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HP 40G manual Explore the graph Display the numbers, 180@

Models: 40G

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Page 78

Explore the graph

Display the numbers

5.0(18aDisplay the Plot view menu key labels.

The Plot view options available are the same as those found in the Function aplet. See “Exploring the graph”

on page 2-7 for further information.

6.Display the table of values θ for and R1.

>180@

The Numeric view options available are the same as those found in the Function aplet. See “Exploring the table of

numbers” on page 2-18 for further information.

5-2	Polar aplet

Image 78

HP 40G manual Explore the graph Display the numbers, 180@

Contents

USER’S Guide Page Contents Parametric aplet Inference aplet Importing Sample Statistics from the Statistics apletVariables and memory management Programming Index @, &26@, +20@, etc PrefaceManual conventions +,7@CLEAR, 6+,7@MODES, 6+,7@ACOS, etcPreface On/off, cancel operations Getting startedHome To adjust the contrast To clear the display DisplayParts of the display Keyboard Menu keysAnnunciator Description Aplet control keys Key Meaning175@ +,7@$/3+$@ 75@Key Description Shifted keystrokesHelpwith +,7@$/3+$@Program commands Inactive keys Math keysTo cancel a menu MenusTo search a menu Setting Options Mode settingsReset input form values Input formsSetting Options Setting a mode Aplets E-lessonsPress+20@ to return to Home Aplet Use this aplet to explore Name Quad Explorer aplet N TTrig Explorer aplet *,*A, keysAplet views Symbolic view Plot view Numeric viewAplet library Aplets are stored in the Aplet libraryViews menu contains the Plot-Table view Configuration Aplet view configurationPlot Setup Numeric Setup Symbolic To change viewsLong results Negative numbers Mathematical calculationsEntering expressions ExampleScientific notation powers Explicit and implicit multiplication@4 6+,7@EEX @13@ @@6 6+,7@EEX 23@ j@ 3 6+,7@EEX 175@ +,7@√ 85@9 Entering Calculates@ 45 @6+,7@π +,7@√ @85 @9 @Clearing numbers Using previous results 175@ updates ANS from 50 to 75 to 50175@ @25 175@175@Accessing the display history $/3+$@ a 175@Key Function See Setting fraction precision below for more information Using fractionsSetting Fraction mode Clearing the display historySetting fraction precision @@@2@3 Fraction calculations Converting decimals to fractionsReturn to Home and enter the calculation Evaluate the calculationComplex results To enter complex numbers Complex numbersConverting a number to a fraction + iyCatalog/Editor Contents Catalogs and editorsStoring complex numbers Statistics Pred function Differences between the HP 38G and the HP 39G/40GMemory manager Plot Goto function Trig Explorer and Quadratic Explorer apletsPage Aplets and their views About the Symbolic viewDefining an expression Symbolic view Aplet viewsAplets and their views Evaluating expressions ApletsHome $7+@ Symb view keys$56@ +,7@CLEARAbout the Plot view Setting up the plot Plot view setupPlot view settings 175@ orReset plot settings Exploring the graph Plot view keys+,7@*A To jump directly to a value To turn trace on/ off Trace a graphZoom within a graph Zoom optionsDivides vertical scale only, using Divides horizontal scale only, usingMultiplies horizontal scale, using Multiplies vertical scale only, usingPress *k, to move to the bottom of the Zoom list 018Zoom=220Un-zoom =220Zoom Out=220Y-Zoom =220X-Zoom=220X-Zoom Out =220Y-Zoom OutTo box zoom To set zoom factors Other views for scaling and splitting the graph OptionsMenu key copies the right plot to the left Decimal scaling About the numeric viewOverlay plots Integer scaling Trigonometric scalingSetting up the table numeric view setup Numeric view settingsReset numeric settings Exploring the table of numbers NUM view menu keysZoom within a table Column, then enter the value to jump to Building your own table of numbersArrow keys to place the cursor in the independent variable 175@, the values for the dependent variables areBuild Your Own menu keys Clear dataExample plotting a circle $3/7@ Select+,7@√@9 Getting started with the Function aplet Function apletAbout the Function aplet Open the Function aplet@75@175@ Define the expressionsPlot the functions Plot the functionsTrace the linear function Change the scale Trace a graphWith FCN functions TimesFind the greater of the two roots of the quadratic function SelectRootRoot value is displayed at the bottom of the screen Choose the end value for 2Select.SlopeMove the cursor to x = 1 by pressing the *A,or @.2To find the extremum of the quadratic Display the numeric view Set up the tableDisplay the numeric setup Display the numeric viewDisplay a table of numeric values Match the table settings to the pixel columns in the graphExplore the table Move to X =Function aplet interactive analysis Area Extremum Isect Root SlopeAccess FCN variables FCN functions Function DescriptionSymbolic view. Displays Cursor. You need to have at leastTwo selected expressions Plotting a piecewise defined function example = $3/ @ Select Page Getting started with the Parametric aplet Parametric apletAbout the Parametric aplet Open the Parametric aplet Define the expressionsSet angle measure Set up the plot Plot the expression +,7@PLOT360 +,7@ Plot Overlay plot Display the numbersPlot a triangle graph over the existing circle graph 120Page Open the Polar aplet Polar apletGetting started with the polar aplet +,7@CLEAR 46+,7@π 2.aExplore the graph Display the numbers About the Sequence aplet Sequence aplet starts in the Symbolic viewSequence aplet Getting started with the Sequence apletDefine the expression Keys to assist in the entry of equationsPlot the Fibonacci sequence Plot Setup, set the Seqplot option to CobwebPlot the sequence Display the table Select CobwebPage Solve aplet About the Solve apletGetting started with the Solve aplet Open the Solve apletDefine the equation Define known variables Solve the unknown variable Plot the equation Solve for the unknown variable a@ Select Auto Solve aplet’s NUM view keys ≈20 timesUse an initial guess Number formatInterpreting results Message ConditionRoot- Finder at work $/3+$@X Plotting to find guessesAt2 x = v0t + 180@ 30 175@ 2175@ *e,4175@ *e,*e, to highlight TPlot the graph To move cursor to the intersectionInitial guess Using variables in equationsHome variables 3175@*k,*k,*kGetting started with the Statistics aplet Statistics apletAbout the Statistics aplet 1400 920 1100 2265 2890 2200To move to the next column Open the Statistics aplet Enter data175@1 175@ 175@5 175@ 175@4 175@ 1400 175@920 175@ 1100 175@2265 175@ 2890 175@2200 175@Choose fit and data columns Explore statistics Setup plot Select a fit in the Symbolic setup viewSelect2. Linear Display the equation for the best linear fit To move to the FIT1 +2fieldTo highlight Entering and editing statistical data$7+@ S to highlight 6175@Statistics aplet’s NUM view keys +,7@ FXUVRU160 175@ 165 175@ 170 175@ 175 175@ 180 175@ $56@ Sets will need to be selected again Before re-useHeight cm Frequency Angle Setting Save dataDelete data To choose the fit Defining a regression model 2VARInsert data Sort data values Select the Sort Order option. You can choose either= m lnx + b Fit models To define your own fitFit model Meaning = ax3+bx2+cx+d. Needs at leastComputed statistics One-variableStatistic Definition Two-variable Columns for a linear fit onlyPlotting To plot statistical dataYou can plot Plot types Histogram Box and Whisker Plot Scatter PlotCorrelation Relative ErrorFitting a curve to0182VAR data CoefficientSetting up the plot Plot setup view Plotting mark 2VAR Connected points 2VARTrouble-shooting a plot Statistics aplet’s Plot view keys Calculating predicted values Find predicted valuesPage About the Inference aplet Default the input form contains example data. This exampleInference aplet Example dataInference aplet’s Symb view keys Getting started with the Inference apletOpen the Inference aplet Hypothesis Tests Confidence IntervalsDefine the inferential method ∝.a∝Field name Definition Plot test results Open Statistics aplet. Note Reset current settingsImporting Sample Statistics from the Statistics aplet Open the Statistics apletCalculate statistics Open Inference aplet @529 175@ @295 175@ @952 175@ @259 175@ @925 175@ @592 175@Choose inference method and type Import the data2one.a E, to move to Field Display Numeric view Display Plot viewSpecify a 90% confidence interval in the C field Display the confidence interval in the Plot viewMenu name Hypothesis testsOne-Sample Z-Test InputsTwo-Sample Z-Test ResultsResult Description One-Proportion Z-Test Two-Proportion Z-Test Successes in the two populations is equalH0 π1 = π2 Selected hypothesis against the null hypothesis. The null One-Sample T-TestTest 1 ∝ Hypothesis is that the sample mean has some assumed valueTwo-Sample T-Test Sample 1 standard deviation Sample 2 standard deviationPerform are based on the Normal Z-distribution or Student’s Confidence intervalsConfidence interval calculations that the HP 39G/40G can Confidence levelConfidence interval for the difference between the means Two populations, ∝1 ∝2, when the population standardTwo-Sample Z-Interval Deviations, σ1 and σ2, are knownOne-Proportion Z-Interval Sample success countSample 1 success count Two-Proportion Z-IntervalSuccesses in two populations Sample 2 success countOne-Sample T-Interval Two-Sample T-Interval Page Using mathematical functions Math functionsMath menu To select a function Function categoriesCalculus Loop Stat-Two Complex Matrices Math functions by category SyntaxFunctions common to keyboard and menus Keyboard functions +,7@ATAN +,7@ASIN+,7@ACOS +,7@√ABSvalue Valuepower+,7@ABS +,7@ nVariableexpression Calculus functionsTaylor Lower,upper,expression,variableComplex number functions ARGConj Constants Hyperbolic trigonometryEXP List functionsAlog EXPM1Iterate Loop functionsMatrix functions RecursePolyeval Polynomial functionsPolycoef PolyformPerm Probability functionsComb RandomUtpn UtpcUtpf UtptReal-number functions INT HMS→→HMS MantTotal MODChange RAD→DEGTruncate Statistics-TwoSign XponLINEAR? Symbolic functionsIsolate QuadQuote Trigonometry functions Using formal variables Symbolic calculationsSymbolic calculations in the Function aplet HomeGG@$/3+$@S1 Finding derivativesTo find derivatives Evaluate the functionTo find derivatives in the Function aplet’s Symbolic view GG@@$/3+$@Show the result format To find the indefinite integral using formal variables+,7@GG@0 @ $/3+$@ S1 @ 3 @ Thus, substituting X for S1, it can be seen that10-26 Variables and memory management IntroductionStoring and recalling variables Numeric PrecisionTo store a value To store the results of a calculation Calculations Vars menuTo use variables 65 @$/3+$@A 175@Names or values of variables into programs +,7@LIST$/3+$@L3175@ 2contents,.a is copied to the command line$56@ *e,*e,*e,*A List names directly from the keyboardCategory Available names To access an aplet variable Aplet variablesTo copy the value of the variable into the edit line Is displayed Memory ManagerStart the Memory Manager. a list of variable categories +,7@MEMORYPage Matrices MatricesVectors Matrix Variables+ 7@CLEAR Creating and storing matricesMatrix Catalog keys +,7@*e, orTo create a matrix in the matrix catalog Select the type of matrix to createClears all elements from the matrix Working with matricesTo transmit a matrix +,7@*k, *e728 672? 175@ 2175@*e 175@ 4175@ Matrix arithmeticTo multiply and divide by a scalar 175@ 8 175@$/3+$@M1@ $/3+$@M2 175@ $/3+$@M1 j@$/3+$@M2 175@175@7 175@ Solving systems of linear equations+,7@MATRIX1 175@ +,7@MATRIXMatrix functions and commands About functionsArgument conventions Idenmat EigenvalEigenvv InverseRref RankRownorm SchurTRN ExamplesTrace Identity Matrix Transposing a MatrixReduced-Row Echelon Form Create a list in the List Catalog ListsCreating lists Open the List catalogList catalog keys Create a list List edit keysTo display one element To edit a list Displaying and editing listsTo display a list @ /@16a*e To insert an element in a list To store one elementTo delete a list Deleting listsTransmitting lists To delete all listsList functions $7+@L *A,Select $/3+$@L 5175@ $7+@L *A$/3+$@L5175@ $/3+$@A @Calculates the number of elements in a list Calculates the product of all elements in listPOSlist, element Sorts elements in ascending orderFinding statistical values for list elements 89@65@ 0@89$/3+$@ L1 175@ 180@67$76a Go to the Numeric view To display calculated statisticsPage +,7@letter Aplet note viewTo write a note in Note view Your work is automatically saved. Press any view key+,7@%.63$= +,7@ CmdsAplet sketch view Sketch keysTo draw a line To draw a box Where you want any corner of the box to beYou can adjust the size of the box by moving the cursor Draw keysKeys Press 2.again to affix the labelHighlight2. the variable name you want to use and press +,7@NOTEPAD To import a graphics variableTo create a note Name of the note is ‘MYNOTE’Transmits the selected note to Opens the selected note forBegins a new note, and asks for Another HP 39G/40G or PC14-8 Contents of a Program Structured Programming ProgrammingProgram catalog Open Program catalogProgram catalog keys +,7@*k, or *eCreating and editing programs Create a new programA,*e Enter commands Edit a program+,7@CMDS To enter functions more to comeEditing keys Using programs Debug a program Stop a programRun a program From HOME, type RUN programname. or Program Working with programsCopy a Transmit a program Delete a programDelete all Delete the contents of a programAbout customizing an aplet ProgramsAplet naming convention Customizing an aplet example$3/7@Select Configuring the Setviews menu option programs Setviews ’’’’’’’’18 Programming 15-13 Check Programming commandsAplet commands SelectCommand syntax Syntax for the command is as followsAuto-run programs IF...THEN...END Branch commandsUncheck If test-clauseELSE... END CASE...END Iferr Then Iferr trap-clause Then error-clause ENDIF... then ENDDrawing commands Graphic commands Grobor →GROBGrobnot GrobxorLoop commands Matrix commands Scale RandmatRedim ScaleaddPrint commands Prompt commandsDisp linenumbertextitem DispDisptime Editmat matrixnameInput nametitle,labelhelpdefault GetkeyInput Wait MsgboxPrompt Wait secondsStat-One and Stat-Two commands Stat-One commandsStat-Two commands Area Storing and retrieving variables in programsPlot-view variables AxesFastRes CoordExtremum GridInvCross HwidthIndep IsectRoot Nmin / NmaxRecenter S1mark-S5markStatPlot SimultSlope Umin/UmaxTstep Tmin / TmaxTracing XcrossXmin / Xmax XtickYtick Ymin / YmaxYzoom Symbolic-view variablesXzoom AngleU1...U9, U0 X1, Y1...X9,Y9 X0,Y0R1...R9, R0 E1...E9, E0Numeric-view variables C1...C9, C0Digits NumFont FormatNumCol NumIndepNumStep NumRowNumStart NumTypePageNum Extending aplets Creating new aplets based on existing apletsAplet Keys $/3+$@ H 175@ $1@ $/3+$@ θ @$/3+$@ C @ 175@ $3/ @Select 180@ 35 175@Solve for the missing Resetting an apletDownloading e-lessons from the web Length of the ladder is approximately 8.72 metresSending and receiving aplets To transmit an apletSorting items in the aplet library menu list To sort the aplet listTo delete an aplet Reference information Regulatory informationCanada LED safety WarrantyReference information Resetting the HP 39G/40G To reset using the keyboardTo erase all memory and reset defaults If the calculator does not turn on21@ key Glossary Cross matrix1,matrix2Operating temperature 0 to 45C 32 to 113F Operating detailsBatteries Menu maps of the Vars menu Home variables areCategory Available name Modes Function aplet variablesUser-named Function aplet variables areParametric aplet variables Plot-FCNParametric aplet variables are Polar aplet variables Polar aplet variables areSequence aplet variables Sequence aplet variables areSolve aplet variables Solve aplet variables areStatistics aplet variables Statistics aplet variables areStat-One Math functions are Menu maps of the Math menuMath functions CalculusPolynom = =Program constants Program commands Category CommandSelected status messages Message Meaning+,7@ Memory Function value, root, extremum Or intersection is not visibleCurrent screen Index Index Index Index Index Index Index Index Index Index Index Index Index