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HP 40G manual Coord, Extremum, FastRes, Grid, Hmin/Hmax

Models: 40G

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Page 237

Coord

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Extremum

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FastRes

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Grid

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Hmin/Hmax

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Turns the coordinate-display mode in Plot view on or off.

From Plot view, use the Menu mean key to toggle coordinate display on an off.

In a program, type

1&Coord—to turn coordinate display on (default).

0&Coord—to turn coordinate display off.

Contains the last value found by the Extremum operation in the Plot-FCN menu.

Toggles resolution between plotting in every other column (faster), or plotting in every column (more detail).

From Plot Setup, choose Faster or More Detail.

or

In a program, type

1&FastRes—for faster (default).

0&FastRes—for more detail.

Turns the background grid in Plot view on or off. From Plot setup, check (or uncheck) GRID.

or

In a program, type

1&Grid to turn the grid on.

0& Grid to turn the grid off (default).

Defines minimum and maximum values for histogram bars.

From Plot Setup for one-variable statistics, set values for HRNG.

or

In a program, type

n1 & Hmin

n2 & Hmax

where n2 > n1

Programming

15-31

Image 237

HP 40G manual Coord, Extremum, FastRes, Grid, Hmin/Hmax

Contents

USER’S Guide Page Contents Parametric aplet Importing Sample Statistics from the Statistics aplet Inference apletVariables and memory management Programming Index Manual conventions Preface@, &26@, +20@, etc +,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 Key Meaning Aplet control keys$/3+$@ +,7@175@ 75@Helpwith Shifted keystrokesKey Description +,7@$/3+$@Math keys Program commands Inactive keysTo cancel a menu MenusTo search a menu Reset input form values Mode settingsSetting Options Input formsSetting Options Setting a mode Aplets E-lessonsPress+20@ to return to Home Aplet Use this aplet to explore Name N T Quad Explorer aplet*,*A, keys Trig Explorer apletAplet library Symbolic view Plot view Numeric viewAplet views Aplets are stored in the Aplet libraryViews menu contains the Plot-Table view Plot Setup Numeric Setup Symbolic Aplet view configurationConfiguration To change viewsEntering expressions Mathematical calculationsLong results Negative numbers ExampleScientific notation powers Explicit and implicit multiplication@4 6+,7@EEX @13@ @@6 6+,7@EEX 23@ j@ 3 6+,7@EEX 175@ @ 45 @6+,7@π Entering Calculates+,7@√ 85@9 +,7@√ @85 @9 @Clearing numbers Using previous results 50175@ @25 175@175@ 175@ updates ANS from 50 to 75 toAccessing the display history $/3+$@ a 175@Key Function Setting Fraction mode Using fractionsSee Setting fraction precision below for more information Clearing the display historySetting fraction precision Return to Home and enter the calculation Fraction calculations Converting decimals to fractions@@@2@3 Evaluate the calculationConverting a number to a fraction Complex numbersComplex results To enter complex numbers + iyCatalog/Editor Contents Catalogs and editorsStoring complex numbers Memory manager Plot Goto function Differences between the HP 38G and the HP 39G/40GStatistics Pred function Trig Explorer and Quadratic Explorer apletsPage Defining an expression Symbolic view About the Symbolic viewAplets and their views Aplet viewsAplets and their views Evaluating expressions ApletsHome $56@ Symb view keys$7+@ +,7@CLEARPlot view settings Setting up the plot Plot view setupAbout the Plot view 175@ orReset plot settings Exploring the graph Plot view keys+,7@*A Zoom within a graph Trace a graphTo jump directly to a value To turn trace on/ off Zoom optionsMultiplies horizontal scale, using Divides horizontal scale only, usingDivides vertical scale only, using Multiplies vertical scale only, using=220Un-zoom 018ZoomPress *k, to move to the bottom of the Zoom list =220Zoom Out=220X-Zoom Out =220X-Zoom=220Y-Zoom =220Y-Zoom OutTo box zoom To set zoom factors Options Other views for scaling and splitting the graphMenu key copies the right plot to the left Overlay plots About the numeric viewDecimal scaling 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 Arrow keys to place the cursor in the independent variable Building your own table of numbersColumn, then enter the value to jump to 175@, the values for the dependent variables areClear data Build Your Own menu keysExample plotting a circle $3/7@ Select+,7@√@9 About the Function aplet Function apletGetting started with the Function aplet Open the Function apletPlot the functions Define the expressions@75@175@ Plot the functionsWith FCN functions Change the scale Trace a graphTrace the linear function TimesFind the greater of the two roots of the quadratic function SelectRootRoot value is displayed at the bottom of the screen Move the cursor to x = 1 by pressing the *A,or 2Select.SlopeChoose the end value for @.2Display the numeric setup Display the numeric view Set up the tableTo find the extremum of the quadratic Display the numeric viewExplore the table Match the table settings to the pixel columns in the graphDisplay a table of numeric values Move to X =Area Extremum Isect Root Slope Function aplet interactive analysisFunction Description Access FCN variables FCN functionsSymbolic view. Displays Cursor. You need to have at leastTwo selected expressions Plotting a piecewise defined function example = $3/ @ Select Page About the Parametric aplet Parametric apletGetting started with the Parametric aplet Open the Parametric aplet Define the expressionsSet angle measure Set up the plot Plot the expression +,7@PLOT360 Plot a triangle graph over the existing circle graph Overlay plot Display the numbers+,7@ Plot 120Page Getting started with the polar aplet Polar apletOpen the Polar aplet +,7@CLEAR 46+,7@π 2.aExplore the graph Display the numbers Sequence aplet Sequence aplet starts in the Symbolic viewAbout the Sequence aplet Getting started with the Sequence apletKeys to assist in the entry of equations Define the expressionPlot the sequence Display the table Plot Setup, set the Seqplot option to CobwebPlot the Fibonacci sequence Select CobwebPage About the Solve aplet Solve apletGetting started with the Solve aplet Open the Solve apletDefine the equation Define known variables Solve the unknown variable Plot the equation Solve for the unknown variable a@ Select Auto ≈20 times Solve aplet’s NUM view keysNumber format Use an initial guessMessage Condition Interpreting resultsRoot- Finder at work At2 x = v0t + Plotting to find guesses$/3+$@X 180@ 30 175@ 2175@ *e,4175@ *e,*e, to highlight TTo move cursor to the intersection Plot the graphHome variables Using variables in equationsInitial guess 3175@*k,*k,*kAbout the Statistics aplet Statistics apletGetting started with the Statistics aplet 1400 920 1100 2265 2890 2200175@1 175@ 175@5 175@ 175@4 175@ Open the Statistics aplet Enter dataTo move to the next column 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 To move to the FIT1 +2field Display the equation for the best linear fit$7+@ S to highlight Entering and editing statistical dataTo highlight 6175@+,7@ FXUVRU Statistics aplet’s NUM view keys160 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 Insert data Sort data values Defining a regression model 2VARTo choose the fit Select the Sort Order option. You can choose eitherFit model Meaning Fit models To define your own fit= m lnx + b = ax3+bx2+cx+d. Needs at leastComputed statistics One-variableStatistic Definition Columns for a linear fit only Two-variablePlotting To plot statistical dataYou can plot Histogram Box and Whisker Plot Scatter Plot Plot typesFitting a curve to0182VAR data Relative ErrorCorrelation CoefficientPlotting mark 2VAR Connected points 2VAR Setting up the plot Plot setup viewTrouble-shooting a plot Statistics aplet’s Plot view keys Find predicted values Calculating predicted valuesPage Inference aplet Default the input form contains example data. This exampleAbout the Inference aplet Example dataOpen the Inference aplet Getting started with the Inference apletInference aplet’s Symb view keys Hypothesis Tests Confidence Intervals∝.a∝ Define the inferential methodField name Definition Importing Sample Statistics from the Statistics aplet Open Statistics aplet. Note Reset current settingsPlot test results Open the Statistics aplet@529 175@ @295 175@ @952 175@ @259 175@ @925 175@ @592 175@ Calculate statistics Open Inference apletChoose inference method and type Import the data2one.a Specify a 90% confidence interval in the C field Display Numeric view Display Plot viewE, to move to Field Display the confidence interval in the Plot viewOne-Sample Z-Test Hypothesis testsMenu name InputsTwo-Sample Z-Test ResultsResult Description One-Proportion Z-Test Two-Proportion Z-Test Successes in the two populations is equalH0 π1 = π2 Test 1 ∝ One-Sample T-TestSelected hypothesis against the null hypothesis. The null Hypothesis is that the sample mean has some assumed valueTwo-Sample T-Test Sample 2 standard deviation Sample 1 standard deviationConfidence interval calculations that the HP 39G/40G can Confidence intervalsPerform are based on the Normal Z-distribution or Student’s Confidence levelTwo-Sample Z-Interval Two populations, ∝1 ∝2, when the population standardConfidence interval for the difference between the means Deviations, σ1 and σ2, are knownSample success count One-Proportion Z-IntervalSuccesses in two populations Two-Proportion Z-IntervalSample 1 success count 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@ACOS +,7@ASIN+,7@ATAN +,7@√+,7@ABS ValuepowerABSvalue +,7@ nTaylor Calculus functionsVariableexpression Lower,upper,expression,variableComplex number functions ARGConj Hyperbolic trigonometry ConstantsAlog List functionsEXP EXPM1Matrix functions Loop functionsIterate RecursePolycoef Polynomial functionsPolyeval PolyformComb Probability functionsPerm RandomUtpf UtpcUtpn UtptReal-number functions →HMS HMS→INT MantChange MODTotal RAD→DEGSign Statistics-TwoTruncate XponIsolate Symbolic functionsLINEAR? QuadQuote Trigonometry functions Symbolic calculations in the Function aplet Symbolic calculationsUsing formal variables HomeTo find derivatives Finding derivativesGG@$/3+$@S1 Evaluate the functionGG@@$/3+$@ To find derivatives in the Function aplet’s Symbolic view+,7@GG@0 @ $/3+$@ S1 @ 3 @ To find the indefinite integral using formal variablesShow the result format Thus, substituting X for S1, it can be seen that10-26 Introduction Variables and memory managementStoring and recalling variables Numeric PrecisionTo store a value To store the results of a calculation To use variables Vars menuCalculations 65 @$/3+$@A 175@+,7@LIST Names or values of variables into programs$56@ *e,*e,*e,*A 2contents,.a is copied to the command line$/3+$@L3175@ List names directly from the keyboardCategory Available names To access an aplet variable Aplet variablesTo copy the value of the variable into the edit line Start the Memory Manager. a list of variable categories Memory ManagerIs displayed +,7@MEMORYPage Vectors MatricesMatrices Matrix VariablesMatrix Catalog keys Creating and storing matrices+ 7@CLEAR +,7@*e, orSelect the type of matrix to create To create a matrix in the matrix catalogTo transmit a matrix Working with matricesClears all elements from the matrix +,7@*k, *e728 672? To multiply and divide by a scalar Matrix arithmetic175@ 2175@*e 175@ 4175@ 175@ 8 175@$/3+$@M1 j@$/3+$@M2 175@ $/3+$@M1@ $/3+$@M2 175@+,7@MATRIX1 175@ Solving systems of linear equations175@7 175@ +,7@MATRIXAbout functions Matrix functions and commandsArgument conventions Eigenvv EigenvalIdenmat InverseRownorm RankRref SchurTrace ExamplesTRN Identity Matrix Transposing a MatrixReduced-Row Echelon Form Creating lists ListsCreate a list in the List Catalog Open the List catalogList catalog keys List edit keys Create a listTo display a list Displaying and editing listsTo display one element To edit a list @ /@To insert an element in a list To store one element 16a*eTransmitting lists Deleting listsTo delete a list To delete all listsList functions $/3+$@L5175@ $/3+$@L 5175@ $7+@L *A$7+@L *A,Select $/3+$@A @POSlist, element Calculates the product of all elements in listCalculates the number of elements in a list Sorts elements in ascending orderFinding statistical values for list elements 89@65@ 0@89$/3+$@ L1 175@ Go to the Numeric view To display calculated statistics 180@67$76aPage To write a note in Note view Aplet note view+,7@letter Your work is automatically saved. Press any view key+,7@ Cmds +,7@%.63$=Aplet sketch view Sketch keysTo draw a line You can adjust the size of the box by moving the cursor Where you want any corner of the box to beTo draw a box Draw keysKeys Press 2.again to affix the labelHighlight2. the variable name you want to use and press To create a note To import a graphics variable+,7@NOTEPAD Name of the note is ‘MYNOTE’Begins a new note, and asks for Opens the selected note forTransmits the selected note to Another HP 39G/40G or PC14-8 Programming Contents of a Program Structured ProgrammingOpen Program catalog Program catalog+,7@*k, or *e Program catalog keysCreate a new program Creating and editing programs+,7@CMDS Enter commands Edit a programA,*e To enter functions more to comeEditing keys Using programs Debug a program Stop a programRun a program From HOME, type RUN programname. or Copy a Working with programsProgram Transmit a program Delete a programAbout customizing an aplet Delete the contents of a programDelete all ProgramsAplet naming convention Customizing an aplet example$3/7@Select Configuring the Setviews menu option programs Setviews ’’’’’’’’18 Programming 15-13 Aplet commands Programming commandsCheck SelectSyntax for the command is as follows Command syntaxAuto-run programs Uncheck Branch commandsIF...THEN...END If test-clauseIF... then Iferr trap-clause Then error-clause ENDELSE... END CASE...END Iferr Then ENDDrawing commands Graphic commands Grobnot →GROBGrobor GrobxorLoop commands Matrix commands Redim RandmatScale ScaleaddPrompt commands Print commandsDisptime DispDisp linenumbertextitem Editmat matrixnameInput nametitle,labelhelpdefault GetkeyInput Prompt MsgboxWait Wait secondsStat-One and Stat-Two commands Stat-One commandsStat-Two commands Plot-view variables Storing and retrieving variables in programsArea AxesExtremum CoordFastRes GridIndep HwidthInvCross IsectRecenter Nmin / NmaxRoot S1mark-S5markSlope SimultStatPlot Umin/UmaxTracing Tmin / TmaxTstep XcrossYtick XtickXmin / Xmax Ymin / YmaxXzoom Symbolic-view variablesYzoom AngleR1...R9, R0 X1, Y1...X9,Y9 X0,Y0U1...U9, U0 E1...E9, E0Numeric-view variables C1...C9, C0Digits NumCol FormatNumFont NumIndepNumStart NumRowNumStep NumTypePageNum Creating new aplets based on existing aplets Extending apletsAplet Keys $/3+$@ H 175@ $1@ $/3+$@ θ @$/3+$@ C @ 175@ 180@ 35 175@ $3/ @SelectDownloading e-lessons from the web Resetting an apletSolve for the missing Length of the ladder is approximately 8.72 metresTo transmit an aplet Sending and receiving apletsSorting items in the aplet library menu list To sort the aplet listTo delete an aplet Reference information Regulatory informationCanada Warranty LED safetyReference information To reset using the keyboard Resetting the HP 39G/40GTo erase all memory and reset defaults If the calculator does not turn on21@ key Cross matrix1,matrix2 GlossaryOperating temperature 0 to 45C 32 to 113F Operating detailsBatteries Menu maps of the Vars menu Home variables areCategory Available name User-named Function aplet variablesModes Function aplet variables areParametric aplet variables Plot-FCNParametric aplet variables are Polar aplet variables are Polar aplet variablesSequence aplet variables are Sequence aplet variablesSolve aplet variables are Solve aplet variablesStatistics aplet variables Statistics aplet variables areStat-One Math functions Menu maps of the Math menuMath functions are Calculus= = PolynomProgram constants Category Command Program commandsSelected 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