pr ess (f or uppercase) or (for low er case). T o mak e the label a smaller char acter si z e, tur n off befor e pressing . ( is a toggle betwee n small and large fon t siz e). The smaller char acter si z e cannot display [...]

17-6 Notes and sketches To import a graphics variable You can copy the contents of a graphics v ariable into the Sketch view of an aplet. 1. Open the Sketch v iew of the aplet ( SKETCH ). The gr aphic will be cop ied here . 2 . Pr ess , . 3 . Hi ghlight Graphic , the n pres s and highligh t the name of the var iable ( G1 , etc.). 4. Pr ess to recal[...]

Notes and sketches 17-7 4. W rite y our note. See “Note edit k ey s ” on page 17 - 2 for mor e infor mation on the entry and editing of notes. 5 . When you ar e finish ed, pr ess or an aplet key to e xit Notepad . Y our wor k is automaticall y sav ed. Notepad Catalog keys Key M e a n i n g Opens the selected note for editing. Begins a new note,[...]

17-8 Notes and sketches To import a note You can impo rt a note from the Notepad into an aplet’s Note view, and vice versa. Suppose you wan t to copy a note named “Assignments” fr om the Notepad into the Function Note view: 1. In the F unction aplet , display the Note v ie w ( NOTE ). 2 . Pr ess , highlight Notepad in the left column, then hi[...]

Programming 18-1 18 Pr ogramming Introduction This chapter describes how to program using the hp 39gs. In this chapter you’ll learn about: • using the Pr ogram catalog to cr eate and edit progr ams • progr amming commands • stor ing and retr iev ing var iables in pr ograms • progr amming var iables. HINT More information on programming, i[...]

18-2 Programming Example RUN GETVALUE: RUN CALCULATE: RUN " SHOW ANSWER " : This program is separated into three main tasks, each an individual program. Within each program, the task can be simple—or it can be di vided further into other programs that perform smaller tasks. Program catalog The Program catalog is wher e you create, edit,[...]

Programming 18-3 Program catalog keys The program catalog keys are: Key M e a n i n g Opens the highlighted program for editing. Prompts for a new program name, then opens an empty program. Transmits the highlighted program to another HP 39gs or to a disk drive. Receives the highlighted program from another HP 39gs or from a disk drive. Runs the hi[...]

18-4 Programming Creating and editing programs Create a new program 1. Pres s PROGRM to open the Progr a m catalog . 2. P r e s s . The HP 3 9gs prompts yo u fo r a n am e. A progr am name can contain spec ial char acters , such as a space . Ho wev er , if you use spec ial char acters and then r un the progr a m by t yping it in HOME , y ou must en[...]

Programming 18-5 2 . On the left , use or to highlight a command category , then pr ess to access the commands in the category . Select the command that y ou wan t. 3 . Pr ess to paste the command into the pr ogram editor . Edit a program 1. Press PROGRM to open the Progr am catalog. 2 . Us e the arro w k ey s to highlight the pr ogram y ou want to[...]

18-6 Programming Editing keys The editing keys are: Key M e a n i n g Inserts the character at the editing point. 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 cur[...]

Programming 18-7 Using programs Run a program From HOME, type RUN program_name. or From the Program catalog, highlight the program you want to run and press Regardless of where you star t the program, all programs run in HOME. What you see will differ slightly depending on where you started the program. If you start the program from HOME, the HP 39[...]

18-8 Programming Copy a program You can use the following procedure if you want to make a copy of your work before editing—or if you want to use one program as a template for another. 1. Pres s PROGRM to open the Progr a m catalog . 2. P r e s s . 3 . T ype a ne w file name , then choose . The Pr ogram E ditor opens with a ne w progr am. 4. Pres [...]

Programming 18-9 Delete a program To delete a program: 1. Pres s PROGRM to open the Progr am catalog. 2 . Hi ghlight a progr am to delete , then pr ess . Delete all programs You can delete all programs at once. 1. In the Pr ogram catalog , pres s CLEAR . 2. P r e s s . Delete the contents of a program You can clear the contents of a program without[...]

18-10 Programming 4. Dev elop a progr am that uses the SETVIEW S command to modify the aplet’s VIEW S menu . The menu options pr ov ide links to a ssoci ated progr ams. Y ou can spec if y an y other progr ams that you w ant trans ferr ed with the aplet . See “SETVIEWS” on page 18-14 for info rmation on the command. 5 . Ensur e that the cust o[...]

Programming 18-11 Save the aplet 1. Open the Func tion aplet and sa ve it as “EXP ERIMENT” . T he new aplet ap pears in the Aplet library . Select Function EXP ERIMENT 2 . Cr eate a pr ogram called EXP .ME1 w ith contents as shown . This progr am confi gures the plot ra nges, then runs a progr am that allo ws y ou to set the angle fo rmat. 3 . [...]

18-12 Programming 6 . Open the Pr ogram catalog and c reate a pr ogram named “EXP . SV” . Include the f ollow ing code in the progr am. E ach entry line after the command SETVIEW S is a trio that consists of a VIEW S menu te xt line (a spac e indicate s none) , a progr am name , and a number that def i nes the v ie w to go to after the progr am[...]

Programming 18-13 ’ ’ ’ ’ ;’ ’ EXP.ANG’ ’ ;0; The pr ogram EXP .ANG is a small r outine that is called by other pr ograms that the aplet use s. This entry spec ifies that the progr am EXP.ANG is transfer red when the aplet is tr ansferr ed, but the s pace in the fir st quotes ensur es that no entry appears on the menu . ’ ’ Star[...]

18-14 Programming Aplet commands CHECK Checks (selects) the correspon ding function in the current aplet. For example, Check 3 would check F3 if the current aplet is Function. Then a checkmark would app ear next to F3 in Symbolic view, F3 would be plotted in Plot view, and evaluated in Numeric view. CHECK n : SELECT Selects the named aplet and ma k[...]

Programming 18-15 options us e, or the pr ogr a m that def ines the aplet’s VIEW S menu. • Y ou can include a “S tart” option in the VIEW S menu to spec ify a progra m that you wa nt to run automati cally when the aplet starts. T his progr am typically sets up the aplet’s initial configur at ion . The S T ART opti on on the menu is also u[...]

18-16 Programming ProgramName ProgramName is the name of the program that runs when the corresponding menu entry is selected. All programs that are identified in the aplet’s SETVIEW S command are transferred when the aplet is transmitted. ViewNumber V iewNumber is the number of a view to start after the program finishes running. For example, i f [...]

Programming 18-17 View numbers The Function aplet views are numbered as fo llows: View numbers from 15 on will vary according to the parent aplet. The list shown above is for the Function aplet. Whatever the normal VIEWS menu for the parent aplet, the first entry will become number 15, the second number 16 and so on. UNCHECK Unchecks (unselects) th[...]

18-18 Programming Example 1  A : IF A==1 THEN MSGBOX " A EQUALS 1" : END: IF... THEN... ELSE... END Executes the true-clause seque nce of commands if the test- clause is true, or the false-clause sequ ence of commands if the test-clause is false. IF test-clause THEN true-clause ELSE false-clause END Example 1  A : IF A==1 THEN MSGBO[...]

Programming 18-19 IFERR...THEN...ELSE…END allows a program to intercept error conditions that otherwise would cause the program to abort. Its syntax is: IFERR tr ap-clause THEN clause _1 ELSE clause _2 END : Example IFERR 60/X  Y: THEN MSGBOX "Error: X is zero.": ELSE MSGBOX "Value is "Y: END: RUN Runs the named program. If[...]

18-20 Programming Example ARC 0;0;2;0;2 π : FREEZE: Dr aws a c ir cle center ed at (0, 0) of radiu s 2 . The FREEZE command causes the c i rc le to remain display ed on t he scr een until yo u pres s a k ey . BOX Draws a box with diagonally opposite corners ( x1,y1 ) and ( x2,y2 ). BOX x1 ; y1 ; x2 ; y2 : Example BOX -1;-1;1;1: FREEZE: Dr aws a b [...]

Programming 18-21 Example TLINE 0;0;3;3: Er ases pre vi ously dr aw n 45 degr ee line fr om (0,0 ) to (3, 3) , or dr aws that line if it doesn ’t alread y ex ist. Graphic commands The graphic commands use th e graphics variables G0 through G9—or the Page variable from Sketch—as graphicname arguments. The position argument takes the form ( x,y[...]

18-22 Programming will superimpose G1 onto G0 starting a position (1,1), where the position is given in terms of the current axes settings, not as a pixel position. GROBXOR Using the logical XOR, superimposes graphicname2 onto graphicname1 . The upper left corner of graphicname2 is placed at position . GROBXOR gr aphicname1 ; ( position) ; gr aphic[...]

Programming 18-23 ZEROGROB Creates a blank graphic with given width and height , and stores it in graphicname . ZEROGROB gr aphicname ; wi dt h ; heigh t : Loop commands Loop hp allow a program to execute a routine repeatedly. The HP 39gs has three loop structures. The example programs below illustrate each of these structures incrementing the vari[...]

18-24 Programming Note that the STEP parameter is optional. If it is omitted, a step value of 1 is assumed. BREAK Terminates loop. BREAK: Matrix commands The matrix commands take variables M0–M9 as arguments. ADDCOL Add Column. Inserts values into a column before column_number in the specified matrix . You enter the values as a vector. The values[...]

Programming 18-25 RANDMAT Creates random matrix with a specified number of rows and columns and stores the result in name ( name must be M0...M9 ). The entries will be integers ranging from –9 to 9. RANDMAT name ; rows ; c olumns : REDIM Redimensions the specified matrix or vector to size . For a matrix, size is a list of two integers {n1,n2 } . [...]

18-26 Programming Print commands These commands print to an HP infrared printer, for example the HP 82240B printer. PRDISPLAY Prints the contents of the display. PRDISPLAY: PRHISTORY Prints all objects in the histo ry. PRHISTORY: PRVAR Prints name and co ntents of variablename . PRVAR var iablename : You can also use the PRVAR command to print th e[...]

Programming 18-27 Example 3  A:CHOOSE A; "COMIC STRIPS"; "DILBERT"; "CALVIN&HOBBES"; "BLONDIE": CLRVAR Clears the specified va riable. The syntax is: CLRV AR var iable : Example If you have stored {1,2,3,4} in variable L1, entering CLVAR L1 w ill clear L1. DISP Displays textitem in a row of the display[...]

18-28 Programming Example DISPXY –3.5;1.5;2;"HELLO WORLD": DISPTIME Displays the current date and time. DISPTIME To set the date and time, simply store the correct settings in the date and time variables. Use the following formats: M.DDYYYY for the date and H.MMSS for the time. Examples 5.152000  DATE( sets the date to May 15, 2000).[...]

Programming 18-29 GETKEY Waits for a ke y, then sto res the keyco de rc.p in name, where r is row number, c is column number, and p is key- plane number. The key-planes numbers are: 1 for unshifted; 2 for shifted; 4 for alpha-shifted; and 5 for both alpha-shifted and shifted. GETKEY name : INPUT Creates an input form with a title bar and one field.[...]

18-30 Programming PROMPT Displays an input box with name as the title, and prompts for a value for name . name can be a variable such as A…Z, θ , L1…l9, C1…C9 or Z1…Z9. PROMPT name : WAIT Halts program execution for the specified number of seconds. WAIT seco nds : Stat-One and Stat-Two commands The following commands are used for analyzing[...]

Programming 18-31 Datasetname can be SI, S2,..., or S5. Datasetname must include at least two pairs of data points. DO2VSTATS datasetname : SETDEPEND Sets datasetname dependent column . Datasetname can be S1, S2, …, or S5 and column can be C0–C9. SETDEPEND datasetname ; column : SETINDEP Sets datasetname independent column . Datasetname can be [...]

18-32 Programming Plot-view variables Area Function Contains the last value found by the Area function in Plot- FCN menu. Axes All Aplets Turns axes on or off. From Plot Setup, check (or uncheck) AXES . or In a program, type: 1  Axes —to turn axes on (def ault) . 0  Axes —to turn axes off. Connect Function Parametric Polar Solve Statistic[...]

Programming 18-33 Grid All Aplets Turns the background grid in Plot view on or o ff. From Plot setup, check (or uncheck) GRID . or In a program, type 1  Grid to turn the gr id on . 0  Grid to turn the gr id off (def ault) . Hmin/Hmax Statistics Defines minimum and maximum values for histogram bars. From Plot Setup for one-variable statistics,[...]

18-34 Programming Isect Function Contains the last value found by the Inte rsection function in the Plot-FCN menu. Labels All Aplets Draws labels in Plot view showing X and Y ranges. From Plot Setup, check (or uncheck) Labels or In a program, type 1  Labels —to turn labels on . 0  Labels —to turn labels off (de fault) . Nmin / Nmax Sequen[...]

Programming 18-35 S1mark–S5mark Statistics Sets the mark to use for scatter plots. From Plot Setup for two-variable statistics, S1mark- S5mark , then choose a mark. or In a program, type n  S1mark whe re n is 1,2,3,...5 SeqPlot Sequence Enables you to choose types of sequence plot: Stairstep or Cobweb. From Plot Setup, select SeqPlot , then ch[...]

18-36 Programming Umin/Umax Polar Sets the minimum and maxi mum independent values. Appears as the URNG field in the Plot Setup input f orm. From the Plot Setup input form, enter values for URNG . or In a program, type  Umin  Umax wher e Ustep Polar Sets the step size for an independent variable. From the Plot Setup input form, enter values f[...]

Programming 18-37 Tstep Parametric Sets the step size for the independent variable. From the Plot Setup input form, enter values for TSTEP . or In a program, type n  Tstep whe re Xcross All Aplets Sets the horizontal coordinate of the crossh airs. Only works with TRACE off. In a program, type n  Xcross Ycross All Aplets Sets the vertical coor[...]

18-38 Programming  Xmin  Xmax whe re Ymin / Ymax All Aplets Sets the minimum and maximum vertical values of the plot screen. Appears as the YRNG fie lds (vertical range) in the Plot Setup input form. From Plot Setup, enter the values for YRNG . or In a program, type  Ymin  Ymax whe re Xzoom All Aplets Sets the horizontal zoom factor. Fr[...]

Programming 18-39 Symbolic-view variables Angle All Aplets Sets the angle mode. From Symbolic Setup, choose Degrees , Radians , or Grads for angle measure. or In a program, type 1  Angle —for Degrees. 2  Angle —for Radians. 3  Angle —for Grads. F1...F9, F0 Function Can contain any expression. Independent variable is X . Example &apos[...]

18-40 Programming S1fit...S5fit Statistics Sets 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 c onstant numbers or names into a variable S1fit , S2fit , etc. 1 Linear 2 LogFit 3 ExpFit 4 Power 5[...]

Programming 18-41 Numeric-view variables The following aplet variabl es control the Numeric view. The value of the variable appl ies to the current aplet only. C1...C9, C0 Statistics C0 through C9 , for columns o f data. Can contain lists. Enter data in the Num eric view or In a program, type LIST  C n whe re n = 0, 1, 2, 3 ... 9 Digits All Aple[...]

18-42 Programming Note that if Fraction or Mixed Fr action is chosen, the setting will be ignored when labeling ax es in Plot view. A setting of Scientific will be used instead. Example Scientific  Format or 3  Format NumCol All Aplets except Statistics aplet Sets the column to be highlighted in Numeric view. In a program, type n  NumCol w[...]

Programming 18-43 NumStep Function Parametric Polar Sequence Sets the step size (increment value) for an independent varia ble in Numeric view. From Num Setup, enter a value for NUMSTEP . or In a program, type n  NumStep whe re NumType Function Parametric Polar Sequence Sets the table format. From Num Setup, choose Automatic or Build Your Own . [...]

Note variables The following aplet variable is available in Note view. NoteText All Aplets Use NoteText to recall text previously entered in Note view. Sketch variables The following aplet vari ables are available in Sketc h view. Page All Aplets Sets a page in a sketch set. The graphics can be viewed one at a time using the and keys. The Page vari[...]

Extending aplets 19-1 19 Extending aplets Aplets are the application environments where you explore different classes of m athematical operations. You can extend the capabili ty of the HP 39gs in the following ways: • Creat e new aplets, ba sed on ex isting aplets, with spec ific co nfigur ations suc h as angle measure , gra p hical or tabular se[...]

19-2 Exten ding aplet s 1. Open the Solve aplet and sav e it u nder the new name . Solve | T R I A N G L E S 2 . En te r t he fou r formu l as : θ O H θ A H θ OA AB C 3 . Dec ide whether y ou want the aplet t o operate in Degr ees, Radi ans, or Grads . MODES Degrees 4. Vi ew the Aple t Library . The “ TRIANGLE S” aplet is listed in the Apl e[...]

Extending aplets 19-3 Using a customized aplet To use the “Triangles ” aplet, simply select the appropriate formula, change to the Numeric view and solve for the missing variable. Find the length of a ladder leaning against a vertical wall if it forms an angle of 35 o with the horizontal and extends 5 metres up the wall. 1. Selec t the aplet. T[...]

19-4 Exten ding aplet s Annotating an aplet with notes The Note view ( NOTE ) attaches a note to the current aplet. See Chapter 1 7, “Notes and sketches” . Annotating an aplet with sketches The Sketch view ( SKETCH ) attaches a picture to the current aplet. See chapter 17, “Notes and sketches”. HINT Notes and sketches that you attach to an [...]

Extending aplets 19-5 To transmit an aplet 1. Co nnect the PC or aple t disk dri ve to the calc ulator by cable or align the two calc ulators ’ infrar ed ports by matc hing up the tr iangle marks on the r ims of the calculat ors. P lace the calculator s no more than 4 inc hes (10 cm) apar t. 2 . Sending calc ulator : Open the Libr ar y , highligh[...]

19-6 Exten ding aplet s Note : choo se a di sk dri ve option if y ou are using the hp3 9gs connecti vity kit to transf er the aplet . Highli ght your s election and pr ess . The T r a nsmit annunciator— —i s displayed until tr ansmissio n is complete . If you are using the PC Connectivity Kit to download aplets from a PC, you will see a list of[...]

R-1 R Re ference inf o rmation Glossary aplet A small application, limited to one topic. The built-in aplet types are Function, Parametric, Polar, Sequence, Solve, Statistics, Inference, Finance, Trig Explorer, Quad Explorer, Linear Solver and Triangle Solve. An aplet can be filled with the data and solutions for a specific problem. It is reusable [...]

R-2 list A set of values separated by commas (periods if the Decimal Mark mode is set to Comma ) and enclosed in braces. Lists are commonly used to enter statistical data and to evaluate a function with multiple values. Created and manipulated b y the List editor and catalog. matrix A two-dimensional ar ray of values separated by commas (periods if[...]

R-3 Resetting the HP 39gs If the calculator “locks up” and seems to be stuck, you must reset it. This is much like resetting a PC. It cancels certain operations, restores ce rtain conditions, and clears temporary memory locations. However, it does not clear stored data (variables, aplet datab ases, programs) unless you use th e procedur e, “T[...]

R-4 If the calculator does not turn on If the HP 39gs 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. Pr ess and hold the ke y for 10 seconds.[...]

R-5 To install the main batteries a. Slide up the battery compartment cover as illustrated. b. Insert 4 new AAA (LR03) batteries into the main compartment. Make sure each batte ry is inserted in the indicated direction. To install the backup battery a. Press down the holder. Push the plate to the shown direction and lift it. b. Insert a new CR2032 [...]

R-6 Variables Home variables The home variables are: Category Available name Complex Z1 ... Z9 , Z0 Graphic G1 ... G9 , G0 Library Function Parametric Polar Sequence Solve Statistics User-named List L1 ... L9 , L0 Matrix M1 ... M9 , M0 Modes Ans Date HAngle HDigits HFormat Ierr Time Notepad User-named Program Editline User-named Real A...Z, θ HP 3[...]

R-7 Function aplet variables The function aplet variables are: Category Availa bl e name Plot Axes Connect Coord FastRes Grid Indep InvCross Labels Recenter Simult Tracing Xcross Ycross Xtick Ytick Xmin Xmax Ymin Ymax Xzoom Yxoom Plot-FCN Area Extremum Isect Root Slope Symbolic Angle F1 F2 F3 F4 F5 F6 F7 F8 F9 F0 Numer ic Digits Format NumCol NumFo[...]

R-8 Parametric aplet variables The parametric aplet variables are: Category Available name Plot Axes Connect Coord Grid Indep InvCross Labels Recenter Simult Tmin Tmax Tracing Tstep Xcross Ycross Xtick Ytick Xmin Xmax Ymin Ymax Xzoom Yzoom Symbolic Angle X1 Y1 X2 Y2 X3 Y3 X4 Y4 X5 Y5 X6 Y6 X7 Y7 X8 Y8 X9 Y9 X0 Y0 Numeric Digits Format NumCol NumFon[...]

R-9 Polar aplet variables The polar aplet variables are: Category Availa bl e names Plot Axes Connect Coord Grid Indep InvCross Labels Recenter Simult Umin Umax θ step Tracing Xcross Ycross Xtick Ytick Xmin Xmax Ymin Ymax Xzoom Yxoom Symbolic Angle R1 R2 R3 R4 R5 R6 R7 R8 R9 R0 Numer ic Digits Format NumCol NumFont NumIndep NumRow NumStart NumStep[...]

R-10 Sequence aplet variables The sequence aplet variables are: Category Available name Plot Axes Coord Grid Indep InvCross Labels Nmin Nmax Recenter SeqPlot Simult Tracing Xcross Ycross Xtick Ytick Xmin Xmax Ymin Ymax Xzoom Yzoom Symbolic Angle U1 U2 U3 U4 U5 U6 U7 U8 U9 U0 Numeric Digits Format NumCol NumFont NumIndep NumRow NumStart NumStep NumT[...]

R-11 Solve aplet variables The solve aplet variables are: Category Availa bl e name Plot Axes Connect Coord FastRes Grid Indep InvCross Labels Recenter Tracing Xcross Ycross Xtick Ytick Xmin Xmax Ymin Ymax Xzoom Yxoom Symbolic Angle E1 E2 E3 E4 E5 E6 E7 E8 E9 E0 Numer ic Digits Format NumCol NumRow Note NoteText Sketch Page PageNum HP 39gs English.[...]

R-12 Statistics aplet variables The statistics aplet variables are: Category Available name Plot Axes Connect Coord Grid Hmin Hmax Hwidth Indep InvCross Labels Recenter S1mark S2mark S3mark S4mark S5mark StatPlot Tracing Xcross Ycross Xtick Ytick Xmin Xmax Ymin Ymax Xzoom Yxoom Symbolic Angle S1fit S2fit S3fit S4fit S5fit Numeric C0,...C9 Digits Fo[...]

R-13 MATH menu categories Math functions The math functions are: Category Availa bl e name Calculus TAYLOR Complex ARG CONJ IM RE Constant e i MAXREAL MINREAL π Hyperb . ACOSH ASINH ATANH COSH SINH TANH ALOG EXP EXPM1 LNP1 List CONCAT Δ LIST MAKELIST π LIST POS REVERSE SIZE Σ LIST SORT Loop ITERATE RECURSE Σ ∂ ∫ HP 39gs English. book Page [...]

R-14 Matrix COLNORM COND CROSS DET DOT EIGENVAL EIGENVV IDENMAT INVERSE LQ LSQ LU MAKEMAT QR RANK ROWNORM RREF SCHUR SIZE SPECNORM SPECRAD SVD SVL TRACE TRN Polynom. POLYCOEF POLYEVAL POLYFORM POLYROOT Prob. COMB ! PERM RANDOM UTPC UTPF UTPN UTPT Real CEILING DEG → RAD FLOOR FNROOT FRAC HMS → → HMS INT MANT MAX MIN MOD % %CHANGE %TOTAL RAD ?[...]

R-15 Program constants The program constants are: Tests < ≤ = = ≠ > ≥ AND IFTE NOT OR XOR Trig ACOT ACSC ASEC COT CSC SEC Category Av ailable nam e (Continued) Category Availa bl e name Angle Degrees Grads Radians Format Standard Fixed Sci Eng Fraction SeqPlot Cobweb Stairstep S1...5fit Linear LogFit ExpFit Power Trigonometric QuadFit C[...]

R-16 Physical Constants The physical constants are: Category Available Nam e Chemist • Avogadro (A vogadr o’s Number , NA) • Boltz . (Boltmann, k) • mol. vo... (molar v olume, Vm) • univ gas (uni versal ga s, R) • std temp (standard temper at ure , St d T) • std pres (standar d pressur e, St d P) Phyics • StefBolt (Stef a n-Boltzman[...]

R-17 Program commands The program commands are: Category Command Aplet CHECK SELECT SETVIEWS UNCHECK Branch IF THEN ELSE END CASE IFERR RUN STOP Drawing ARC BOX ERASE FREEZE LINE PIXOFF PIXON TLINE Graphic DISPLAY → → DISPLAY → GROB GROBNOT GROBOR GROBXOR MAKEGROB PLOT → → PLOT REPLACE SUB ZEROGROB Loop FOR = TO STEP END DO UNTIL END WHIL[...]

R-18 Status messages Stat-Two DO2VSTATS SETDEPEND SETINDEP Category Command (Continued) Message Meaning Bad Argument Type Incorrect input for this operation. Bad Argument Value The value is out of range for this operation. Infinite Result Math exception, such as 1/0. Insufficient Memory You must recover some memory to continue operation. Delete one[...]

R-19 Invalid Syntax The function or command you entered does not include the proper arguments or order of arguments. The delimiters (parentheses, commas, periods, and semi-colons) must also be correct. Look up the function name in the index to find its proper syntax. Name Conflict The | (where) func tion attempted to assign a value to the variable [...]

HP 39gs English. book Page 20 Wednes day, December 7, 2005 11:24 PM[...]

W-1 L imited W arr ant y HP 39gs Graphing Calculator; Warranty period: 1 2 months 1. HP war rants to you , the end-user customer , that HP hard war e, access ories and supplies w ill be fr ee from defec ts in materials and w orkmanship after the date of pur chase , for the peri od spec ified abo ve. If HP recei ves notice of such defects during the[...]

W-2 6 . HP MAKE S NO O THER EXPRE S S W ARRANTY OR CONDI TION WHETHER WR ITTEN OR OR AL. T O THE EXTENT ALL O WED B Y L O CAL LA W , ANY IMPLIED W ARRANTY OR CONDIT ION OF MERCHANT ABILITY , S A TI SF A CT OR Y Q U ALITY , OR FITNE S S FOR A P ARTICULAR PURP OSE IS LIMITED T O THE DUR A TION OF THE EXP R E S S W ARR ANTY SET F ORTH ABO VE . Some co[...]

W-3 Service Europe Country : Telephone numbers Austr ia +4 3-1 -36 02 77120 3 Belgium +3 2 - 2 - 712 6 219 D e n m a r k + 45 - 8 -2 33284 4 Ea st e r n Eu ro p e countr ies +4 20 -5- 414 2 2 5 2 3 Fi n l a n d + 35 - 8964 0 0 0 9 F rance +3 3-1 - 4 99 39 006 German y +4 9-6 9- 9 5 30 7103 Gr eece +4 20 -5- 414 22 5 2 3 Holland +31- 2 -06 54 5 301 [...]

W-4 P lease logon to http://www .hp.com for the lat est ser vice and suppo r t infor mation .h L.Ame rica Country: T elephone nu mbers Ar gentina 0 -810 -5 5 5-5 5 20 Bra zil Sao P aulo 3 7 4 7 - 77 99; RO TC 0-800 -15 77 51 M e xi c o M x C i t y 5258 - 9922 ; RO TC 01-800- 4 7 2-6 68 4 Ven e z u e l a 0 8 0 0 - 47 46 - 8368 Chil e 800 - 3609 99 C[...]

W-5 Regulatory information Federal Communications Commission Notice This equipment has been tested and found to comply with the limits for a Class B digital device , pursuant to Part 15 of the FCC Rules. These limi ts are designed to provide reasonable protection agains t harmful interference in a residential installation. This equipment generates,[...]

W-6 Houston, Texas 77269-2000 Or, call 1-800-474-6836 For questions regarding this FCC declaration, co ntact: Hewlett-Packard Company P. O. Box 692000, Mai l Stop 510101 Houston, Texas 77269-2000 Or, call 1-281-514-3333 To identify this product, refer to the part, series, or model number found on the product. Canadian Notice Thi s Class B digital a[...]

W-7 Korean Notice Disposal of Waste Equipment by Users in Private Household in the European Union This symbol on the product or on its packaging indicates that this product must not be disposed of with your other household waste. Instead, it is your responsibility to dispose of your waste equipment by handing it over to a designated collection poin[...]

HP 39gs English. book Page 8 Wednesd ay, December 7, 2005 11:24 PM[...]

I-1 Index A absolute value 13-5 add 13-3 algebraic entry 1-19 alpha characters typing 1-6 alphabetical sorting 19-6 angle measure 1-10 in statistics 10-12 setting 1-11 animation 17-5 creating 17-5 annunciators 1-3 Ans (last answer) 1-24 antilogarithm 13-4 , 13-9 aplet attaching notes 19-4 clearing 19-3 copying 19-4 definition of R-1 deleting 19-6 F[...]

I-2 C calculus operatio ns 13-7 catalogs 1-30 chronological sorting 19-6 circle drawi ng 17-4 clearing aplet 19-3 characters 1-2 2 display 1-2 2 display history 1-25 edit line 1-22 lists 16-6 plot 2-7 cobweb graph 6-1 coeffic ients polynomial 13-11 columns changing position 18-25 combinations 13-12 commands aplet 18-14 branch 18-17 definition of R-[...]

I-3 definite integral 13-6 deleting aplet 19-6 lists 16-6 matrices 15-5 programs 18-9 statistical data 10-11 delimiters, programming 18-1 derivatives definition of 13-6 in Function aplet 13-22 in Home 13-21 determinant square matrix 15-11 differentiation 13-6 display 18- 21 adjusting contrast 1-2 annunciator line 1-2 capture 18-21 clearing 1-2 date[...]

I-4 font size change 3-8 , 17-5 forecasting 10-20 fraction number format 1-11 full-precision display 1-10 function analyze graph with FCN tools 3-4 definition 2-2 , R-1 entering 1-19 gamma 13-1 2 intersection point 3-5 math menu R-13 slope 3-5 syntax 13-2 tracing 2-8 Function aplet 2-20 , 3-1 function variables area 18-32 axes 18-32 connect 18-32 f[...]

I-5 EXPM1 13-10 LNP1 13-10 SINH 13-9 TANH 13-9 hypothesis alternative 11-2 inference tests 11-8 null 11-2 tests 11-2 I i 13-8 implied multiplication 1-20 importing graphics 17-6 notes 17-8 increasing display contrast 1-2 indefinite integral using symbolic variables 13-23 independent values adding to table 2-18 independent variable defined for Traci[...]

I-6 generate a series 16 -8 list function syntax 16-6 list variables 16-1 returning position of element in 16-8 revers ing order in 16-9 sending and receiving 16-6 sorting elements 16-9 storing elements 16-1 , 16 -4 , 16-5 storing one element 16-6 logarithm 13-4 logarithmic fit 10-13 functions 13-3 logical operators AND 13-19 equals (logical test) [...]

I-7 singular value decomposition 15-13 singular values 15-13 size 15-12 spectral norm 15-13 spectral radius 15-13 start Matrix Editor 18-24 storing elements 15-3 , 15-5 storing matrix elements 15-6 swap column 18-25 swap row 18-25 transposing 15-13 , 15-14 variables 15-1 matrix functions 15-10 COLNORM 15-10 COND 15-11 CROSS 15-11 DET 15-11 DOT 15-1[...]

I-8 recalcul ating 2-18 setup 2-16 , 2-19 O off automatic 1-1 power 1-1 on/cancel 1-1 One-Proportion Z-Interval 11-17 One-Sample T-Interval 11-18 One-Sample T-Test 11-12 One-Sample Z-Interval 11-15 One-Sample Z-Test 11-8 order of precedence 1-21 overlaying plots 2-15 , 4-3 P π 13-8 paired columns 10-11 parametric variables axes 18-32 connect 18-32[...]

I-9 polynomial coefficients 13-11 evaluation 13-11 form 13-11 roots 13-12 Taylor 13-7 polynomial functions POLYCOEF 13-11 POLYEVAL 13-11 POLYFO RM 13-11 POLYROOT 13-12 ports 19-5 position argument 18-21 power (x raised to y) 13-5 precede nce 1-22 predicted values statistical 10-20 print contents of display 18-2 6 name and contents of variable 18-26[...]

I-10 regression analysis 10-17 fit models 10-13 formula 10-12 user-defined fit 10-13 relative error statistical 10-18 resetting aplet 19-3 calculator R-3 memory R-3 result copying to edit line 1-22 reusing 1-2 2 root interact ive 3-10 n th 13-6 variable 18 -34 root-finding displaying 7-7 interact ive 3-9 operatio ns 3-10 variables 3-10 S S1mark-S5m[...]

I-11 aplets in chronological order 19 -6 elements in a list 16-9 spectral norm 15-13 spectral radius 15-13 square root 13-5 stack history printing 18-26 stairsteps graph 6-1 standard number format 1-10 statistics analysis 10- 1 analyzing plots 10-19 angle mode 10-12 calculate one-variable 18-30 calculate two-variable 18-30 data set variables 18-41 [...]

I-12 setting 18-28 time, converting 13-14 times sign 1-20 tmax 18-36 tmin 18-36 too few arguments R-19 tracing functions 2-8 more than one curve 2-8 not matching plot 2-8 plots 2-8 transmitting lists 16-6 matrices 15-4 programs 18-8 transposing a matrix 15-13 Triangle Solver aplet 9-1 trigonometr ic fit 10-13 functions 13-19 scaling 2-10 , 2-14 , 2[...]

I-13 Z Z-Interval 11-15 zoom 2-17 axes 2-12 box 2-9 center 2-9 examples of 2-11 factors 2-13 in 2-9 options 2-9 , 3-8 options within a table 2-17 out 2-9 redrawing table of numbers op- tions 2-17 square 2-10 un-zoom 2-11 within Numeric view 2-17 X-zoom 2-9 Y-zoom 2-10 HP 39gs English. book Page 13 Wednes day, December 7, 2005 11:24 PM[...]

HP 39gs English. book Page 14 Wednes day, December 7, 2005 11:24 PM[...]