Advanced Graphing app

The Advanced Graphing app enables you to define and explore the graphs of symbolic open sentences in x, y, both or neither. You can plot conic sections, polynomials in standard or general form, inequalities, and functions. The following are examples of the sorts of open sentences you can plot:

1.x2/3 – y2/5 = 1

2.2x – 3y ≤ 6

3.mod x = 3

2⎛ ⎛ y ⎞ ⎞

4.sin(( x2 + y2 – 5) ) > sin⎝8 ⋅ atan⎝ ---- ⎠ ⎠ x

5.x2 + 4x = –4

6.1 > 0

The illustrations below show what these open sentences look like when plotted:

Example 1

Example 2

Advanced Graphing app

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Image 129

HP Prime Graphing NW280AAABA manual Advanced Graphing app

Contents

User Guide HP Prime Graphing Calculator Product Regulatory & Environment Information Edition1 Part Number NW280-2001 Legal Notices Printing History EditionJuly Page Contents Application Library App views Symbolic view Plot viewCommon operations in Plot view Zoom Trace Function app Computed statistics 233 Getting started with the Polar app 277 Getting started with the Parametric app 271 Variables Lists Status messages Basic integer arithmetic Manual conventions Preface Function, Polar, Parametric, Ans, etc Before starting Getting started On/off, cancel operations Display Sections of the display Uppercase when a key is pressed Be entered in uppercase when aLowercase when a key is pressed You are working in CAS view, not Navigation Touch gestures Keyboard Context-sensitive menu Primary entry and edit keys are Entry and edit keys Comparison operators and Bool Minute, or second symbol accordEan operators Characters Shift keys Adding text Math template Math keys Math shortcuts 236…. Press conce to see 219602 and again to see Fractions Hexagesimal numbersPressing ca third time will cycle back to Original decimal representation Return home H Enter 4BQ13 s6B23n 3BQ5 EEX key powers To select from a menu Menus Input forms Toolbox menusAlternatively, select the field and tap Home settings System-wide settings Fixed 2 format Becomes 123.4623E2 in Scientific Becomes 1.23E9 in Engineer Or a+b*i Shorthand. The default is to provide Commands on the Math and CASMenus are presented descriptively Or in common mathematical MM/DD/YYYY YYYY/MM/DD, DD/MM/YYYY, or Press SH Settings to open Specifying a Home setting Always one-dimensional Where to startMathematical calculations Choosing an entry type Entering expressions Examples that follow assume that the entry mode isRPN Reverse Polish Notation. Not available in CAS view Textbook R23jw14S j8nQ3 h45E Example Parentheses Algebraic precedence Negative numbersE45+Sz Sj85s9 Explicit and implied multiplication Large results Reusing previous expressions and results Using the clipboard To reuse the lastResult Storing a value in a variable Sj2ESjS+E Szj AaE Szj AQAcEExample To assign π2 to to the variable a Complex numbers Sharing dataR2o3 Ay6E HP Prime to another When is tapped Online Help Reverse Polish Notation RPN RPN Reverse Polish NotationRPN is available in Home view, but not in CAS view History in RPN mode Sample calculations Re-usingResults SzX3 Reverse Polish Notation RPN Manipulating the stack SwapStack Show an item Delete an item Delete all items CAS view Computer algebra system CAS Menu buttons in CAS view are Assigns an object to a variable CAS calculations 2Asj+3 SettingsAsw2 5Asjw6 Standard or Scientific or Engineering Ments Radians or Degrees Recursive Replacement Tion above See also Recursive Evalua Computer algebra system CAS Computer algebra system CAS Exam Mode Press SH. The Home Settings screen appears Tap Modifying the default configurationDon’t want disabled are not selected Press O+ A+ c Before, the only base configuration will be Default Exam Creating a new configuration Activating Exam Mode Tap If a configuration other than Default To activate exam mode Modifying configurations Cancelling exam modeTo change a configuration To return to the default configuration Deleting configurationsTap Exam Mode screen appears Exam Mode An introduction to HP apps Linear Solver EquationsSolve Explore equations in one or more real Application Library To delete an app Other options App views Symbolic viewConfidence level, and select a type Test Symbolic Setup view Symbolic view Plot viewSolve Plot Setup view Test selected in Symbolic view Numeric viewAdvanced View a table of numbers generated by Graphing Numeric Setup view Symbolic view, and set the zoom factorAdvanced Specify the numbers to be calculated Graphing Open the app Quick example4Szf n2f jE N2f Press P Press SP Set the second θRNG field to 4π by enteringPress Pto return to Plot view and see the complete plot Common operations in Symbolic view Θ column to be 1. You set this up in the Numeric Setup viewNumeric View Add a definition Modify a definitionDefinitional building blocks From Home variables Select or deselect a definition to explore Evaluate a dependent definitionF9X=X2+Statistics2Var.PredY6 X2+X+ 2 *X2 Delete a definition Choose a color for plots Symbolic view Summary of menu buttons Override system-wide settings Common operations in Symbolic Setup viewRestore default settings Press SYto open Symbolic Setup view Common operations in Plot view ZoomZoom factors Zoom options Zoom setting By the X Zoom and Y Zoom settingsCenter on Shortcut press w Graph with the original plot settings Given the supplied x axis settings. ForShows a representative piece of the plot Apps, autoscaling rescales both axes Zoom with Testing aSplit-screen Viewing Out Shown, tap Autoscale SquareDecimal Integer Trig Trace To evaluate a definition To turn tracing on or off Common operations in Plot Setup view Configure Plot viewPlot view Summary of menu buttons Polar only Parametric OnlySequence Only Stats 1 Var only That here are two fields one for Sets the initial range of the x-axis. NotePanning and zooming Sets the initial range of the y-axis. Note Graphing methods Common operations in Numeric view Restore default settings Zoom options Zoom keys Zoom menu Evaluating Deleting data Custom tables Numeric view Summary of menu buttons Start typing a new value Only visible if Numtype is set toSelect Ascending or Descending , Modifying Numeric Setup Common operations in Numeric Setup view Adding a note to an app Combining Plot and Numeric Views Creating an app Fibonacci in this example Asjw5 App functions and variables Select Statistics 1Var results MeanX Tap This opens a menu of app variables Getting started with the Function app Function app Rdw1 jw3E Open the Function app Define the expressionsOpen the Function app ISelect Function Set up the plot Plot the functions Trace a graph Change the scale Display the Numeric Setup view SMSetup Display Numeric view Set up Numeric view Explore Numeric view Press SJClear to reset all the settings to their defaultsTo navigate around a table Substituted the values in the X column for x To access the zoom To go directly to a valueOptions Display the Plot view menu Analyzing functionsTo find a root of the quadratic function =or\ Intersection of two To find anFunctions Intersection To find the slope of the quadratic function To find the signed area between the two functions To find Function VariablesExtremum Quadratic Function Select Results and then the variable of interest Tap and select Summary of FCN operations Named ExtremumSlope Advanced Graphing app Getting started with the Advanced Graphing app Jn2 Open the app Define the open sentence+ n5 ISelect Advanced Graphing 128 Advanced Graphing app Advanced Graphing app 129 Region. Use this option for You can move in any direction withinInequalities, for example Edge Numeric view Display the Numeric view Explore Numeric view Trace in Numeric view Numeric Setup Trace Edge Sj3n2Trace PoI Exploring a plot from the Plot Gallery Plot Gallery Getting started with the Geometry app Geometry 3seASsE Plot FunctionWith plotfunc on the entry line, enter 3*sinx More Tangent Derivative point Create a AbscissaGB,slopeGC Add some calculations 140 Derivative Plot view in detailPoint D is the point whose ordinate value matches Derivative changes by looking at a plot of it rather than 142 Object Selecting anHiding names Moving objects Filling objects Coloring objectsRemoving fill Undoing Clearing all Clearing anObjects Moving about Plot view buttons and keys Key Result in Plot view Symbolic view in detail Entries Re-orderingHiding an object Tap either To move it down the list or Move it up Numeric view in detail Can delete an object in Symbolic viewDeleting an Tap Or press C To delete all objects, press SJ Enter radiusGC Listing all 152 Points Geometric objects More Element 0 . . Notice Line Ngon Polygon Special Curve That passes through each Circumcircle is the circleTriangle’s three vertices Thus enclosing the triangle Special Locus places Geometric transformations Axis and press E. The object is reflected across Tap Select ReflectionSymmetry axis defined in step Given scale factor around a given point as center GK,angleGK,GL,GM Select Transform Rotation 164 Symbolic view Cmds menu Geometry functions and commandsPoint Barycenter Divisionpoint CenterElement Inter Midpoint IsobarycenterOrthocenter Point Stop trace Point2dErase trace DrawSlp Exbisector BisectorHalfline Line Parallel MedianlinePerpenbisector Medianlinepoint1, point2, point3 Segment PerpendicularTangent Draws a segment defined by its endpoints Hexagon EquilateraltriangleEquilateral triangle0,6 draws an equilateral Equilateral triangle0,6, v draws an equilateral Isopolygon IsoscelestriangleParallelogram IsoscelestriangleGA, GB, angleGC, GA, GB Quadrilateral PolygonRectangle Rhombus Righttriangle SquareTriangle Circumcircle CircleConic CircumcircleGA, GB, GC draws the circle Excircle EllipseHyperbola Excirclepoint1, point2, point3 Incircle TransformLocus Parabola Projection InversionReflection Draws the orthogonal projection of a point onto a curve Similarity RotationTranslation RotateGA, angleGB, GC, GD,GK rotates Measure Plot Measure Numeric view Cmds menu Angle AffixArcLen Area Distance CoordinatesDistance2 Area4-x2/4, x=-4..4 returns 14.666… Extractmeasure EquationOrdinate Parameq Radius TestIscollinear Isconcyclic Isequilateral IselementIsisoceles Isorthogonal Isparallelogram IsparallelIsperpendicular Isrectangle Issquare Other Geometry functionsConvexhull Harmonicconjugate Isharmoniccirclebundle IsharmonicIsharmoniclinebundle Isrhombus LineVert LineHorzOpenpolygon Polar Pole PowerpcRadicalaxis Reciprocation Vector SingleinterVertices Verticesabca 194 Spreadsheet Getting started with the Spreadsheet appTo open the Spreadsheet app, press Iand select Spreadsheet 196 Select cell C3 Enter a label for your total commission Select cell D1 Enter a formula to add up your takingsSelect the heading cell for column C, tap and select Select cell C5 Enter a label for your fixed costs Ancostse Navigation, selection and gestures Basic operations Cell references Cell namingMethod Entering content Enter Cost and tapCOST*0.33 and tap Enter Statistics1Var.D1 Select Polynomial Find Roots External functions Copy and paste External referencesTo copy one or more cells, select them and press SVCopy Format, both value and format, or both formula and format Referencing variables = Row2-√Row-1. The only Using the CAS in spreadsheet calculations Handled by the CAS, but only Evaluates it Buttons and keysLine is active Changes to Formatting options Formatting options appearFont Size Auto or from 10 to 22 point Format Parameters Spreadsheet functions Statistics 1Var app Getting started with the Statistics 1Var appStatistics 1Var Sample data in D1 Menu items you can tap on in Symbolic view are Symbolic view menu itemsEditing. Tap when done Enters D directly to save you having to press two keys 214 Entering and editing statistical data Configure a histogram plot for the data Setup 1Var app open, return to Home view and enter Edit a data setSpreadsheet.A1A10 D7 E Menu items you can tap on in Numeric view are Delete data Insert data Generating data Sort data values Computed statistics Plot types PlottingTo plot statistical data Histogram Normal probability Box-and-WhiskerLine plot Bar graph Pareto chart Setting up the plot Plot Setup viewExploring the graph Data in descending Menu items you can tap on in Plot view are Plot view menu items Getting started with the Statistics 2Var app Statistics 2Var appAdvertising minutes Resulting sales $ Dependent, y Enter the advertising minutes data in column C1 2E1E3E5E5E4 Statistics 2Var Statistics 2Var app 225 Setup plot Plot the graph Display the equation Predict values Spreadsheet.A1A10 C7 E Numeric view menu items Buttons you can tap on in Numeric view areTap , make your change, and tap Descending Delete data Insert data Sort data values Fit types Defining a regression model Fits the data to a logistic curve Where L is the saturation valueFor growth. You can store a Positive real value in L, or-if SCOV COVΣXY SerrY Plotting statistical data Tracing a scatter Tracing a curveTracing order Plot view menu items Plot setupPlotting mark Connect Home view Predicting values Troubleshooting a plot Getting started with the Inference app Inference appOpen Inference Test μ1 μ2, the T-Test on Symbolic view options Test 1 μ from the Type menu Select the inference method Enter dataSample mean Sample size Population standard deviation Alpha level for the test Display the test results Plot the test results Importing statistics Open the Statistics 1Var app Clear unwanted data Enter data82.5 E 83.1 E 82.6 E 83.7 E 82.4 E 83 E Select inference method and type Import the data Calculate statistics Open the Inference appTap on the Method field and select Confidence Interval Display Hypothesis testsResults Numerically One-Sample Z-Test Menu nameInputs Two-Sample Z-Test One-Proportion Z-Test Two-Proportion Z-Test Test Z Test statistic Test Δ pˆ Difference between One-Sample T-TestWith the test Z-value This test measures the strength of the evidence for a Two-Sample T-Test Test μ1 μ2Each sample from a different population, this test Sample 1 standard deviation Sample 2 standard deviationΑ level that you supplied Confidence intervals One-Sample Z-IntervalTwo-Sample Z-Interval Int 1π One-Proportion Z-IntervalNumber of successes Sample success count Sample size Confidence level Menu name Int π1 π2 Two-Proportion Z-IntervalConfidence interval for the difference between Proportions of successes in two populations Two-Sample T-Interval One-Sample T-Interval Result Definition 258 Getting started with the Solve app Solve app Open the Solve app One equationClear the app and define the equation AVjS.AU j+2AAAD Enter known variables Solve the unknown variableKph over a distance Is approximately 2.4692 m/s2 Plot the equation Where n is the number of the selected equationSelect Auto Scale Select Both sides of En Matches the value of a you calculated above Several equations Open the Solve app Define the equations Enter a seed valueAXj+AYj S.16E AXwAYS. Q1E Solve the unknown variables Limitations Zero Solution informationSign Reversal Bad Guesses Constant? No values satisfy the selected equation or expressionValue of the equation is the same at every point sampled Getting started with the Linear Solver app Linear Solver appOpen the Linear Solver app. ISelect Linear Solver Coefficients and constants had been entered Define and solve the equations Solve a two-by- two system Menu items 270 Getting started with the Parametric app Parametric appOpen the Parametric app Parametric 8ed? 8fd? Define the functions Degrees Set the angle measure Set up the plot Plot the functions 274 Tap .The table scrolls to the value you entered 276 Polar app Open the Polar app ISelect Polar App opens in Symbolic viewGetting started with the Polar app Open the Polar app Set angle measure Set up the plot 5Szf dn2 fdjDefine the expression 5πcosθ/2cosθ2 Plot the expression Explore the graph 280 Polar app Getting started with the Sequence app Sequence app + E App opens in Symbolic view Define the Fibonacci sequenceOpen the Sequence app ISelect Sequence Select Stairstep from the Seq Plot menu Plot the sequence Display Numeric view Explore the table of values Define the expression Setup the plot Set up the table of valuesAnother example Explicitly-defined sequences RQFand Plot the sequence Explore the table of sequence values Getting Started with the Finance app Finance app 288 Cash flow diagrams Time value of money TVM PMT TVM calculations Another example 292 To calculate amortizations Calculating amortizations Amortization graph Finance app 295 Getting started with the Triangle Solver app Triangle Solver appTapping Open the Triangle Solver app ISelect Specify the known values Solve for the unknown values Choosing triangle types Special cases Triangle Solver app 299 Linear Explorer app Explorer apps Between them by tapping or Graph mode Test mode Equation mode Tap to enter Open the app Quadratic Explorer appQuadratic Explorer Its value. When you are ready, tap To see if you Equation modeTap To see the correct answer and tap Exit Test mode Graphs that are harder match by tapping Respectively Trig Explorer Trig Explorer app Graph by pressing Tap To switch toCursor keys. All four keys Are available. Now press the cursor keys to select each parameter Tap to see the correct answer and tap to exit Test mode All the functions and commands Functions and commands 308 Keyboard functions Abbreviations used in this chapterNORMALICDFμ,σ,p Shex +,w,s, nE5 returns ALOG3 returns Efg 1returns +2*i returns -1-2*i2returns Numbers Math menu Arithmetic Example XPON123456 returns 5 since 105.0915... equalsMaximum Maximum. The greater of two values Example ARG3+3*i returns 45 degrees mode Modulus Modulo. The remainder of value1/value2Percentage x percent of y that is, x/100*y Example Trigonometry Probability Hyperbolic Normal Random real number with normal distribution Nμ,σ PERM5,2returns NORMALDμ,σ,x RANDSEEDvalueNORMALD0.5 and NORMALD0,1,0.5 both return STUDENTn,x Is a real number CHISQUARECDF2,6.1 returns CHISQUARECDFn,kFISHERCDFn,d,x FISHERCDF5,5,2 returns List Special Matrix Algebra CAS menu PartfracRatFrac or Opt Syntax substExpr,Var=valueNumera,b Denoma/b Calculus DiffExpr,var DiffExpr,var1$k1,var2$k2LimitExpr,Var,Val,Dir1, 0 SumExpr,Var,Real1, Real2,Step SeriesExpr,Equalvar=limitpoint,Orde r,Dir1,0,-1CurlExpr1, Expr2, …, ExprN, Var1, Var2, …, VarN DivergenceExpr1, Expr2, …, ExprN, Var1, Var2, …, VarN Hessian Returns the Hessian matrix of an expression GradExpr,LstVarHessianExpr,LstVar IbpufVar, uVar, Var, Real1, Real2 SumriemannExprXpr,Lstvar1,var2 PrevalExprFvar,Reala,Realb,VarTaylorExpr,Var=Value,Order DivpcPoly1,Poly2,Integer Solve Zerosx2-4 returns -2 ZerosExpr,Var or zerosExpr1, Expr2,…,Var1, Var2,…CsolveEq,Var CsolveEq1, Eq2,…, Var CZerosExpr,Var CZerosExpr1, Expr2,…,Var1, Var2,… Rewrite Exp2powExpr TexpandExprPow2expExpr Exp2trigExpr Sin2costanExpr Asin2atanExprAcos2asinExpr Acos2atanExpr Atan2asinatan2*x returns Atan2asinExprAtan2acosExpr Tan2sincosExpr TrigtanExpr TrigcosExprAtrig2lnExpr TlinExprTrig Integer IsPrimeInteger GcdIntgr1, Intgr2,…NextprimeInteger PrevprimeInteger IquoIntgr1, Intgr2 PolynomialIremIntgr1, Intgr2 Powmoda, n, p,Expr,Var DivisPoly or divisPoly1, Poly2,… CoeffPoly, Var, IntegerFactorsPoly or factorsPoly1, Poly2,… GcdPoly1,Poly2 Symb2polyExpr,Var Symb2polyExpr, Var1, Var2,… Poly2symbVector, VarPcoefVect PminMtrx,Var QuoList1, List2, Var QuoPoly1, Poly2, VarRemList1, List2, Var RemPoly1, Poly2, Var DegreePoly ContentPoly,VarFactorxnPoly SturmabPoly,Var,a,b GbasisPoly1 Poly2…, Var1 Var2… CyclotomicIntegerGreducePoly1, Poly2 Poly3 …, Var1 Var2… HermiteInteger LaguerreInteger LagrangeX1 X2…, Y1 Y2…Tchebyshev1Integer Tchebyshev2Integer Plot App menu PlotodeExpr, Var1, Var2, X0, Y0PlotlistX1, Y1, X2, Y2, … Function app functions Spreadsheet app functions Solve app functionsSOLVEEn,var,guess SOLVEX2-X-2,X,3returns2 =STAT1A25A37 FunctionNameinput,optional Parameters=STAT1A25A37,h n As in SUMB7C23 For example, AVERAGEB7B23 returns the arithmetic Calculates the arithmetic mean of a range of numbersSpecify a block of cells, as in AVERAGB7C23 Finance app Columns are multiplied to generate a data point Second column is treated as the weight of the firstSet to Place column headers Place row headers Serr REGRSInput range,model, configuration STAT1A25A37STAT1A25A37,h n x σ Example REGRSA25B37,2 PredX PredYPredYmode, x, parameters PredXmode, y, parameters HypZ1mean x, n,μ0,σ,α,mode, configuration HypZ1mean The one-sample Z-test for a meanHypZ1mean0.461368, 50, 0.5, 0.2887, 0.05 HypZ1prop HypZ2mean0.461368, 0.522851, 50, 50, 0.2887, 0.2887, 0.05HypZ1propx,n,π0,α,mode HypZ1prop21, 50, 0.5, 0.05,1 HypZ2prop HypT1mean x ,s,n,μ0, α,mode,configuration Mode Specifies which alternative hypothesis to use ≠ μ0HypT1mean The one-sample t-test for a mean HypZ2prop21, 26, 50, 50, 0.05 ConfZ1mean x ,n,s, C,configuration HypT2meanx1,x2,s1,s2, n1,n2, α,pooled,mode, configuration ConfZ1propx,n,C,configuration ConfZ2mean x1, x2, n1, n2,s1,s2,C, configurationConfZ1mean0.461368, 50, 0.2887 ConfZ2mean0.461368, 0.522851, 50, 50, 0.2887, 0.2887 ConfZ2prop ConfT1meanConfZ1prop21, 50 Statistics 1Var app functions ConfT2mean x1, x2, s1,s2,n1, n2,C,pooled, configurationConfT1mean0.461368, 0.2776, 50 ConfT2mean0.461368, 0.522851, 0.2776, 0.2943, 50, 50, 0 Do1VStats SetFreqSetSample Resid Statistics 2Var app functionsDo2VStats SetDepend SetIndep Inference app functionsDoInference HypZ1mean Test π value Critical value of π associated with the critical Z-valueHypZ2mean x1, x2, n1, n2,σ1,σ2,α,mode Order HypT1meanTest Δπ value Critical value of the statistic associated with HypT2meanx1,x2,s1,s2, n1,n2, α,pooled,mode ConfZ1mean ConfZ2meanConfZ1prop Two proportions. Returns a list containing in order CalcFV Finance app functionsSolves for the future value of an investment or loan CalcFVNbPmt,IPYR,PV,PMTV,PPYR,CPYR,BEG CalcNbPmt CalcIPYRCalcPMT CalcPV Triangle Solver app functions Linear Solver app functionsSolve2x2 Solve3x3 ASAangle,side,angle AASangle,angle,sideSASside,angle,side SSAside,side,angle Linear Explorer functions DoSolveSolveForYIntercept Common app functions Quadratic Explorer functionsSOLVEa, b, c DELTAa, b, c Function.CHECK1 Ctlg menuUNCHECKDigit Enter Sequence.UNCHECK2 Change Percent change from x to y. Returns 100*y-x/x Percent of y. Returns x/100*y Example List.Integer or Matrix.Integer List1.*List2 or Matrix1.*Matrix2Var=expression 3,4.*3,4,5,6 gives 3,8,15,24 A2q1,2,4,4,x,y returns x2+6*x*y+4*y2 A2qMatrix, Var1, Var2…AbcuvPolyA, PolyB, PolyC, Var Abcuvx2+2*x+1,x2-1,x+1 returns 1/2 -1/2 Append Appends an element to a list or vector CanonicalformQuadraticExpr,Var BasisMatrixCanonicalform2*x2-12*x+1 gives 2*x-32-17 CatObject1, Object2,… ColDim Returns the number of columns of a matrix Complexrootx3+8, 0.01 returns Companion Returns the companion matrix of a polynomial Contains0,1,2,3,2 returns ContainsList, Element or containsVector, ElementCopyVarVar1,Var2 CorrelationList or correlationMatrix Returns Enters the mathematical constant e Euler’s number Eval Evaluates an expression Eigenvals Returns the sequence of eigenvalues of a matrix EvalfExpr,Integer EvalcExprEvalf2/3 gives Even1251 returns ExprX+10 returns 100, if the variable X has the value Expr Parses the string String into a number or expression FMax-x2+2*x+1,x gives FMaxExpr,VarFMinExpr,Var FMinx2-2*x+1,x gives FunctiondiffFnc FsolveExpr,Var,Guess or Interval,MethodFunctiondiffsin gives x→cosx GaussExpr,VectVar Halftanhyp2expExprTrig GramschmidtVector, FunctionHalftanhyp2expsinx+sinhx returns HamdistInteger1, Integer2 Icontent24x3+6x2-12x+18 gives IcontentPoly,VarHead1,2,3 gives HeavisideReal Inv Returns the inverse of an expression or matrix Interval2center Returns the center of an interval Jacobisymbol132,5 gives JacobisymbolInteger1, Integer2IPartReal or iPartList IPart4.3 returns Lin Returns an expression with the exponentials linearized Logb Returns the logarithm of base b of a Lname Returns a list of the variables in an expression Mat2list Returns a list containing the elements of a matrix Lvar Returns a list of variables used in an expression Mean1,2,3,1,2,3 gives 7/3 MeanList1, List2 or meanMatrixMedianList1, List2 or medianMatrix Median1,2,3,5,10,4 gives Modgcdx4-1,x-12 gives ModgcdPoly1,Poly2MRowExpr, Matrix, Integer MultcconjugateExpr NormalExpr NDerivfx,x,h returns fx+h-fx-h*0.5/hNormal2*x*2 gives 4*x NormalizeVector or normalizeComplex PIECEWISE⎪ PI Inserts π Plotparamcost+i*sint, t=0..2*π plots the unit circle PlotparamfVar+i*gVar, Var= IntervalPlotpolarExpr,Var=Interval Plotpolarπ/2x, x=-π..π plots a partial spiral Polecircle0, 1, line1+i, 2 returns point1/2,1/2 PoleCrcle,LinePOLYCOEFVector or POLYCOEFList POLYCOEF-1, 1 returns 1, 0 PolynomialregressionList1, List2, Integer PolygonscatterplotMatrixPolynomialregression1, 2, 3, 4, 1, 4, 9, 16,3 returns 0 1 0 POLYROOTPoly or POLYROOTVector Powerregression1, 2, 3, 4, 1, 4, 9, 16 returns 2 PowerregressionList1, List2Powerpccircle0,1+i,3+i gives Prepend1,2,3 gives 3,1,2 Purge Unassigns a variable name Quote Returns an expression unevaluated ⎠ returns RefMatrix Reducedconicx2+2*x-2*y+1 returnsRemoveElement, Vector or removeElement, List Remove6,1 2 6 7 returns 1 2 Restart Purges all the variables Residue Returns the residue of an expression at a value Example Gives RowDim Returns the number of rows of a matrix Signature Returns the signature of a permutation Sqrt Returns the square root of an expression Sto Stores a real or string in a variable Transpose Returns a matrix transposed without conjugation Sylvester Returns the Sylvester matrix of two polynomials Type Returns the type of an expression e.g. list, string Returns the square of an expression When Used to introduce a conditional statement Creating your own functions Inserts the imaginary numberExpr Function field, enter the function. eAA+fABAC Variables Working with Home variables AaEResult is written to history Multiply a by Working with user variables Working with app variables AAxotwAS. Sq1o2 o3 EExample 3 You can also store objects in variables More about the Vars menu Qualifying variables Home variables Home variables are accessed by pressing aand Tapping Function app variables App variablesNumStart NumType NumStep NumZoom NumIndep AAngle ADigits AComplex AFormat Results variables Geometry app variables Spreadsheet app variables Category Names Symbolic PlotSolve app variables ColWidth RowHeight Advanced Graphing app variables NumXStartNumYStart NumType NumXStep NumXZoom NumYStep NumYZoom Statistics 1Var app variables MinVal NbItemMedVal MaxVal Statistics 2Var app variables CoefDet CorrSCov ΣCov Inference app variables SerrYContains the sum of the dependent values Y CritVal1 CritScoreCritVal2 Prob NumStart NumType NumStep NumZoom Parametric app variables Finance app variables Polar app variablesΘmin Recenter NumIndep NumType NumStart NumZoom NumStep Triangle Solver app variables Linear Solver app variablesLinear Explorer app variables Quadratic Explorer app variables Trig Explorer app variables Sequence app variablesCategory Names Modes Units Units and constantsUnit categories Length Acceleration Prefixes Unit calculationsUnits menu includes an entry that is not a unit Palette of prefixes +5 SF MKSA8.175cm/s returns .08175m*s-1 Unit tools Physical constants UFACTOR100C,1A returns 100A*sUSIMPLIFY5kg*m2/s2 returns 5J Value or measurement? Avogadro, NA List of constants 450 Create a list in the List Catalog Lists = or \ List Editor Buttons List EditorKeys =or \ To edit a list To insert an elementA list Lists in Home view Deleting listsTo delete a list To createa list Aj7 To store a listTo display a list To display one To send a list List functionsData on page 44 for instructions 2,3 returns 5,10,15 Sort Make ListMenu format Aajo Reverse Concatenate Position Size Aj5 E Aj5E Aj1E Finding statistical values for listsAj1 Ad1E Beginning on page 211, for the meaning of each statistic Matrices VectorsMatrices POLYROOT1,0,-1,0M1 Creating and storing matrices Working with matrices EditorMatrix Editor To create a matrix in the Matrix Editor Matrices in Home ViewTo store a matrix To display a matrix R1o2 Matrix arithmeticTo send a matrix Matrixnamerow,column HAQ1 + E3 ETo multiply Divide by a scalar AQ1sA AQ1k5AQ1kQ Q1 n AQ2 Solving systems of linear equations 1E1E Q1E 2E3E Tap in cell R1, C3 E4EQ1 Matrix functions and commands CommandsSns AQ1E Argument conventions Matrix functionsTRN matrix TRN ⎜ Rref Rref matrix3,2,3,4 IDENMATsize 0 JordanBlock7,3 returns 0 7 1 0 0 JordanBlockExpr,nHilbertn Cos1 -sin1sin1 cos1 Rownorm ⎜ Specrad ⎜ Specnorm ⎜Cond Rank 37228… -0.37228… EIGENVALmatrixEigenvv matrix Eigenvv Example CAS view CholeskymatrixCholesky ⎜ IhermiteMtrxA 278 HessenbergMtrxAIsmithMtrxA Ismith ⎜ LSQ LSQmatrix1, matrix2P*A=L*U LUmatrix SCHURmatrix QRmatrix A,var1,var2Example Schur ⎛⎜ 1 2 ⎞⎟ returns SVD ⎝ Cross 1 2 , 3 4 returns 4649… 0.3659…DOT 1 2 , 3 4 returns L2normVect Examples MaxnormVect or MtrxMaxnorm 1 2 3 -4 returns + y z = 5 2x y = 2y + z = 488 Opens the selected note for Features. See belowEditing Begins a new note, To create a note from the Notes Catalog Rename renames the selected noteOpen the Note Catalog To create a note for an app Are adding or editing a note Keys With lowercase locked, make next character uppercase Make the next character upper-case Text formatting Inserting MathematicalExpressions Sharing notes Programming in HP PPL HP Prime Programs Command StructurePixon xposition, yposition Pixon xposition, yposition ,color Program Structure Comments Program CatalogExport Myprogam Begin END Program Catalog buttons and keys Open Program Catalog =or S\ Myprogram Creating a new program Or S=and Checks the current program for errors Program EditorStrings Drawing Matrix App Functions Integer More Press Jto return to the main menu Begin and END For N from 1 to 3 do Tap Myprogram to expand the menu and select Myprogram Run a Program Multi-function Debug a ProgramPrograms Parameters Program Catalog, select Edit a program Copy a program or part of a program 510 HP Prime programming language To share a programVariables and visibility Export Radius Export Getradius Begin Inputradius END Programming in HP PPL 513 Program Program RolldieExport Rolldien Return 1+RANDINTN-1 Rolldie L2roll+1 L2rollROLLDIEn Return 1+RANDINTn-1 END User mode User Keyboard Customizing key pressesBegin Return 1+RANDINTN-1 END Re-assigning keys Internal name of keys and key states Key names KDiv KAMath App programs Resets or Initializes an app Using dedicated program functions Redefining the View menuStarts an app View text, function Customizing an app DiceSimulation Tap Enter a name for the new app such as Export SIDES,ROLLS Export DiceSimulation Dicesimvars RolldieBegin END View Roll Dice,ROLLMANY Begin Repeat SidesSIDES= Floorsides If SIDES2 then Until Sides =4 STARTVIEW7,1 END STARTVIEW0,1 END STARTVIEW1,1 ENDExport ROLLS,SIDES Export Dicesimvars Begin Sides END Roll Dice Program commands Begin END Syntax Begin command1 command2… commandN END Commands under the Tmplt menu BlockBranch Export SQM1X Begin Return END Default commands END LoopCase MSGBOXMax of + max + factors for +result Export Maxfactorsn BeginMAXFACTORS100 Export Drawpattern Begin Rect END WaitExport ISPERFECTn Export Perfectnums Begin +1 d END Return sum==n ENDExport Sides Export Getsides Begin Repeat INPUTSIDES,Die Sides,N = ,Enter num sides,2 Function VariableExport Syntax Export var1, var2, …, varn Syntax Export FunctionName Char Syntax CHARvector or CHARinteger Commands under the Cmds menu Strings 666666666667 StringF1, when F1X Cosx = CosxString INSTRINGvanilla,van returns Instring banana,na returns Drawing Ymax Pixels and Cartesian GETPIXPG, x, y Getpix Syntax GETPIXG, x, yGrobh Syntax Grobhg Grobhpg Grobwpg INVERTPG, x1, y1, x2, y2PIXOFFPG, x, y PIXONPG, x, y ,color Pixon Syntax PIXONG, x, y ,color Wait END Export BOX Begin Rect RECTP40,90,#0 Local sign K=2 A=4 sign=−1 Rect TEXTOUTPN=,0,0 Export Piseries BeginTextoutppi APPROX=,0,30 Repeat +sign*4/2*K-1 a Until END Sign*-1 sign K+1 KAddcol Syntax ADDCOLmatrixname, vector, columnnumber Addrow Syntax ADDROWmatrixname, vector, rownumber Scale Syntax SCALEname, value, rownumber Replace Syntax REPLACEname, start, objectScaleadd Syntax Scaleadd name, value, row1, row2 SUB Syntax SUB name, start, end App Functions Bitand Syntax BITANDint1, int2, … intn Commands Bitsl Syntax BITSLint1 ,int2 →R Syntax B→R#integermGetbase Syntax GETBASE#integerm Example GETBITS#22122 returns #20h or →B Syntax R→Binteger Getbits Syntax GETBITS#integerSetbits Syntax SETBITS#integerm ,bits Choose Syntax CHOOSEvar, title, item1, item2,…,itemn Taps Example EDITMATM1 edits matrix M1 Getkey Syntax Getkey Editmat Syntax EDITMATmatrixvar Input Syntax INPUTvar ,title, label, help, reset Export Sides Export GetsidesBegin INPUTSIDES,D ie Sides,N = ,Enter num sides,2 END Export Areacalc Begin Msgbox Syntax MSGBOXexpression or string ,okcancel? Programming in HP PPL 553 More Executes the function or returns the variable usingCAS Syntax CAS.function or CAS.variable Execon Syntax EXECON&expr, List1, list2,… Example →HMS54.8763 returns 5452′34.68″ Example ITERATEX2, X, 2, 3 returnsEXECON&23+&1,1,5,16,4,5,6,7 returns 7,12 Variables and Programs Programming in HP PPL 557 Plot view variables App variablesAxes Cursor Hmin/Hmax GridLinesHwidth Labels Recenter S1mark-S5mark Nmin/NmaxSeqPlot Θmin/θmax Θstep Polar Tmin/Tmax TstepXtick Ytick Xmin/Xmax Ymin/Ymax Symbolic view variablesXzoom Yzoom F0...F9 H1...H5H1Type...H5Type R0...R9 S1...S5S1Type...S5Type Type X0, Y0...X9,Y9U0...U9 C0...C9 Numeric view variablesD0...D9 NumIndep  NumXStep where n  NumStep where n NumYStep where n  NumType-forAutomatic default  NumType-forBuildYourOwn  NumYZoom where n  NumXZoom where nInference app variables Alpha Conf Mean2 Mean1 Mean1  Mean2 Pooled  Pooled-for not pooled default Pooled-for pooled Difference of two means or two proportions, sets Finance app VariablesCPYR IPYR NbPmtNbPmt PMTV Linear Solver app variables TriangleSolver app AngleA SideCAngleB AngleC Home Settings Date HComplexTime Language Base EntryBits Signed Setup SymbolicAAngle AComplex  AFormat AFormat 580 Basic integer arithmetic Default base Binary, Octal, Decimal or Hex Changing the default base Mixed-base arithmetic Examples of integer arithmetic Integer manipulation These are described in Integer, beginning on Base functions Glossary Catalog Record using the Program Editor Matrix Two-dimensional array of real orVector One-dimensional array of real or Symbolic, and Symbolic Setup 590 To reset TroubleshootingCalculator not responding If the calculator does not turn on Status messages Operating limits Name in the index to find its Correct. Look up the functionProper syntax Apps, matrices, lists, notes, or 594 Federal Communications Commission notice Product regulatory informationModifications Cables 596 European Union Regulatory Notice 598 Chemical SubstancesParliament and the Council. a chemical information 600 Index Menu 324-347 settings 30, 55 view CAS 54370-371 Functions 118-122, 348 variables 366-369 299-301 606 Samples 514-516, 524-527 structure Zoom 88-94 points Polar app 70, 277-280 variables 215 Solve app 70, 259-266 functions 349 limitations 264 messages App 109, 558-579 CAS Types of 89-90