| HP 40G

Contents

USER’S Guide Page Contents Parametric aplet Inference aplet Importing Sample Statistics from the Statistics apletVariables and memory management Programming Index Preface Manual conventions@, &26@, +20@, etc +,7@CLEAR, 6+,7@MODES, 6+,7@ACOS, etcPreface Getting started On/off, cancel operationsHome Display To adjust the contrast To clear the displayParts of the display Menu keys KeyboardAnnunciator Description Aplet control keys Key Meaning+,7@ $/3+$@175@ 75@Shifted keystrokes HelpwithKey Description +,7@$/3+$@Program commands Inactive keys Math keysMenus To cancel a menuTo search a menu Mode settings Reset input form valuesSetting Options Input formsSetting Options Aplets E-lessons Setting a modePress+20@ to return to Home Aplet Use this aplet to explore Name Quad Explorer aplet N TTrig Explorer aplet *,*A, keysSymbolic view Plot view Numeric view Aplet libraryAplet views Aplets are stored in the Aplet libraryViews menu contains the Plot-Table view Aplet view configuration Plot Setup Numeric Setup SymbolicConfiguration To change viewsMathematical calculations Entering expressionsLong results Negative numbers ExampleExplicit and implicit multiplication Scientific notation powers@4 6+,7@EEX @13@ @@6 6+,7@EEX 23@ j@ 3 6+,7@EEX 175@ Entering Calculates @ 45 @6+,7@π+,7@√ 85@9 +,7@√ @85 @9 @Clearing numbers Using previous results 175@ updates ANS from 50 to 75 to 50175@ @25 175@175@$/3+$@ a 175@ Accessing the display historyKey Function Using fractions Setting Fraction modeSee Setting fraction precision below for more information Clearing the display historySetting fraction precision Fraction calculations Converting decimals to fractions Return to Home and enter the calculation@@@2@3 Evaluate the calculationComplex numbers Converting a number to a fractionComplex results To enter complex numbers + iyCatalogs and editors Catalog/Editor ContentsStoring complex numbers Differences between the HP 38G and the HP 39G/40G Memory manager Plot Goto functionStatistics Pred function Trig Explorer and Quadratic Explorer apletsPage About the Symbolic view Defining an expression Symbolic viewAplets and their views Aplet viewsAplets and their views Aplets Evaluating expressionsHome Symb view keys $56@$7+@ +,7@CLEARSetting up the plot Plot view setup Plot view settingsAbout the Plot view 175@ orReset plot settings Plot view keys Exploring the graph+,7@*A Trace a graph Zoom within a graphTo jump directly to a value To turn trace on/ off Zoom optionsDivides horizontal scale only, using Multiplies horizontal scale, usingDivides vertical scale only, using Multiplies vertical scale only, using018Zoom =220Un-zoomPress *k, to move to the bottom of the Zoom list =220Zoom Out=220X-Zoom =220X-Zoom Out=220Y-Zoom =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 About the numeric view Overlay plotsDecimal scaling Integer scaling Trigonometric scalingNumeric view settings Setting up the table numeric view setupReset numeric settings NUM view menu keys Exploring the table of numbersZoom within a table Building your own table of numbers Arrow keys to place the cursor in the independent variableColumn, then enter the value to jump to 175@, the values for the dependent variables areBuild Your Own menu keys Clear data$3/7@ Select Example plotting a circle+,7@√@9 Function aplet About the Function apletGetting started with the Function aplet Open the Function apletDefine the expressions Plot the functions@75@175@ Plot the functionsChange the scale Trace a graph With FCN functionsTrace the linear function TimesSelectRoot Find the greater of the two roots of the quadratic functionRoot value is displayed at the bottom of the screen 2Select.Slope Move the cursor to x = 1 by pressing the *A,orChoose the end value for @.2Display the numeric view Set up the table Display the numeric setupTo find the extremum of the quadratic Display the numeric viewMatch the table settings to the pixel columns in the graph Explore the tableDisplay a table of numeric values Move to X =Function aplet interactive analysis Area Extremum Isect Root SlopeAccess FCN variables FCN functions Function DescriptionCursor. You need to have at least Symbolic view. DisplaysTwo selected expressions =  Plotting a piecewise defined function example$3/ @ Select Page Parametric aplet About the Parametric apletGetting started with the Parametric aplet Open the Parametric aplet Define the expressions+,7@PLOT Set angle measure Set up the plot Plot the expression360 Overlay plot Display the numbers Plot a triangle graph over the existing circle graph+,7@ Plot 120Page Polar aplet Getting started with the polar apletOpen the Polar aplet +,7@CLEAR 46+,7@π 2.aExplore the graph Display the numbers Sequence aplet starts in the Symbolic view Sequence apletAbout the Sequence aplet Getting started with the Sequence apletDefine the expression Keys to assist in the entry of equationsPlot Setup, set the Seqplot option to Cobweb Plot the sequence Display the tablePlot the Fibonacci sequence Select CobwebPage Solve aplet About the Solve apletOpen the Solve aplet Getting started with the Solve apletDefine the equation Define known variables Solve for the unknown variable a Solve the unknown variable Plot the equation@ Select Auto Solve aplet’s NUM view keys ≈20 timesUse an initial guess Number formatInterpreting results Message ConditionRoot- Finder at work Plotting to find guesses At2 x = v0t +$/3+$@X 180@ 30 175@ 2175@ *e,4175@ *e,*e, to highlight TPlot the graph To move cursor to the intersectionUsing variables in equations Home variablesInitial guess 3175@*k,*k,*kStatistics aplet About the Statistics apletGetting started with the Statistics aplet 1400 920 1100 2265 2890 2200Open the Statistics aplet Enter data 175@1 175@ 175@5 175@ 175@4 175@To move to the next column 1400 175@920 175@ 1100 175@2265 175@ 2890 175@2200 175@Select a fit in the Symbolic setup view Choose fit and data columns Explore statistics Setup plotSelect2. Linear Display the equation for the best linear fit To move to the FIT1 +2fieldEntering and editing statistical data $7+@ S to highlightTo highlight 6175@Statistics aplet’s NUM view keys +,7@ FXUVRU160 175@ 165 175@ 170 175@ 175 175@ 180 175@ $56@ Before re-use Sets will need to be selected againHeight cm Frequency Save data Angle SettingDelete data Defining a regression model 2VAR Insert data Sort data valuesTo choose the fit Select the Sort Order option. You can choose eitherFit models To define your own fit Fit model Meaning= m lnx + b = ax3+bx2+cx+d. Needs at leastOne-variable Computed statisticsStatistic Definition Two-variable Columns for a linear fit onlyTo plot statistical data PlottingYou can plot Plot types Histogram Box and Whisker Plot Scatter PlotRelative Error Fitting a curve to0182VAR dataCorrelation 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 Default the input form contains example data. This example Inference apletAbout the Inference aplet Example dataGetting started with the Inference aplet Open the Inference apletInference aplet’s Symb view keys Hypothesis Tests Confidence IntervalsDefine the inferential method ∝.a∝Field name Definition Open Statistics aplet. Note Reset current settings Importing Sample Statistics from the Statistics apletPlot test results Open the Statistics apletCalculate statistics Open Inference aplet @529 175@ @295 175@ @952 175@ @259 175@ @925 175@ @592 175@Import the data Choose inference method and type2one.a Display Numeric view Display Plot view Specify a 90% confidence interval in the C fieldE, to move to Field Display the confidence interval in the Plot viewHypothesis tests One-Sample Z-TestMenu name InputsResults Two-Sample Z-TestResult Description One-Proportion Z-Test Successes in the two populations is equal Two-Proportion Z-TestH0 π1 = π2 One-Sample T-Test Test 1 ∝Selected hypothesis against the null hypothesis. The null Hypothesis is that the sample mean has some assumed valueTwo-Sample T-Test Sample 1 standard deviation Sample 2 standard deviationConfidence intervals Confidence interval calculations that the HP 39G/40G canPerform are based on the Normal Z-distribution or Student’s Confidence levelTwo populations, ∝1 ∝2, when the population standard Two-Sample Z-IntervalConfidence interval for the difference between the means Deviations, σ1 and σ2, are knownOne-Proportion Z-Interval Sample success countTwo-Proportion Z-Interval Successes in two populationsSample 1 success count Sample 2 success countOne-Sample T-Interval Two-Sample T-Interval Page Math functions Using mathematical functionsMath menu Function categories To select a functionCalculus Loop Stat-Two Complex Matrices Syntax Math functions by categoryFunctions common to keyboard and menus Keyboard functions +,7@ASIN +,7@ACOS+,7@ATAN +,7@√Valuepower +,7@ABSABSvalue +,7@ nCalculus functions TaylorVariableexpression Lower,upper,expression,variableARG Complex number functionsConj Constants Hyperbolic trigonometryList functions AlogEXP EXPM1Loop functions Matrix functionsIterate RecursePolynomial functions PolycoefPolyeval PolyformProbability functions CombPerm RandomUtpc UtpfUtpn UtptReal-number functions HMS→ →HMSINT MantMOD ChangeTotal RAD→DEGStatistics-Two SignTruncate XponSymbolic functions IsolateLINEAR? QuadQuote Trigonometry functions Symbolic calculations Symbolic calculations in the Function apletUsing formal variables HomeFinding derivatives To find derivativesGG@$/3+$@S1 Evaluate the functionTo find derivatives in the Function aplet’s Symbolic view GG@@$/3+$@To find the indefinite integral using formal variables +,7@GG@0 @ $/3+$@ S1 @ 3 @Show the result format Thus, substituting X for S1, it can be seen that10-26 Variables and memory management IntroductionNumeric Precision Storing and recalling variablesTo store a value To store the results of a calculation Vars menu To use variablesCalculations 65 @$/3+$@A 175@Names or values of variables into programs +,7@LIST2contents,.a is copied to the command line $56@ *e,*e,*e,*A$/3+$@L3175@ List names directly from the keyboardCategory Available names Aplet variables To access an aplet variableTo copy the value of the variable into the edit line Memory Manager Start the Memory Manager. a list of variable categoriesIs displayed +,7@MEMORYPage Matrices VectorsMatrices Matrix VariablesCreating and storing matrices Matrix Catalog keys+ 7@CLEAR +,7@*e, orTo create a matrix in the matrix catalog Select the type of matrix to createWorking with matrices To transmit a matrixClears all elements from the matrix +,7@*k, *e728 672? Matrix arithmetic To multiply and divide by a scalar175@ 2175@*e 175@ 4175@ 175@ 8 175@$/3+$@M1@ $/3+$@M2 175@ $/3+$@M1 j@$/3+$@M2 175@Solving systems of linear equations +,7@MATRIX1 175@175@7 175@ +,7@MATRIXMatrix functions and commands About functionsArgument conventions Eigenval EigenvvIdenmat InverseRank RownormRref SchurExamples TraceTRN Identity Matrix Transposing a MatrixReduced-Row Echelon Form Lists Creating listsCreate a list in the List Catalog Open the List catalogList catalog keys Create a list List edit keysDisplaying and editing lists To display a listTo display one element To edit a list @ /@16a*e To insert an element in a list To store one elementDeleting lists Transmitting listsTo delete a list To delete all listsList functions $/3+$@L 5175@ $7+@L *A $/3+$@L5175@$7+@L *A,Select $/3+$@A @Calculates the product of all elements in list POSlist, elementCalculates the number of elements in a list Sorts elements in ascending order89@65@ 0@89 Finding statistical values for list elements$/3+$@ L1 175@ 180@67$76a Go to the Numeric view To display calculated statisticsPage Aplet note view To write a note in Note view+,7@letter Your work is automatically saved. Press any view key+,7@%.63$= +,7@ CmdsSketch keys Aplet sketch viewTo draw a line Where you want any corner of the box to be You can adjust the size of the box by moving the cursorTo draw a box Draw keysPress 2.again to affix the label KeysHighlight2. the variable name you want to use and press To import a graphics variable To create a note+,7@NOTEPAD Name of the note is ‘MYNOTE’Opens the selected note for Begins a new note, and asks forTransmits the selected note to 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 programEnter commands Edit a program +,7@CMDSA,*e To enter functions more to comeEditing keys Debug a program Stop a program Using programsRun a program From HOME, type RUN programname. or Working with programs Copy aProgram Transmit a program Delete a programDelete the contents of a program About customizing an apletDelete all ProgramsCustomizing an aplet example Aplet naming convention$3/7@Select Configuring the Setviews menu option programs Setviews ’’’’’’’’18 Programming 15-13 Programming commands Aplet commandsCheck SelectCommand syntax Syntax for the command is as followsAuto-run programs Branch commands UncheckIF...THEN...END If test-clauseIferr trap-clause Then error-clause END IF... thenELSE... END CASE...END Iferr Then ENDDrawing commands Graphic commands →GROB GrobnotGrobor GrobxorLoop commands Matrix commands Randmat RedimScale ScaleaddPrint commands Prompt commandsDisp DisptimeDisp linenumbertextitem Editmat matrixnameGetkey Input nametitle,labelhelpdefaultInput Msgbox PromptWait Wait secondsStat-One commands Stat-One and Stat-Two commandsStat-Two commands Storing and retrieving variables in programs Plot-view variablesArea AxesCoord ExtremumFastRes GridHwidth IndepInvCross IsectNmin / Nmax RecenterRoot S1mark-S5markSimult SlopeStatPlot Umin/UmaxTmin / Tmax TracingTstep XcrossXtick YtickXmin / Xmax Ymin / YmaxSymbolic-view variables XzoomYzoom AngleX1, Y1...X9,Y9 X0,Y0 R1...R9, R0U1...U9, U0 E1...E9, E0C1...C9, C0 Numeric-view variablesDigits Format NumColNumFont NumIndepNumRow NumStartNumStep NumTypePageNum Extending aplets Creating new aplets based on existing aplets$/3+$@ H 175@ $1@ $/3+$@ θ @ Aplet Keys$/3+$@ C @ 175@ $3/ @Select 180@ 35 175@Resetting an aplet Downloading e-lessons from the webSolve for the missing Length of the ladder is approximately 8.72 metresSending and receiving aplets To transmit an apletTo sort the aplet list Sorting items in the aplet library menu listTo delete an aplet Regulatory information Reference informationCanada LED safety WarrantyReference information Resetting the HP 39G/40G To reset using the keyboardIf the calculator does not turn on To erase all memory and reset defaults21@ key Glossary Cross matrix1,matrix2Operating details Operating temperature 0 to 45C 32 to 113FBatteries Home variables are Menu maps of the Vars menuCategory Available name Function aplet variables User-namedModes Function aplet variables arePlot-FCN Parametric aplet variablesParametric aplet variables are Polar aplet variables Polar aplet variables areSequence aplet variables Sequence aplet variables areSolve aplet variables Solve aplet variables areStatistics aplet variables are Statistics aplet variablesStat-One Menu maps of the Math menu Math functionsMath functions are CalculusPolynom = =Program constants Program commands Category CommandMessage Meaning Selected status messages+,7@ Memory Or intersection is not visible Function value, root, extremumCurrent screen Index Index Index Index Index Index Index Index Index Index Index Index Index

HP 40G manual

Models: 40G