Hp 39g Graphing Calculator Bedienungsanleitung

mHEWLETT^PACKARDHP 39G/40GALGEBRAIC GRAPHING CALCULATORUser’s GuideFor Students Studying Math ^ and Science256KB, Statistics and E-lessonsi

Reference informationRegulatory information...R-1USA...

Statistics aplet’s NUM view keysThe Statistics aplet’s Numeric view keys are:KeyMeaningiTgnCopies the highlighted item into the edit line.EHInserts a

ExampleYou are measuring the height of students in a classroom to find the mean height. The first five students have the following measurements 160cm,

Mi STfiTISTICS SVMEnUC/Hi iia—WR 1H2! 1H3: 1H4:1 ¥ENTER SAMPLEEHiiHHiiasBBaHHHficniiiifflni4. Press H3 to close the statistics window and press ISYMBI

Key Meaning (Continued)|SHIET|CL£Afi Resets default specifications for the data sets or clears the edit line (if it was active).Note: If 1 SHIFT |CL£A

8. Display the computed statistics.You can scroll down to the mean. The mean height is approximately 167.63cm.9. Setup a histogram plot for the data.H

Insert data Highlight the entry following the point of insertion. Press EH,then enter a number. It will write over the zero that was inserted.Sort da

Fit modelsEight fit models are available:To define your own fitFit modelMeaningLinear (Default.) Fits the data to a straight line, y = mx+h. Uses a le

Computed statisticsOne-variableStatisticDefinitionNSNumber of data points.TOTS Sum of data values (with their frequencies).MEANSMean value of data set

Two-variableStatisticDefinitionMEANXMean of-i- (independent) values.ZXSum of ,r-values.ZX2Sum of ,T^-values.MEANYMean of > - (dependent) values.ZYS

PlottingTo plot statistical dataHINT• histograms (UMOjO)• box-and-whisker plots (Hffiffl)• scatter plots of data (B!EBD).You can plot:Once you ha

PrefaceThe HP 39G/40G is a feature-rich graphing calculator. It is also a powerful mathematics learning tool. The HP 39G/40G is designed so that you c

Plot types HistogramBox and Whisker PlotScatter PlotOne-variable statistics. Thenumbers below the plot mean that the current bar (where the cursor is)

Fitting a curve to 2VAR dataIn the Plot view, press HD. This draws a curve to fit the checked two-variable data sei(s). See “To choose the fit” on pag

Setting up the plot (Plot setup view)Plot type (1VAR)The Plot Setup view (| shift \setup-plot) sets most of the same plotting parameters as it does fo

Trouble-shooting a plotIf you have problems plotting, check that you have thefollowing:• The correct or menu label on (Numericview).• The correct

Exploring the graphThe Plot view has menu keys for zooming, tracing, and coordinate display. There are also scaling options under I VIEWS |. These opt

Calculating predicted valuesFind predicted valuesHINTThe functions PREDX and PREDY estimate (predict) values for X or 7 given a hypothetical value for

Inference apletAbout the Inference apletExample dataThe Inference capabilities include calculation of confidence intervals and hypothesis tests based

Getting started with the inference apletThis example describes the Inference aplet’s options and functionality by stepping you through an example usin

If you choose one of the hypothesis tests, you can choose the alternative hypothesis to test against the null hypothesis. For each test, there are thr

NoticeThis manual and any examples contained herein are provided as-is and are subject to change without notice. Except to the extent prohibited by la

Enter data 4. Enter the sample statistics and population parameters thatdefine the chosen test or interval.¡SHIFT \SETUP-NUM sisVINF STftT NUMEBIC SE

Plot test results8. Display a graphic view of the test results.fPLOTiTcst Z=-.5HeZ£l5H |x=.4ei3eg .4320433 -eCfiiT. X1 -5 HHorizontal axes are presen

Enter dataHINT2. In the C1 column, enter the random numbers produced by the calculator.□ 529 fENTEFI□ 295 I ENTER I□ 952 [B^fERl□ 259 I enter!□ 925

Choose inference method andtype7. Choose an inference method.MitaaaSe/ectCONF INTERVAL»INF STM smenLic viewj KETHOII -. Itvpe; Z-INT: 1 wChooifl <i

11. Specify a 90% confidence interval in the C : field.S S S /7!Ovc to the C: field0.9 (enter!sx: .297844254603 6 .9SqHptg Hg-jfi__________Display Num

Hypothesis testsYou use hypothesis tests to test the validity of hypotheses that relate to the statistical parameters of one or two populations. The t

ResultsThe results are:ResultDescriptionTestZ Z-test statistic.ProbProbability associated with the Z-Test statistic.Critical ZBoundary values of Z ass

ResultsThe results are:ResultDescriptionTest ZZ-Test statisticProb Probability associated with theZ-Test statistic.Critical Z Boundary value of Z asso

Results The results are:ResultDescriptionTest PProportion of successes in the sample.Test ZZ-Test statistic.ProbProbability associated with the Z-Test

ResultsThe results are:Result DescriptionTest PI-P2Difference between the proportions of successes in the two samples.Test Z Z-Test statistic.ProbProb

1Getting startedOn/off, cancel operationsTo turn on To cancelTo turn offHOMEPress I ON I to turn on the calculator.When the calculator is on, the oper

Results The results are:Result DescriptionTest TT-Test statistic.ProbProbability associated with theT-Test statistic.Critical TBoundary value of T ass

Inputs The inputs are:—Field name Definitionx\Sample 1 mean.x2Sample 2 mean.SISample 1 standard deviation.S2Sample 2 standard deviation.nlSample 1 siz

Confidence intervalsThe confidence interval calculations that the HP 39G/40G can perform are based on the Normal Z-distribution or Student’s t-distrib

Two-Sample Z-!ntervalMenu nameZ^NT: 111- |i2This option uses the Normal Z-distribution to calculate a confidence interval for the difference between t

One-Proportion Z-IntervalMenu nameZ^INT: 1 PThis option uses the Normal Z-distribution to calculate a confidence interval for the proportion of succes

Two-Proportion Z-IntervalMenu nameZ-INT: PI -P2This option uses the Normal Z-distribution to calculate a confidence interval for the difference betwee

One-Sample T-IntervalMenu name T-INT; 1 \iThis option uses the Student’s t-distribution to calculate a confidence interval for |l, the true mean of a

Two-Sampie T-Interva!Menu nameT-INT: |il -jx2This option uses the Student’s t-distribution to calculate a confidence interval for the difference betwe

10Using mathematical functionsMath functionsThe HP 39G/40G contains many math functions. The functions are grouped in categories. For example, the Mat

The displayTo adjust the contrastSimultaneously press | ON | and 0 Q) increase (or decrease) the contrast.To clear the displayPress CANCEL to clear th

To select a function3.Function categoriesPress I MATH I to display the MATH menu. The categories appear in alphabetical order. Press 0 or to scroll th

Math functions by categorySyntaxFollowing are definitions for all categories of functions except List, Matrix, and Statistics, each of which appears i

Keyboard functionsGD'Q.0.[Z]SHIFT eQn]IshiftIIO’*i^,f^,rfANlThe most frequently used functions are available directly from the keyboard. Many of

SHIFT USW|shift|/icos[SHJFTjArA/VSHIFToArc sine: sin“ x. Output range is from -90° to 90°, -Tt/2 to Jt/2, or -100 to 100 grads. Inputs and outputs dep

SHIFT[¥WT\^ifPower (.V raised to y). Also accepts complex numbers, value''powerExample2^8 returns 2 55Fo 2Absolute value. For a complex numb

The symbols for differentiation and integration are available directly form the keyboard—|d/dx | and I respectively—as well as from the MATH menu.d D

Complex number functionsARCCONJIMREThese functions are for complex numbers only. You can also use complex numbers with all trigonometric and hyperboli

ConstantsThe HP 39G/40G has an internal numeric representation for these constants.eNatural logarithm base. Internally represented as 2.71828182846. e

ALOGEXPEXPM1LNP1Antilogarithm (exponential). This is more accurate than 10 due to limitations of the power function.KLOG(value)Natural exponential. Th

Loop functionsITERATERECURSEThe loop functions display a result after evaluating an expression a given number of times.Repeatedly for Mines evaluates

Annunciators. Annunciators are symbols that appear above the title bar and give you important status information.Annunciator DescriptionSIShift in eff

Polynomial functionsPOLYCOEFPOLYEVALPOLYFORMPOLYROOTPolynomials are products of constants {coefficients) and variables raised to powers {terms).Polyno

HI NT The results of POLYROOT will often not be easily seen in HOME due to the number of decimal places, especially if they are complex numbers. It is

HI NT The setting of Time will be different for each calculator, so using RANDSEED(Time) is guaranteed to produce a set of numbers which are as close

Real-number functionsCEILINGDEG-^RADFLOORFNROOTFRACSome real-number functions can also take complex arguments.Smallest integer greater than or equal t

HMS-^->HMSINTMANTMAXMINHours-minutes-seconds to decimal. Converts a number or expression in H.MMSSs format (time or angle that can include fraction

MOD%CHANGE%TOTALRAD-^DEGROUNDModulo. The remainder of value I lvalue!, value! MOD value!Example9 MOD 4 returns 1X percent of y, that is, xjl 0 0 *y.%

SIGNTRUNCATEXPONSign of value. If positive, the result is 1. If negative, -1. If zero, result is zero. For a complex number, this is the unit vector i

Symbolic functions= (equals)ISOLATELINEAR?QUADThe symbolic functions are used for symbolic manipulations of expressions. The variables can be formal o

QUOTE{where)Encloses an expression that should not be evaluated numerically.QUOTE (expression)ExamplesQUOTE (SIN (45) ) SM3f1 (X) stores the expressio

AND Compares value 1 and value!. Returns 1 if they are both nonzero, otherwise returns 0.valuel AND value!IFTE If expression is true, do the trueclau

Aplet control keysOn the calculator keyboard, the top row of keys are called menu keys. Their meanings depend on the context—that’s why their tops are

Symbolic calculationsThe HP 39G/40G has the ability to perform symbolic calculations, for example, symbolic integration and differentiation. You can p

Finding derivativesTo findderivatives in HOMEThe HP 39G/40G can perform symbolic differentiation on some functions. There are two ways of using the HP

To findderivatives in the Function apiet’s Symboiic viewTo find the derivative of the function in the Function apiet’s Symbolic view, you define two f

To find the indefinite integral using formal variablesFor example, to find the indefinite integral ofj3A'^-5t/x use:|(0,S1, 3X^^5,X)Enter the fun

The ‘extra’ constant of 6.4 results from the substitution of .r = 0 into (.r-2)'V5, and should be disregarded if an indefinite integral is requir

11Variables and memory managementIntroductionThe HP 39G/40G has approximately 232K of user memory. The calculator uses this memory to store variables,

storing and recalling variablesYou can store numbers or expressions from a previous input or result into variables.NumericPrecisionTo store a valueA n

To store the results of a calculationTo recall a valueIf the value you want to store is in the HOME view display history, for example the results of a

To use variables in calculationsYou can use variables in calculations. The calculator substitutes the variable’s value in the calculation:65 GEl I alp

5. Choose whether to place the variable name or the variable value on the command line.“ Press Wi1^h=t to indicate that you want the variable’s conte

Entry/Edit keysThe entry and edit keys are:Key Meaning|ONj {CANCEL) Cancels the cuiTent operation if the calculator is on by pressing | on |. Pressing

4. Enter data for L2.55 Ш 48 Иа 86 ШЗ90 ИЗ 77 иа2: 483: 86 4: 90 5: 775. Press I HOME i to access HOME.6. Open the variable menu and select LI. I

HomevariablesIt is not possible to store data of one type in a variable of another type. For example, you use the Matrix catalog to create matrices. Y

Aplet variablesAplet variables store values that are unique to a particular aplet. These include symbolic expressions and equations (see below), setti

Memory ManagerYou can use the Memory Manager to determine the amount of available memory on the calculator. You can also use Memory Manager to organiz

Matrices12IntroductionYou can perform matrix calculations in HOME and in programs. The matrix and each row of a matrix appear in brackets, and the ele

Creating and storing matricescftTfiLDGiMl IKl REftL MftTBIK OKEM2 REAL MftTRIKOKE 1M3 INI BEHL MSTRIKOKEM4 INI BEHL MNTBIK OKEM5 INI NEliL MfiTRIB OKE

To create a matrix in the matrix catalog' • ISHlFTlM/i'ffi« to open the Matrix catalog. TheMatrix catalog lists the 10 available matrix var

To transmit a You can send matrices between calculators just as you canmatrix send aplets, programs, lists, and notes.1. Align the HP 39G calculato

To display amatrixTo display one elementTo create a matrix in HOMEIn the Matrix catalog (j SHiFT|MAr/;/x), highlight the matrix name and press [MH,In

Shifted keystrokesThere are two shift keys that you use to access the operations and characters printed above the keys: | shift | and [alpha |.KeySHIF

Matrix arithmeticYou can use the arithmetic functions (+, x, / ) with matrix arguments. Division left-multiplies by the inverse of the divisor. You ca

To multiply twomatricesTo divide by a square matrixTo multiply the two matrices Ml and M2 that you created for the previous example, use the following

Solving systems of linear equationsExampleSolve the following linear system:2.r + 3y + 4z = 5 X + y - z = 7 4x-y + 2z = 11. Open the Matrix catalog a

Return to HOME and enter the calculation to left multiply the constants vector by the inverse of the coefficients matrix.rHOMEirALPHAlM2[shifTI.y &ap

About commandsMatrix commands are listed in the CMDS menu (|shift| CMOS), in the matrix category.See “Matrix commands” on page 15-23 for details of th

EIGENVALEIGENVVIDENMATINVERSELQLSQLUMAKEMATDisplays the eigenvalues in vector forni for maTrix. ElGEmAUrnatrix)Eigenvectors and Eigenvalues for a squa

QRRANKROWNORMRREFSCHURSIZESPECNORMSPECRADSVDSVLQR Factorization. Factors an my.n matrix into three matrices:I \[mxm orthogonal]],[[mxn uppertrapezoida

TRACETRNFinds the trace of a square matyix. The trace is equal to the sum of the diagonal elements. (It is also equal to the sum of the eigenvalues.)T

Reduced-Row Echelon FormThe following set of equations x~2y + 3z = 142x + y-z = ^3 4x-2y + 2z = 14can be written as the augmented matrixwhich can then

Lists13You can do list operations in HOME and in programs. A list consists of comma-separated real or complex numbers, expressions, or matrices, all e

Math keysHOME (I HOME I) is the place to do calculations.Keyboard keys. The most common operations are available from the keyboard, such as the arithm

3. Enter the values you want in the list, pressing | ENTER j after each one.Values can be real or complex numbers (or an expression). If you enter a

List 6dit keys when you press edit to create or change a list, the followingkeys are available to you:KeyMeaningCopies the highlighted list item into

Displaying and editing listsTo display a listTo display one elementIn the List catalog, highlight the list name and press HMi.• In HOME, enter the nam

To insert an element in a listI. Open the List catalog.2.3.SHIFT ¡LIST.»LIST cuthlogwitaagiL2 Si ze0^0KBL3 Si ze00KBL4 Si ze 0 0KBL5 Size0 0KB TPress

Deleting listsTo delete a listIn the List catalog, highlight the list name and press | DEL |. You are prompted if you want to delete the contents of t

List functionsFollowing are details of list functions. You can use them in HOME, as well as in programs.You can type in the name of the function, or y

CONCAICONCAT (list I, list!)ExampleCONCAT {{1,2,3}, (4)) returns (1,2,3,4 }.Concatenates two lists into a new list.aLISTCreates a new list composed of

nUSTPOSREVERSESIZEZLISTSORTCalculates the product of all elements in list. riLIST (//Ji)ExampleriLISTi {2,3,4} ) returns 24.Returns the position of an

Finding statistical values for list elementsTo find values such as the mean, median, maximum, and minimum values of the elements in a list, use the St

4. In the Symbolic view, define HI (for example) as Cl (sample) and 1 (frequency). Make sure that HI is checkmarked.SYMB5. Go to the Numeric viewto d

NOTICEThis manual and any examples contained herein are provided as-is and are subject to change without notice. Except to the extent prohibited by la

MenusTo search a menuTo cancel a menuA menu offers you a choice of items. Menus are displayed in one or two columns.The Q arrow in the display means m

14Notes and sketchesIntroductionThe HP 39G/40G has text and picture editors for entering notes and sketches.• Each aplet has its own independent Note

Note edit keysKeyMeaningSpace key for text entry.Displays next page of a multi-page note.Alpha-lock for letter entry.[SHIFT |EMLower-case Alpha-lock.B

Aplet sketch viewYou can attach pictures to an aplet in its Sketch view (|SHIFT].sa'£TC//). Your work is automatically saved with the aplet. Pres

To draw a box1. In Sketch view, press HIM Si and move the cursor to where you want any comer of the box to be.2. Press Itto This turns on box-drawin

To label parts of a sketchTo create a set of sketchesTo store into a graphics variablePress and type the text in the edit line. To lock the

To import a graphics variableYou can copy the contents of a graphics variable into the Sketch view of an aplet.1.3.4.Open the Sketch view of the aplet

4. Write your note.See “Note edit keys” on page 14-2 for more information on the entry and editing of notes.3. When you are finished,^***MVMDTE NDTEg

To import a noteYou can import a note from the Notepad into an aplet’s Note view, and vice-versa. Suppose you want to copy a note named “Assignments”

15ProgrammingIntroductionHINTThe Contents of a ProgramStructuredProgrammingExampleThis chapter describes how to program using the HP 39G/ 40G. In this

Input formsReset input form valuesAn input form shows several fields of information for you to examine and specify. After highlighting the field to ed

Program catalogThe Program catalog is where you create, edit, delete, send, receive, or run programs. This section describes how toopen the Program ca

Program catalog keysThe program catalog keys are:Key MeaningramOpens the highlighted program for editing.Prompts for a new program name, then opens an

Creating and editing programsCreate a newprogram1. Press |SHiFT|P«OGfiM to open the Program catalog.2. Press GHH.The HP 39G/40G prompts you for a na

Enter Until you become familiar with the HP 39G/40G commands,commends the easiest way to enter commands is to use the Commandsmenu from the Program

Editing keysThe editing keys are:KeyMeaningInserts the SH3 character at the editing point.Inserts space into text.Displays previous page of the progra

Using programsRun a program From HOME, type RUN program name, orFrom the Program catalog, highlight the program you want to run and press IH'UI.R

Working with programsCopy aprogramHINTYou can use the following procedure if you want to make a copy of your work before editing—or if you want to use

Delete all programsDelete the contents of a programYou can delete all programs at once.1. Tn the Program catalog, press |lpHiFTlci£A«.2. Press IYou

Aplet naming conventionTo assist users in keeping track of aplets and associated programs, use the following naming convention when setting up an aple

3. Create a program called EXP.ME2 with contents as shown. This program sets the numeric view options for the aplet, and runs the program thatEEKP.HES

Setting Options (Continued)NumberFormatThe number fonnat mode you set is the number format used in both HOME and the current aplet.Standard. Full-prec

SETVIEWS";18;Sets the first menu option to be "Auto scale". This is the fourth standard Function aplet view menu option and the 18 &quo

You only need to run this program once to configure your aplet’s VIEWS menu. Once the aplet’s VIEWS menu is configured, it remains that way until you

Programming commandsThis section describes the commands for programming with HP 39G/40G. You can enter these commands in your program by typing them o

• All the programs that are called from the VIEWS menu are transferred when the aplet is transferred, for example to another calculator or to a PC.•

Auto-run programsIf the Prompt item is “Start”, then the ProgramName program runs whenever you start the aplet. This is useful for setting up a progra

UNCHECKView numbersThe views are numbered as follows:0HOME 11 List Catalog1Plot12Matrix Catalog2Symbolic 13 Notepad Catalog3 Numeric 14 Programs Catal

IF... THEN... Executes the true-clause sequence of commands if the test-ELSE... END clause is true, or thefalse-clause sequence of commands if thete

RUNSTOPRuns the named program. If your program name contains special characters, such as a space, then you must enclose the file name in double quotes

FREEZELINEPIXOFFPIXONTUNEHalts the program, freezing the curi'ent display. Execution resumes when any key is pressed.Draws a line from (.i7, yl)

^GROBGROBNOTGROBORGROBXORMAKEGROBPLOT^Creates a graphic from expression, using/bnr_i/ze, and stores the resulting graphic in graphicname. Font sizes a

Setting a modeThis example demonstrates how to change the angle measure from the default mode, radians, to degrees for the current aplet. The procedur

REPLACESUBZEROGROBReplaces portion of graphic in graphicnamel with graphicnamel, starting at position . REPLACE also works for lists and matrices.REPL

FOR...TO...STEP ...ENDBREAKFOR name=start-expression TO end-expression [STEP increment];loop-clause ENDFOR A=1 TO 12 STEP 1;DISP 3;A;ENDNote that the

RANDMATREDIMREPLACESCALESCALEADDSUBSWAPCOLSWAPROWCreates random matrix with a specified number of rows and columns and stores the result in name (name

Print commandsPRDISPLAYPRHISTORYPRVARThese commands print to an HP infrared printer, for example the HP 82240B printer. Note: The HP 40G does not have

Example3 ►AiCHOOSE A; "COMIC STRIPS"; "DILBERT"; "CALVIN&HOBBES" "BLONDIE";^*CDMIC STRIPS*DILBERTCfiLVINS&

FREEZEGETKEYINPUTThis command prevents the display from being updated after the program runs. This allows you to view the graphics created by the prog

MSGBOXPROMPTWAITDisplays a message box containing textitem. A text item consists of any number of expressions and quoted strings of text. The expressi

Stat-One and Stat-Two commandsThe following commands are used for analysis of one- variable and two-variable statistical data.Stat-One commandsD01VSTA

storing and retrieving variables in programsThe HP 39G/40G has both Home variables and Aplet variables. Home variables are used for real numbers, comp

CoordFunctionParametricPolarSequenceSolveStatisticsExtremumFunctionTurns the coordinate-display mode in Plot view on or off.From Plot view, use the Me

Aplets are stored in the Aplet library. See “Aplet library” on page 1-15 for further information.You can modify configuration settings for the graphic

HwidthStatisticsindepAll ApletsInvCrossAll ApletsIsectFunctionLabelsAll ApletsSets the width of histogram bars.From Plot Setup in IVAR stats set a val

Nmln / Nmax Defines the minimum and maximum independent variableSequence values. Appears as the NRNG fields in the Plot Setup inputform.From Plot Se

SimultFunctionParametricPolarSequenceSlopeFunctionStatPlotStatisticsToggles between simultaneous and sequential graphing of all selected expressions.F

Tmin / Tmax Defines the minimum and maximum independent variableParametric values. Appears as the TRNG field in the Plot Setup inputforni.From Plot

XtickAll ApletsYtickAll ApletsXmin / XmaxAll ApletsDefines the distance between tick marks for the horizontal axis.From the Plot Setup input form, ent

XzoomAll ApletsYzoomAll ApletsSets the horizontal zoom factor.From Plot-ZOOM-Set Factors, enter the value for XZOOM. orIn a program, typen ► XZOOM whe

X1, Y1...X9,Y9 XO,YOParametricR1...R9, ROPolarU1...U9, UOSequenceE1...E9, EOSolveStatisticsCan contain any expression. Independent variable is T.Examp

Numeric-view variablesC1...C9, COStatisticsDigitsAll AplelsThe following aplet variables control the Numeric view. The value of the variable applies t

FormatAll ApletsDefines the number display format.From Solve’s Numeric Setup view, choose Standard, Fixed, Scientific, or Engineering in the Number Fo

NumRowAll Aplets except Statistics a.pletNumStartFmictionParametncPolarSequenceNumStepFmictionParametncPolarSequenceNumTypeFunctionParametncPolarSeq

Quad Explorer apletThe Quad Explorer aplet is used to investigate the behaviour of j = a(x + h) + V as the values of a, h and v change, both by manipu

StatModeStatisticsToggles between 1-variable and 2-variable statistics in the Statistics aplet. Does not appear in the Plot Setup input form. Correspo

16Extending apletsAplets are the application environments where you exploredifferent classes of mathematical operations.You can extend the capability

Aplet KeysKeyMeaningSaves the highlighted aplet with a name.Resets the default values and settings in the highlighted aplet. This erases any stored da

3. Decide whether you want the aplet to operate in Degrees, Radians, or Grads.SHIFT MODESSelect DegreesHaANSINUMDECIIRadians GradsCHDaSE ANSLE MEASUAE

4. Solve for the missing value.The length of the ladder is approximately 8.72 metresWTfilfiNGLES NUMERIC V1EW|3558.7172339781EHTEF; ' flLUE Of,

Sending and receiving apletsA convenient way to distribute or share problems in class and to turn in homework is to transmit (copy) aplets directly fr

Sorting items in the aplet library menu listOnce you have entered information into an aplet, you have defined a new version of an aplet. The informati

Reference informationRegulatory informationThis section contains information that shows how the HP 39G/40G graphing calculator complies with regulatio

LED safetyWarrantyThe infrared port located on the top of the calculator is classified as a Class 1 LED (light emitting diode) device according to rnt

4.5.3. HP does not warrant that the operation of HP products will be uninterrupted or error free. If HP is unable, within a reasonable time, to repai

Trig Explorer The Trig Explorer aplet is used to investigate the behaviouraplet of the graph of >> = as,m(bx + c) + d as the values of a, h, c

CASFOR CONSUMER TRANSACTIONS IN AUSTRALIA AND NEW ZEALAND: THE WARRANTY TERMS CONTAINED IN THIS STATEMENT, EXCEPT TO THE EXTENT LAWFULLY PERMITTED, DO

To erase all memory and reset defaultsIf the calculator does not respond to the above resetting procedures, you might need to restart it by erasing al

GlossaryaplelcommandexpressionfunctionHOMELibrarylistmatrixA small application, limited to one topic. The built-in aplet types are Function, Parametri

menu A choice of options given in the display.It can appear as a list or as a set of menu- key labels across the bottom of the display.menu keys The

CAUTIONmessage that appears when the calculator is on:Warning: Low Bat.The HP 39G/40G uses three AAA batteries. Be sure all three are of the same bran

CategoryAvailable name (Continued)GraphicG1...G9, GOLibraryFunctionParametricPolarSequenceSolveStatisticsUser-namedListL1...L9, LOMatrixM1...M9, MOMod

CategoryAvailable name (Continued)Plot-FCN Area RootExtremumIsectSlopeSymbolicAngle F6FIF7F2 F8F3 F9F4 FOF5NumericDigitsNumRowFormat NumStartNumCol Nu

CategoryAvailable name (Continued)SymbolicAngle Y5XIX5Y1Y6X2 X7Y2 Y7X3X8Y3Y8X4X9Y4Y9X5XOYONumeric DigitsNumRowFormatNumStartNumColNumStepNumFontNurnTy

CategoryAvailable names (Continued)NumericDigits NumRowFormat NumStartNumCol NumStepNumFontNuitiTypeNumlndepNumZoomNote NoteTextSketchPagePageNumSeque

Solve aplet variablesThe solve aplet variables are:Category Available namePlot AxesXcrossConnectYcrossCoord XtickFastResYtickGrid XminIndep XmaxInvCro

Aplet libraryTo open an apletAplets are stored in the Aplet library.I APLET I to display the Aplet library menu. Select the aplet and press or | ente

Statistics aplet variablesThe statistics aplet variables are;Category Available namePlotAxes S4markConnect SBmarkCoordStatPlotGridTracingHmin XcrossHm

Menu maps of the MATH menuMath functionsThe math functions are:Category Available nameCalculusaJTAYLORComplexARGIMCONJREConstanteMAXREALiMINREALnHyper

CategoryAvailable name (Continued)Polynom.POLYCOEFPOLYFORMPOLYEVALPOLYROOTProb.COMBUTPC1UTPFPERMUTPNRANDOMUTPTRealCEILINGMINDEG-^RADMODFLOORo.FNROOT%C

Program constantsThe program constants are:CategoryAvailable nameAngle DegreesGradsRadiansFormat StandardFixedSciEngFractionSeqPlotCobwebStairstepS1..

Program commandsThe program commands are:CategoryCommandApletCHECKSELECTSETVIEWSUNCHECKBranchIFCASETHENIFERRELSE RUNENDSTOPDrawing ARCLINEBOXPIXOFFERA

Selected status messagesThe status messages are;Message MeaningBad Argument TypeIncorrect input for this operation.Bad Argument ValueThe value is out

Message Meaning (Continued)(OFF SCREEN) Function value, root, extremum, or intersection is not visible in the current screen.Receive ErrorProblem with

Indexabsolute value 10-6 add 10-4algebraic entry 1-18 alpha characters typing 1-6alphabetical sorting 16-6 angle measure 1 -9 in statistics 8-10 setti

ccalculusoperations 10-8 catalogs 1-28 chronological sorting 16-6 circle drawing 14-4 clearingaplet 16-4 characters 1-21 display 1-21 display history

deletingaplet 16-6 lists 13-6 matrices 12-4 programs 15-9 statistical data 8-10 delimiters, programming 15-1 derivativesdefinition of 10-7 in Function

Plot-TableviewThe VIEWS menu contains the Plot-Table view.Plot-DetailviewOverlay Plot viewNote viewSketch viewVIEWSSelect Plot-Table H3Splits the scre

fixed number fonnat 1-10 font sizechange 3-8, 14-5 forecasting 8-21 fraction number format 1-10 full-precision display 1-10 functionanalyse graph with

hyperbolic trigonometry ACOSH 10-9 ALOG 10-10 ASINH 10-9 ATANH 10-9 COSH 10-9 EXP 10-10 EXPMl 10-10 LNPl 10-10 SINH 10-9 TANH 10-9 hypothesisalternati

listarithmetic with 13-7 calculate sequence of elements 13-8 calculating product of 13-9 composed from differences 13-8 concatenating 13-8 counting el

multiplying and dividing by scalar 12-6multiplying by vector 12-7 multiplying row by value and adding result to second row 15-24 multiplying row numbe

in Solve aplei 7-5 scientific 1-10 Standard 1-10 numeric precision 11 -9 Numeric viewadding X values 2-19 automatic 2-17 build your own table 2-19 dis

polar variables Axes 15-30 Connect 15-30 Grid 15-31 in menu map R-11 Indep 15-32 Labels 15-33 Recenter 15-33 Across 15-36 polynomialcoefficients 10-12

TRUNCATE 10-18 XPON 10-18recalculation for table 2-19 receive error R-20 receiving aplet 16-5 lists 13-6 matrices 12-4 programs 15-8 redrawingtable of

sketchescreating 14-5creating a blank graphic 15-22 creating a set of 14-5 erasing a line 15-20 labeling 14-5 opening view 14-3 sets 14-5storing in gr

displaying definitions 3-8 evaluating variables in view 2-3 setup view for statistics 8-10 symbolic functions I (where) 10-20 equals 10-19 ISOLATE 10-

valuego directly to 3-7 recall 11 -3 storing 11 -2 variables aplet 11-1 categories 11-7 definition 11-1, 11-7, R-7 in equations 7-10 in Symbolic view

Displays pictures to supplement an aplet.See “Notes and sketches” on page 14-1 for further information.GIVEN;A n=l(i AND D;=1E FIND THE VALUE DF A, D,

Service and SupportVisit the Hewlett-Packard calculators Service and Support web site at:http://www.hp.com/calculatorsor call one of the Following num

HP39GAlgebraic Graphing CalculatorFor Students Studying Math and SciencemHEWLETT«PACKARDThe easy-to-use calculator for math studentsThe HP39G is a pow

HP39G/40GGRAPHING CALCULATORUSER’S GUIDEVersion 1.1o o a a □@ Qig ¡55[hOMe\ [aPL^ ['v7fwTjLVARS j fiATNG3 iSnj— F ^Q Cz3 B [^raciDPROGM '

Mathematical calculationsThe most commonly used math operations are available from the keyboard. Access to the rest of the math functions is via the M

Scientific notation (powers of 10)Example4 -7A number like 5x10 or 3.21 x 10 is written in scientific notation, that is, in terms of power

ParenthesesYou need to use parentheses to enclose arguments for functions, such as SIN(45). You can omit the final parenthesis at the end of an edit l

ClearingnumbersI DEL I clears the character under the cursor. When thecursor is positioned after the last character, | del | deletes the character to

ExampleSee how | shift [/j/vs retrieves and reuses the last result (50), and I ENTER I updates ANS (from 50 to 75 to 100).50|enter| [T| 25 I ENTER 11

Storing a value in a variableYou can save an answer in a variable and use the variable in later calculations. There are 27 variables available for sto

Clearing the display historyIt’s a good habit to clear the display history (| shift |CL£.4R) whenever you have finished working in HOME. It saves calc

SettingfractionprecisionThe fraction precision setting detennines the precision in which the HP 39G/40G converts a decimal value to a fraction. The gr

FractioncalculationsConverting decimals to fractionsWhen entering fractions:• You use the (T] key to separate the numerator part and the denominator

Converting a number to a fractionWhen converting a number to a fraction, keep the following points in mind;• When converting a recurring decimal to a

Storing complex numbersThere are 10 variables available for storing complex numbers: ZO to Z9. To store a complex number in a variable:• Enter the co

Differences between the HP 38G and theHP 39G/40GCASMemorymanagerPlot Goto functionStatistics Pred functionInference apletTrig Explorer and Quadratic E

Aplets and their viewsAplet viewsThis section examines the options and functionality of the three main views for the Function, Polar, Parametric, and

F2iX>=F3iK)=F4iK>=F5<X)= w jiiUBWiia——»wiiiiaiijtfii«VKT>=X2iT>=Y2iT>=x3t:T)=aairniramaigjyjMSlIlMlFor a Function definition, enter

Evaluating expressionsIn apletsIn the Symbolic view, a variable is a symbol only, and does not represent one specific value. To evaluate a function in

SYMB view . The following table details the menu keys that you use to work keys with the Symbolic view.KeyMeaningHayCopies the highlighte

About the Plot viewAfter entering and selecting (check marking) the expression in the Symbolic view, press |plot|. To adjust the appearance of the gra

Field Meaning (Continued)NRNG Sequence aplet: Specifies the index (N) values for the graph.TSTEP For Parametric plots: the increment for the independe

Exploring the graphPlot view gives you a selection of keys and menu keys to explore a graph further. The options vary from aplet to aplet.PLOT view T

ContentsPrefaceManual conventions...P-1Notice...

Trace a graphYou can trace along a function using the 0 or 0 key which moves the cursor along the graph. The display also shows the current coordinate

Option Meaning (Continued)In Divides horizontal and vertical scales by the X-factor and Y-factor. For instance, if zoom factors are 4, then zooming in

ZOOM examplesOption Meaning (Continued)Integer Rescales horizontal axis only, making each pixel =1 unit. (Not available in Sequence or Statistics aple

X-Zoom In:HÆflfllX-Zoom In 03 Now un-zoom.X-Zoom Out;HMMBI X-Zoom Out 0 Now un-zoom.Y-Zoom In:HMIIY-Zoom In 03Now un-zoom.Y-Zoom Out:I Y-Zoom Out 02Bï

To box zoom The Box Zoom option lets you draw a box around the area youwant to zoom in on by selecting the endpoints of one diagonal of the zoom rect

Other views for scaling and splitting the graphThe preset viewing options menu (| VIEWS |) contains options for drawing the plot using certain pre-def

Split the screenThe Plot-Detail view can give you two simultaneous views of the plot.1. Press I VIEWS I Select Plot-Detail and press HI. The graph i

Overlay plots if you want to plot over an existing plot without erasing thatplot, then use |views] Overlay Plot instead of |plot]. Note that tracing

Setting up the table (numeric view setup)Press |SHIFT|/Vi/M to defineany of the table settings. Use the Numeric Setup input form to configure the tabl

Exploring the table of numbersNUM view menu keysThe following table details the menu keys that you use to work with the table of numbers.Zoom within a

8Function apletAbout the Function aplet...3-1Getting started with the Function aple

The display on the right is a Zoom In of the display on the left. The ZOOM factor is 4.XFI.Ci?S:iBB.15.175.iЦ?Ц?№iv\.IHH.17H.mBH3B110819.98334166460E-

Clear data Press iSHIFTlCLEAR,to erase the data from a table.‘Build Your Own” menu keysKey MeaningCTHiPuts the highlighted independent value (X, T, 6,

Example: plotting a circlePlot the circle, x^+ = 9. First rearrange it to read,y = +./9-/ .To plot both the positive and negative >’ values, you n

Function apietAbout the Function apietThe Function apiet enables you to explore up to 10 real-valued, rectangular functions y in terms of x. For examp

Define the expressions2. There are 10 function definition fields on the Function aplet’s Symbolic view screen. They are labeled F1(X) to F0(X). Highli

Change the scale6, You can change the scale to see more or less of your graphs. In this example, choose Auto Scale. (See “VIEWS menu options” on page

To find the greater of the two roots of the quadratic function10. Find the greater of the two roots of the quadratic function.Note: Move the cursor to

To find the slope of the quadratic functionTo find the signed area of the two functions13. Find the slope of the quadratic function at the intersectio

18. Display the numerical value of the integral.eraNote: See ‘'Shading area” on page 3-10 for another method of calculating area.: :>•To find

22. Match the table settings to the pixel columns in the graph view.igitiiii EHFUNCTION NUMEfilC SETUP? NUMSTURT;NUMSTEP: . 1NUHTTPE: Rutomatic NUMSD

9 Inference apletAbout the Inference aplet... 9-1Getting started with the Inferen

To change font size27. Display table numbers in large fontlawX FI F29.8759.99.925-8.875-8.9-8.925-8.95163.768164.41165.056165.7039.95HiTiTülB iianapii

Access FCN variablesThe FCN variables are contained in the VARS menu. To access FCN variables in HOME:I VARS I EBTO Select V\ot FCN 00 or to choose a

FunctionDescription (Continued)Signed areaIntersectionSelect Signed area to find the numeric integral. (If there are two or more expressions checkrnar

Plotting a piecewise defined function exampleSuppose you wanted to graph the following piecewise defined function.,/lv).V + 2 — 12-1 <x< 1 ;.

Parametric apletAbout the Parametric apletThe Parametric aplet allows you to explore parametric equations. These are equations in which both x and y a

Set angle measure3. Set the angle measure to degrees.SHIFT MODESSelect Degrees IIHQME MODES §ANSIHUMDECIIDegreesRadiansGradsCHOOSE ANGLE MEASURElEGSlB

Overlay plot8. Plot a triangle graph over the existing circle graph.SHIFT PLOTa1201PflfilHMETFilC PLOT SETUPS® TRNG: 0 360TSTEP; 120VRNS: -3. 1 3.2E

Polar apietGetting started with the polar apietOpen the Polar apiet1. Open the Polar apiet.[apiet I Select PolarLike the Function apiet, the Polar api

11 Variables and memory managementIntroduction...11-1Storing and

Explore thegraph5. Display the Plot view menu key labels.The Plot view options available are the same as those found in the Function aplet. See “Explo

Sequence apletAbout the Sequence apletThe Sequence aplet allows you to explore sequences. You can define a sequence named, for example, Ul:• in terms

Define the expressionDefine the Fibonacci sequence, in which each term (after the first two) is the sum of the preceding two terms:t/,\,U,= \ ,U„ for«

Plot the sequence4. Plot the Fibonacci sequence.rpuSTlN=1ui(N)o jiaaa5. In Plot Setup, set the SEQPLOT option to Cobweb.{SH^SETUP-PLOTi Select Cobweb

Solve apletAbout the Solve apletThe Solve aplet solves an equation or an expression for its unknown variable. You define an equation or expression in

Getting started with the Solve apletSuppose you want to find the acceleration needed to increase the speed of a car from 16.67 m/sec (60 kph) to 27.78

Solve the unknown variable5. Solve for the unknown variable (A).0 0 mms^^SBVIE NUMEBIC VIEWS27.7816.672.4691975100EHTER VftlUE DR PRESS SDLME_______Pl

7. Trace along the graph representing the left member of the equation until the cursor nears the intersection.(VI —20 timesA:S.S EliTatniNote the valu

Use an initial guessNumberformatYou can usually obtain a faster and more accurate solution if you supply an estimated value for the unknown variable b

15 ProgrammingIntroduction...15-1Program catalog...

Interpreting resultsAfter Solve has returned a solution, press D3B in the Numeric view for more information. You will see one of the following three m

If Solve could not find a solution, you will see one of the following two messages.Message ConditionBad Guess(es) The initial guess lies outside the d

Plotting to find guessesThe main reason for plotting in the Solve aplet is to help you find initial guesses and solutions for those equations that hav

3. Use the Plot view to find an initial guess for T. First set appropriate X and Y ranges in the Plot Setup. Since we have an equation,X = V xT + Ax

8, Use this equation to solve for another variable, such as velocity. How fast must a body’s initial velocity be in order for it to travel 50 m withi

8Statistics apietAbout the Statistics apietThe Statistics apiet can store up to ten separate data sets at one time. It can do one-variable or two-vari

Open the Statistics apietOpen the Statistics apiet and clear existing data by pressingAPLETSelect StatisticsThe Statistics apiet starts in the Numeric

Choose fit and data columns4. Select a fit in the Symbolic setup view,ISHIFfl SETUP^SYMBSelect LineariSUisTfiTisTics svMeoLic setup® fiMSLE MEESUEE: R

Plot the graph 9. Plot the graph.PLOTDraw theregressioncurve10. Draw the regression curve (a curve to fit the data points)This draws the regression l

Predict values13. To find the predicted sales figure if advertising were to go up to 6 minutes:HOMEfMATH I S {to highlight Stat-Two)0 0 Cto highlight