Hp Prime Graphing Calculator Manual do Utilizador

HP Prime Graphing Calculator User Guide

6 ContentsApp menu ...347Function app functions...

96 An introduction to HP appsPlot view: Summary of menu buttonsCommon operations in Plot Setup view This section covers only operations common to the

An introduction to HP apps 97configuration options are spread across two pages. Tap to move from the first to the second page, and to return to the

98 An introduction to HP appsPage 2S*MARK[Stats 2 Var only]Sets the graphic that will be used to represent a data point in a scatter plot. A different

An introduction to HP apps 99Graphing methodsThe HP Prime gives you the option of choosing one of three graphing methods. The methods are described be

100 An introduction to HP appsRestore default settings[Scope: Advanced Graphing, Function, Parametric, Polar, Sequence, Solve, Statistics 1 Var, Stati

An introduction to HP apps 101x-values will be 10, 10.1, 10.2, 10.3, 10.4, etc. (Zooming out does the opposite: 10, 10.4, 10,8, 11.2 etc. becomes10, 1

102 An introduction to HP appsThe zoom options are explained in the following table. EvaluatingYou can step through the table of evaluations in Numeri

An introduction to HP apps 1033. Tap . Numeric view is refreshed, with the value you entered in the first row and the result of the evaluation in a ce

104 An introduction to HP appsNumeric view: Summary of menu buttonsButton Purpose To modify the increment between consecutive values of the independen

An introduction to HP apps 105Common operations in Numeric Setup view [Scope: Advanced Graphing, Function, Parametric, Polar, Sequence]Press SM to ope

Contents 724 ListsCreate a list in the List Catalog ... 451The List Editor...

106 An introduction to HP appsTo help you set a starting number and increment that matches the current Plot view, tap .Restore default settingsTo rest

An introduction to HP apps 107To add a note to an app:1. O p e n t h e a p p.2. Press SI (Info). If a note has already been created for this app, it

108 An introduction to HP appsLike built-in apps, customized apps can be sent to another HP Prime calculator. This is explained in “Sharing data” on p

An introduction to HP apps 109Sequence app—see chapter 17, “Sequence app”, beginning on page 281.As well as cloning a built-in app—as described above—

110 An introduction to HP appsSuppose you are in Home view and want to retrieve the mean of a data set recently calculated in the Statistics 1Var app.

Function app 1116Function appThe Function app enables you to explore up to 10 real-valued, rectangular functions of y in terms of x; for example, and

112 Function appOpen the Function app1. Open the Function app.I Select FunctionRecall that you can open an app just by tapping its icon. You can also

Function app 1135. Decide if you want to:– give one or more function a custom color when it is plotted– evaluate a dependent function– deselect a defi

114 Function appTrace a graphBy default, the trace functionality is active. This enables you to move a cursor along a graph. If more than two graphs a

Function app 115• Use options on the Zoom menu to zoom in or out, horizontally or vertically, or both, etc.• Use options on the View menu (V) to selec

8 Contents28 Basic integer arithmeticThe default base...582Changing the default base..

116 Function appYou can also choose whether the table of data in Numeric view is automatically populated or whether it is populated by you typing in t

Function app 117expressions selected in Symbolic view: 1–x and (x–1)2–3. You can also scroll through the columns of the dependant variables (labeled F

118 Function appAnalyzing functionsThe Function menu ( ) in Plot view enables you to find roots, intersections, slopes, signed areas, and extrema for

Function app 119Note the button. If you tap this button, vertical and horizontal dotted lines are drawn through the current position of the tracer t

120 Function app3. Choose the function whose point of intersection with the currently selected function you wish to find. The coordinates of the inter

Function app 121To find the signed area between the two functionsWe’ll now find the area between the two functions in the range . 1. Ta p and select

122 Function appShortcut: When the Goto option is available, you can display the Go To screen simply by typing a number. The number you type appears o

Function app 123To access Function variablesThe Function variables are available in Home view and in the CAS, where they can be included as arguments

124 Function appSummary of FCN operationsOperation Description RootSelect Root to find the root of the current function nearest to the tracing cursor.

Advanced Graphing app 1257Advanced Graphing appThe Advanced Graphing app enables you to define and explore the graphs of symbolic open sentences in x,

Preface 9PrefaceManual conventionsThe following conventions are used in this manual to represent the keys that you press and the menu options that you

126 Advanced Graphing appGetting started with the Advanced Graphing appThe Advanced Graphing app uses the customary app views: Symbolic, Plot, and Num

Advanced Graphing app 127Open the app1. Open the Advanced Graphing app:I Select Advanced GraphingThe app opens in the Symbolic view.Define the open se

128 Advanced Graphing appSet up the plotYou can change the range of the x- and y-axes and the spacing of the interval marks along the axes.4. Display

Advanced Graphing app 1298. Tap . The definition as you entered it in Symbolic view appears at the bottom of the screen.9. Tap . The definition is now

130 Advanced Graphing appThe tracer does not extend beyond the current Plot view window. The table below contains brief descriptions of each option.Tr

Advanced Graphing app 131Numeric viewThe Numeric view of most HP apps is designed to explore 2-variable relations using numerical tables. Because the

132 Advanced Graphing appNumeric SetupAlthough you can configure the X- and Y-values shown in Numeric view by entering values and zooming in or out, y

Advanced Graphing app 133Trace Edge 16.Tap and select Edge.Now the table shows (if possible) pairs of values that make the relation true. By default,

134 Advanced Graphing appPlot GalleryA gallery of interesting graphs—and the equations that generated them—is provided with the calculator. You open t

Geometry 1358GeometryThe Geometry app enables you to draw and explore geometric constructions. A geometric construction can be composed of any number

10 Preface• Items you can select from a list, and characters on the entry line, are set in a non-proportional font, as follows:Function, Polar, Parame

136 GeometryPreparation 1. P r e s s SH.2. On the Home Setting screen set the number format to Fixed and the number of decimal places to 3.Open the

Geometry 137Add a tangent 8. We will now add a tangent to the curve, making point B the point of tangency: > More > Tangent9. Tap on point B, pr

138 Geometryfinger completes the move and deselects the point. In this case there is no way to cancel the move unless you have activated keyboard shor

Geometry 139point B (referred to as GB in Symbolic view) and the later is to constrained to the slope of C (referred to as GC in Symbolic view).19. Yo

140 Geometrytangent changes in Plot view, the value of the slope is automatically updated in Numeric view.26.With the new calculation highlighted in N

Geometry 141Trace the derivativePoint D is the point whose ordinate value matches the derivative of the curve at point B. It is easier to see how the

142 GeometryCreating or selecting an object always involves at least two steps: tap and press E. Only by pressing E do you confirm your intention to c

Geometry 143four vertices are named D, E, G, and H. Moreover, each of the six segments is also given a name: I, J, K, L, M, and N. These names are not

144 GeometryColoring objects An object is colored black by default (and cyan when it is selected). If you want to change the color of an object:1. Sel

Geometry 145Clearing an objectTo clear one object, select it and tap C. Note that an object is distinct from the points you entered to create it. Thus

Getting started 111Getting startedThe HP Prime Graphing Calculator is an easy-to-use yet powerful graphing calculator designed for secondary mathemati

146 GeometryPlot view: buttons and keysPlot Setup viewThe Plot Setup view enables you to configure the appearance of Plot view and to take advantage o

Geometry 147The fields and options are:• X Rng: Two fields for entering the minimum and maximum x-values, thereby giving the default horizontal range.

148 GeometrySymbolic view in detailEvery object—whether a point, segment, line, polygon, or curve—is given a name, and its definition is displayed in

Geometry 149NoteCalculations referencing geometry variables can be made in the CAS or in the Numeric view of the Geometry app (explained below on page

150 GeometryDeleting an objectAs well as deleting an object in Plot view (see page 145) you can delete an object in Symbolic view.1. Highlight the def

Geometry 151You could have entered the command and object name manually, that is, without choosing them from menus. If you enter object names manually

152 Geometrygrouped according to their type, with each group given its own menu.If you are building a calculation, you can select an object from one o

Geometry 153Geometric objectsThe geometric objects discussed in this section are those that can be created in Plot view. Objects can also be created i

154 Geometryplaced on a circle will remain on that circle regardless of how you move the point.If there is no object where you tap, a point is created

Geometry 155Erase Trace Erases all trace lines, but leaves the definition of the trace points in Symbolic view. While a Trace definition is still in S

12 Getting startedWhen the calculator is on, a battery symbol appears in the title bar of the screen. Its appearance will indicate how much power the

156 GeometryLineSegment Tap where you want one endpoint to be and press E. Tap where you want the other endpoint to be and press E. A segment is drawn

Geometry 157Parallel Tap on a point (P) and press E. Tap on a line (L) and press E. A new line is draw parallel to L and passing through P.Perpendicul

158 Geometryfour vertices are automatically calculated and the regular hexagon is drawn.SpecialEq. triangle Produces an equilateral triangle. Tap at o

Geometry 159SpecialCircumcircle A circumcircle is the circle that passes through each of the triangle’s three vertices, thus enclosing the triangle. T

160 GeometryLocus Takes two points as its arguments: the first is the point whose possible locations form the locus; the second is a point on an objec

Geometry 161Geometric transformationsThe Transform menu—displayed by tapping —provides numerous tools for you to perform transformations on geometric

162 GeometryReflection A reflection is a transformation which maps an object or set of points onto its mirror image, where the mirror is either a poin

Geometry 163Rotation A rotation is a mapping that rotates each point by a fixed angle around a center point. The angle is defined using the angle() co

164 Geometrylengths of the corresponding segments. If k=1, then the lengths CA and CA’ are reciprocals. Suppose you wish to find the inversion of a ci

Geometry 165Geometry functions and commandsThe list of geometry-specific functions and commands in this section covers those that can be found by tapp

Getting started 13The Home View Home view is the starting point for many calculations. Most mathematical functions are available in the Home view. Som

166 GeometrycenterReturns the center of a circle.center(circle)Example: center(circle(x2+y2–x–y)) gives point(1/2,1/2)division_pointFor two points A a

Geometry 167isobarycenterReturns the hypothetical center of mass of a set of points. Works like barycenter but assumes that all points have equal weig

168 Geometrypoint2dRandomly re-distributes a set of points such that, for each point, x ∈ [–5,5] and y ∈ [–5,5]. Any further movement of one of th

Geometry 169bisectorGiven three points, creates the bisector of the angle defined by the three points whose vertex is at the first point. The angle do

170 Geometrymedian_lineGiven three points that define a triangle, creates the median of the triangle that passes through the first point and contains

Geometry 171perpendicularDraws a line through a given point that is perpendicular to a given line. The line may be defined by its name, two points, or

172 GeometryPolygonequilateral_triangleDraws an equilateral triangle defined by one of its sides; that is, by two consecutive vertices. The third poin

Geometry 173isosceles_triangleDraws an isosceles triangle defined by two of its vertices and an angle. The vertices define one of the two sides equal

174 GeometrypolygonDraws a polygon from a set of vertices.polygon(point1, point2, …, pointn)Example:polygon(GA, GB, GD) draws ΔABDquadrilateralDraws a

Geometry 175Examplerhombus(GA, GB, angle(GC, GD, GE)) draws a rhombus on segment AB such that the angle at vertex A has the same measure as ∡ DCE.righ

14 Getting startedSections of the displayHome view has four sections (shown above). The title bar shows either the screen name or the name of the app

176 GeometryCurvefunctionDraws the plot of a function, given an expression in the independent variable x. Note the use of lowercase x. plotfunc(Expr)E

Geometry 177ellipseDraws an ellipse, given the foci and either a point on the ellipse or a scalar that is one half the constant sum of the distances f

178 GeometryincircleDraws the incircle of a triangle, the circle tangent to all three sides of the triangle.incircle(point1, point2, point3)Example:in

Geometry 179inversionDraws the inversion of a point, with respect to another point, by a scale factor. inversion(point1, realk, point2)Example:inversi

180 GeometryrotationRotates a geometric object, about a given center point, through a given angle.rotate(point, angle, object)Example:rotate(GA, angle

Geometry 181Measure PlotangleatUsed in Symbolic view. Given the three points of an angle and a fourth point as a location, displays the measure of the

182 GeometrydistanceatrawWorks the same as distanceat, but without the label.perimeteratUsed in Symbolic view. Displays the perimeter of a polygon or

Geometry 183affixReturns the coordinates of a point or both the x- and y-lengths of a vector as a complex number.affix(point) or affix(vector)Example:

184 GeometryExamples:If GA is defined to be the unit circle, then area(GA) returns .area(4-x^2/4, x=-4..4) returns 14.666…coordinatesGiven a vector o

Geometry 185equationReturns the Cartesian equation of a curve in x and y, or the Cartesian coordinates of a point.equation(curve) or equation(point)Ex

Getting started 15CAS [White] You are working in CAS view, not Home view. [orange] In Home viewThe Alpha key is active. The charac-ter shown in orange

186 GeometryIf GA is the point at (0, 0), GB is the point at (1, 0), and GC is defined as square(GA, GB-GA), then perimeter(GC) returns 4.radiusReturn

Geometry 187is_elementTests if a point is on a geometric object. Returns 1 if it is and 0 otherwiseis_element(point, object)Example:is_element(point ,

188 Geometryis_parallelTests whether or not two lines are parallel. Returns 1 if they are and 0 otherwise.is_parallel(line1, line2)Example:is_parallel

Geometry 189is_squareTests whether or not a set of four points are vertices of a square. Returns 1 if they are and 0 otherwise.is_square(point1, point

190 GeometryExample:harmonic_division(point(0, 0), point(3, 0), point(4, 0), p) returns point(12/5, 0) and stores it in the variable pis_harmonicTests

Geometry 191LineHorzDraws the horizontal line y=a.LineHorz(a)Example:LineHorz(-2) draws the horizontal line whose equation is y = –2LineVertDraws the

192 GeometrypoleReturns the pole of the given line with respect to the given circle.pole(circle, line)Example:pole(circle(x^2+y^2=1), line(x=3)) retur

Geometry 193single_interReturns the intersection of curve1 and curve2 that is closest to point.single_inter(curve1, curve2, point)Example:single_inter

194 Geometry

Spreadsheet 1959SpreadsheetThe Spreadsheet app provides a grid of cells for you to enter content (such as numbers, text, expressions, and so on) and t

Edition1Part Number NW280-2001Legal NoticesThis manual and any examples contained herein are provided "as is" and are subject to change wi

16 Getting startedNavigationThe HP Prime offers two modes of navigation: touch and keys. In many cases, you can tap on an icon, field, menu, or object

196 Spreadsheet3. Enter PRICE and tap . You have named the entire first column PRICE.4. Select column B. Either tap on B or use the cursor keys to hi

Spreadsheet 19711. To delete the dummy values, select cell A1, tap , press \ until all the dummy values are selected, and then press C.12. Select cel

198 Spreadsheet23. Enter a label for your fixed costs:S.ANCOSTSE24.In cell D5, enter 100. This is what you have to pay the landowner for renting the s

Spreadsheet 19932.Tap and select Color.33.Choose a color for the contents of the selected cells.34.Tap and select Fill.35.Choose a color for the b

200 SpreadsheetCell referencesYou can refer to the value of a cell in formulas as if it were a variable. A cell is referenced by its column and row co

Spreadsheet 201The following is a more complex example involving the naming of an entire column.1. Select cell A (that is the header cell for column A

202 Spreadsheetunderlying formula that generates the value, move your cursor to the cell. The entry line shows a formula if there is one.A single form

Spreadsheet 203The column is filled with the data from the statistics app, starting with the cell selected at step 1. Any data in that column will be

204 SpreadsheetThere are additional spreadsheet functions that you can use (mostly related to finance and statistics calculations). See “Spreadsheet a

Spreadsheet 205Referencing variablesAny variable can be inserted in a cell. This includes Home variables, App variables, CAS variables and user variab

Getting started 17Touch gesturesIn addition to selection by tapping, there are other touch-related operations available to you:To quickly move from pa

206 SpreadsheetUsing the CAS in spreadsheet calculationsYou can force a spreadsheet calculation to be performed by the CAS, thereby ensuring that resu

Spreadsheet 207Buttons and keysButton or key Purpose Activates the entry line for you to edit the object in the selected cell. (Only visible if the se

208 SpreadsheetFormatting optionsThe formatting options appear when you tap . They apply to whatever is currently selected: a cell, block, column, ro

Spreadsheet 209Format ParametersEach format attribute is represented by a parameter that can be referenced in a formula. For example, =D1(1) returns t

210 Spreadsheetrelevant cell. For example, wherever it is placed g5(1):=6543 enters 6543 in cell g5. Any previous content in g5 is replaced. Similarly

Statistics 1Var app 21110Statistics 1Var appThe Statistics 1Var app can store up to ten data sets at one time. It can perform one-variable statistical

212 Statistics 1Var app2. Enter the measurement data in column D1:160 E 165 E170 E 175 E180 E3. Find the mean of the sample. Tap to see the st

Statistics 1Var app 213represent the data in Plot view: Histogram, Box and Whisker, Normal Probability, Line, Bar, or Pareto.Symbolic view: menu items

214 Statistics 1Var app7. Enter the name of the column that you will contain the frequencies (in this example, D2): 2 8. If you want to choose a colo

Statistics 1Var app 21513. Configure a histogram plot for the data.SP ((Setup) Enter parameters appropriate to your data. Those shown at the right wil

18 Getting startedThe keyboardThe numbers in the legend below refer to the parts of the keyboard described in the illustration on the next page.Number

216 Statistics 1Var app1Var app open, return to Home view and enter Spreadsheet.A1:A10 D7 E. Whichever method you use, the data you enter is automati

Statistics 1Var app 217Delete data • To delete a data item, highlight it and press C. The values below the deleted cell will scroll up one row.• To de

218 Statistics 1Var appyou want to sort by income, then you make C2 the independent column and C1 the dependent column.4. Specify any frequency data c

Statistics 1Var app 219PlottingYou can plot:• Histograms• Box-and-Whisker plots• Normal Probability plots• Line plots• Bar graphs• Pareto chartsOnce y

220 Statistics 1Var appthat bin is 6. The data set is defined by H3 in Symbolic view. You can see information about other bins by pressing > or <

Statistics 1Var app 221Pareto chart A pareto chart places the data in descending order and displays each with its percentage of the whole.Setting up t

222 Statistics 1Var appPlot view: menu itemsThe menu items you can tap on in Plot view are:Button Purpose Displays the Zoom menu.Turns trace mode on o

Statistics 2Var app 22311Statistics 2Var appThe Statistics 2Var app can store up to ten data sets at one time. It can perform two-variable statistical

224 Statistics 2Var appOpen the Statistics 2Var app1. Open the Statistics 2Var app:I Select Statistics 2Var. Enter data 2. Enter the advertising minut

Statistics 2Var app 2255. Select a fit:From the Type 1 field select a fit. In this example, select Linear.6. If you want to choose a color for the gra

Getting started 19Context-sensitive menu A context-sensitive menu occupies the bottom line of the screen.The options available depend on the context,

226 Statistics 2Var app10.Find the mean sales ().The mean sales, , is approximately $1, 7 9 6 .Press to return to Numeric view. Setup plot 11. Chang

Statistics 2Var app 227Display the equation13. Return to the Symbolic view. YNote the expression in the Fit1 field. It shows that the slope (m) of the

228 Statistics 2Var appThe cursor jumps from whatever data point it was on to the regression curve.16. Tap on the regression line near x = 6 (near the

Statistics 2Var app 229Whichever method you use, the data you enter is automatically saved. You can leave this app and come back to it later. You will

230 Statistics 2Var appDelete data • To delete a data item, highlight it and press C. The values below the deleted cell will scroll up one row.• To de

Statistics 2Var app 231Defining a regression modelYou define a regression model in Symbolic view. There are three ways to do so:• Accept the default o

232 Statistics 2Var appTo define your own fit1. P r e s sYto display the Symbolic view. 2. For the analysis you are interested in (S1 through S5), sel

Statistics 2Var app 233Computed statisticsWhen you tap , three sets of statistics become available. By default, the statistics involving both the ind

234 Statistics 2Var appThe statistics displayed when you tap are:The statistics displayed when you tap are:Plotting statistical dataOnce you have

Statistics 2Var app 235necessary), the X Rng and Y Rng fields in Plot Setup view. (SP).3. PressP. If the data set and regression line are not ideally

20 Getting startedThere are two types of buttons on the context-sensitive menu:• menu button: tap to display a pop-up menu. These buttons have square

236 Statistics 2Var apppress \ a fourth time, you will return to the S1 scatter plot. If you are confused as to what you are tracing, just tap to se

Statistics 2Var app 237Predicting valuesPredX is a function that predicts a value for X given a value for Y. Likewise, PredY is a function that predic

238 Statistics 2Var appTipIn cases where more than one fit curve is displayed, the PredX and PredY functions use the first active fit defined in Symbo

Inference app 23912Inference appThe Inference app enables you to calculate confidence intervals and undertake hypothesis tests based on the Normal Z-d

240 Inference appSymbolic view optionsThe table below summarizes the options available in Symbolic view for the two inference methods: hypothesis test

Inference app 241Select the inference method2. Hypothesis Test is the default inference method. If it is not selected, tap on the Method field and sel

242 Inference appThe Numeric view is where you enter the sample statistics and population parameters for the situation you are examining. The sample d

Inference app 243Importing statisticsThe Inference app can calculate confidence intervals and test hypotheses based on data in the Statistics 1Var and

244 Inference appCalculate statistics4. Calculate statistics:The statistics calculated will now be imported into the Inference app.5. Tap to close th

Inference app 24511. From t h e App field select the statistics app that has the data you want to import. 12. I n t h e Column field specify the c

Getting started 21Sv Relations palette: Displays a palette of comparison operators and Bool-ean operators.Sr Special symbols palette: Displays a palet

246 Inference appThe HP Prime hypothesis tests use the Normal Z-distribution or the Student’s t-distribution to calculate probabilities. If you wish t

Inference app 247Results The results are:Two-Sample Z-TestMenu name Z-Test: 1 – 2On the basis of two samples, each from a separate population, this

248 Inference appResults The results are:One-Proportion Z-TestMenu name Z-Test: On the basis of statistics from a single sample, this test measures

Inference app 249Results The results are:Two-Proportion Z-TestMenu name Z-Test: 1– 2On the basis of statistics from two samples, each from a differe

250 Inference appResults The results are:One-Sample T-TestMenu name T-Test: 1 This test is used when the population standard deviation is not known.

Inference app 251Inputs The inputs are:Results The results are:Two-Sample T-TestMenu name T-Test: 1 – 2This test is used when the population standar

252 Inference appInputs The inputs are:Results The results are:Field nameDefinitionSample 1 meanSample 2 means1Sample 1 standard deviations2Sample 2 s

Inference app 253Confidence intervalsThe confidence interval calculations that the HP Prime can perform are based on the Normal Z-distribution or Stud

254 Inference appInputs The inputs are:Results The results are:One-Proportion Z-IntervalMenu name Z-Int: 1This option uses the Normal Z-distribution

Inference app 255Results The results are:Two-Proportion Z-IntervalMenu name Z-Int: 1 – 2This option uses the Normal Z-distribution to calculate a co

22 Getting startedShift keysThere are two shift keys that you use to access the operations and characters printed on the bottom of the keys: S and A.S

256 Inference appOne-Sample T-IntervalMenu name T-Int: 1 This option uses the Student’s t-distribution to calculate a confidence interval for , the

Inference app 257Inputs The inputs are:Results The results are:Result DefinitionSample 1 meanSample 2 means1Sample 1 standard deviations2Sample 2 stan

258 Inference app

Solve app 25913Solve appThe Solve app enables you to define up to ten equations or expressions each with as many variables as you like. You can solve

260 Solve appOne equationSuppose you want to find the acceleration needed to increase the speed of a car from 16.67 m/s (60 kph) to 27.78 m/s (100 kph

Solve app 261Enter known variables4. Display the Numeric view. M Here you specify the values of the known variables, highlight the variable that you

262 Solve appPlot the equationThe Plot view shows one graph for each side of the solved equation. You can choose any of the variables to be the indepe

Solve app 263NoteBy dragging a finger horizontally or vertically across the screen, you can quickly see parts of the plot that are initially outside t

264 Solve appvariables, or let the calculator provide a solution. (Typically a seed value is a value that directs the calculator to provide, if possib

Solve app 265Solution informationWhen you are solving a single equation, the button appears on the menu after you tap . Tapping displays a messag

Getting started 23Adding textThe text you can enter directly is shown by the orange characters on the keys. These characters can only be entered in co

266 Solve appCannot find solutionNo values satisfy the selected equation or expression.Bad Guess(es)The initial guess lies outside the domain of the e

Linear Solver app 26714Linear Solver appThe Linear Solver app enables you to solve a set of linear equations. The set can contain two or three linear

268 Linear Solver appNoteIf the last time you used the Linear Solver app you solved for two equations, the two-equation input form is displayed. To so

Linear Solver app 269Solve a two-by-two systemIf the three-equation input form is displayed and you want to solve a two-equation set, tap .NoteYou can

270 Linear Solver app

Parametric app 27115Parametric appThe Parametric app enables you to explore parametric equations. These are equations in which both x and y are define

272 Parametric appThe graphical and numerical data you see in Plot view and Numeric view are derived from the symbolic functions defined here.Define t

Parametric app 273Set the angle measureSet the angle measure to degrees:5.SY (Settings)6. Tap the Angle Measure field and select Degrees.You could als

274 Parametric appExplore the graphThe menu button gives you access to common tools for exploring plots:: displays a range of zoom options. (The + and

Parametric app 275Display the numeric view15. D i s p l a y the Numeric view:M 16. With the cursor in the T column, type a new value and tap .The tabl

24 Getting startedMath keysThe most common math functions have their own keys on the keyboard (or a key in combination with the S key).Example 1: To c

276 Parametric app

Polar app 27716Polar appThe Polar app enables you to explore polar equations. Polar equations are equations in which r—the distance a point is from th

278 Polar app3. Define the expression 5cos(/2)cos()2.5Szfdn2>>fd>jENotice how the d key enters whatever variable is relevant to the curren

Polar app 2798. Set up the plot by specifying appropriate graphing options. In this example, set the upper limit of the range of the independent varia

280 Polar appIf only one polar equation is plotted, you can see the equation that generated the plot by tapping . If there are several equations plot

Sequence app 28117Sequence appThe Sequence app provides you with various ways to explore sequences.You can define a sequence named, for example, U1:•

282 Sequence appOpen the Sequence app1. Open the Sequence app:I Select Sequence The app opens in Symbolic view.Define the expression2. Define the Fibo

Sequence app 2836. Select Stairstep from the Seq Plot menu.7. Set the X Rng maximum, and the YRng maximum, to 8 (as shown at the right).Plot the seque

284 Sequence appDisplay Numeric view11. Display Numeric view:M 12. Wi t h t h e cu r so r anywhere in the N column, type a new value and tap .The ta

Sequence app 285Set up the table of valuesThe Numeric Setup view provides options common to most of the graphing apps, although there is no zoom facto

Getting started 25Example: Suppose you want to find the cube root of 945:1. In Home view, press F.2. Select .The skeleton or framework for your calcul

286 Sequence appPlot the sequence6. Plot the sequence:PPress E to see the dotted lines in the figure to the right. Press it again to hide the dotted l

Finance app 28718Finance appThe Finance app enables you to solve time-value-of-money (TVM) and amortization problems. You can use the app to do compou

288 Finance app3. In the I%/YR field, type 5.5—the interest rate—and press E.4. In PV field, type 19500w 3000 and press E. This is the present value o

Finance app 289The PV value is calculated as 15,705.85, this being the maximum you can borrow. Thus, with your $3,000 deposit, you can afford a car wi

290 Finance appThe following cash flow diagram shows a loan from the lender's point of view:Time value of money (TVM)Time-value-of-money (TVM) ca

Finance app 291There are seven TVM variables:TVM calculations: Another exampleSuppose you have taken out a 30-year, $150,000 house mortgage at 6.5% an

292 Finance apppayment. Find the size of the balloon payment—that is, the value of the mortgage after 10 years of payment.The following cash flow diag

Finance app 293Calculating amortizationsAmortization calculations determine the amounts applied towards the principal and interest in a payment, or se

294 Finance app2. Tap .3. Scroll down the table to payment group 10. Note that after 10 years, $22,835.53 has been paid off the principal and $90,936.

Finance app 295

Copyright © 2013 Hewlett-Packard Development Company, L.P.Reproduction, adaptation, or translation of this manual is prohibited without prior written

26 Getting starteddegrees; and enters ″ if the previous entry is a value in minutes. Thus entering:36Sc40Sc20Scyields 36°40′20″. See “Hexagesimal numb

Triangle Solver app 29519Triangle Solver appThe Triangle Solver app enables you to calculate the length of a side of a triangle, or the size of an ang

296 Triangle Solver app2. If there is unwanted data from a previous calculation, you can clear it all by pressing SJ (Clear).Set angle measureMake sur

Triangle Solver app 297Solve for the unknown values4. Tap . The app displays the values of the unknown variables. As the illustration at the right sho

298 Triangle Solver appSpecial casesThe indeterminate caseIf two sides and an adjacent acute angle are entered and there are two solutions, only one w

Triangle Solver app 299

The Explorer apps 29920The Explorer appsThere are three explorer apps. These are designed for you to explore the relationships between the parameters

300 The Explorer appsform of the equation being explored at the top and, below it, the current equation of that form. The keys you can use to manipula

The Explorer apps 301Equation mode Tap to enter equation mode. A dot will appear on the Eq button at the bottom of the screen. In equation mode, you

302 The Explorer appsQuadratic Explorer appThe Quadratic Explorer app can be used to investigate the behavior of as the values of a, h and v change.

The Explorer apps 303Choose a general form by tapping the Level button— , and so on—until the form you want is displayed. The keys available to you

Getting started 27Note that the degree and minute entries must be integers, and the minute and second entries must be positive. Decimals are not allow

304 The Explorer appsTrig Explorer appThe Trig Explorer app can be used to investigate the behavior of the graphs and as the values of a, b, c and

The Explorer apps 305Graph mode The app opens in graph mode. In graph mode, you manipulate a copy of the graph by pressing the cursor keys. All four k

306 The Explorer appsTest mode Tap to enter test mode. In test mode you test your skill at matching an equation to the graph shown. Test mode is lik

Functions and commands 30721Functions and commandsMany mathematical functions are available from the calculator’s keyboard. These are described in “Ke

308 Functions and commands– used in programming– used in the Matrix Editor– used in the List Editor– and some additional functions and commandsSee “Ct

Functions and commands 309Abbreviations used in this chapterIn describing the syntax of functions and commands, the following abbreviations and conven

310 Functions and commandsThe examples below show the results you would get in Home view. If you are in the CAS, the results are given in simplified s

Functions and commands 311efgSine, cosine, tangent. Inputs and outputs depend on the current angle format: degrees or radians.SIN(value)COS(value)TAN(

312 Functions and commandsSjSquare root. Also accepts complex numbers.)√valueExample:√320 returns 17.88854382kx raised to the power of y. Also accepts

Functions and commands 313Math menuPress D to open the Toolbox menus (one of which is the Math menu). The functions and commands available on the Math

28 Getting started5. Press EThe result is 8.0000E15. This is equivalent to 8 × 1015.MenusA menu offers you a choice of items. As in the case shown at

314 Functions and commandsROUND can also round to a number of significant digits if places is a negative integer (as shown in the second example below

Functions and commands 315press K. This opens the computer algebra system. If you want to return to Home view to make further calculations, press H.Mi

316 Functions and commandsReal Part Real part x, of a complex number, (x+y*i).RE(x+y*i)Example:RE(3+4*i) returns 3Imaginary Part Imaginary part, y, of

Functions and commands 317SEC Secant: 1/cosx.SEC(value)ASEC Arc secant.ASEC(value)COT Cotangent: cosx/sinx. COT(value)ACOT Arc cotangent.ACOT(value) H

318 Functions and commandsCombination The number of combinations (without regard to order) of n things taken r at a time.COMB(n,r)Example: Suppose you

Functions and commands 319Seed Sets the seed value on which the random functions operate. By specifying the same seed value on two or more calculators

320 Functions and commandsBinomial Binomial probability density function. Computes the probability of k successes out of n trials, each with a probabi

Functions and commands 321Cumulative distribution function. Returns the lower-tail probability of the probability density function for the value x,

322 Functions and commandsT Inverse cumulative Student's t distribution function. Returns the value x such that the Student's-t lower-tail p

Functions and commands 323MatrixThese functions work on matrix data stored in matrix variables. They are explained in detail in chapter 25, “Matrices”

Getting started 29To close a menu A menu will close automatically when you select an item from it. If you want to close a menu without selecting anyth

324 Functions and commandsCAS menuPress D to open the Toolbox menus (one of which is the CAS menu). The functions on the CAS menu are those most commo

Functions and commands 325Substitute Substitutes a value for a variable in an expression.Syntax: subst(Expr,Var=value)Example:subst(x/(4-x^2),x=3) ret

326 Functions and commandsCalculusDifferentiate With one expression as argument, returns derivative of the expression with respect to x. With one expr

Functions and commands 327Series Returns the series expansion of an expression in the vicinity of a given equality variable. With the optional third a

328 Functions and commandsGradient Returns the gradient of an expression. With a list of variables as second argument, returns the vector of partial d

Functions and commands 329F(b)–F(a) Returns F(b)–F(a).preval(Expr(F(var)),Real(a),Real(b),[Var])Example:preval(x^2-2,2,3) gives 5LimitsRiemann Sum Ret

330 Functions and commandsInverse Laplace Returns the inverse Laplace transform of an expression.invlaplace(Expr,[Var],[IlapVar])Example:ilaplace(1/(x

Functions and commands 331Zeros With an expression as argument, returns the real zeros of the expression; that is, the solutions when the expression i

332 Functions and commandsDifferentialEquationReturns the solution to a differential equation.deSolve(Eq,[TimeVar],Var)Example:desolve(y''+y

Functions and commands 333texpand Expands a transcendental expression.texpand(Expr)Example:texpand(sin(2*x)+exp(x+y)) returns exp(x)*exp(y)+ 2*cos(x)*

30 Getting startedReset input form fieldsTo reset a field to its default value, highlight the field and press C. To reset all fields to their default

334 Functions and commandsasinx → atanx Returns an expression with asin(x) rewritten as:asin2atan(Expr)Example:asin2atan(2*asin(x)) returnssinx → cosx

Functions and commands 335Tangentatanx → asinx Returns an expression with atan(x) rewritten as:atan2asin(Expr)Example:atan2asin(atan(2*x)) returnsatan

336 Functions and commandstrigx → cosx Returns an expression simplified using the formulas sin(x)^2+cos(x)^2=1 and tan(x)=sin(x)/cos(x). Cos(x) is giv

Functions and commands 337trigexpand Returns a trigonometric expression in expanded form.trigexpand(Expr)Example:trigexpand(sin(3*x)) gives (4*cos(x)^

338 Functions and commandsGCD Returns the greatest common divisor of two or more integers.gcd(Intgr1, Intgr2,…)Example:gcd(32,120,636) returns 4 LCM R

Functions and commands 339DivisionQuotient Returns the integer quotient of the Euclidean division of two integers.iquo(Intgr1, Intgr2)Example:iquo(63,

340 Functions and commandsCoefficients Given a polynomial in x, returns a vector containing the coefficients. If the polynomial is in a variable other

Functions and commands 341CreatePoly to Coef Given a polynomial, returns a vector containing the coefficients of the polynomial. With a variable as se

342 Functions and commandsRandom Returns a vector of the coefficients of a polynomial of degree Integer and where the coefficients are random integers

Functions and commands 343Degree Returns the degree of a polynomial.degree(Poly)Example:degree(x^3+x) gives 3Factor by Degree For a given polynomial i

Getting started 31Page 1Setting Options Angle Measure Degrees: 360 degrees in a circle.Radians: 2 radians in a circle.The angle mode you set is the a

344 Functions and commandsSpecialCyclotomic Returns the list of coefficients of the cyclotomic polynomial of an integer.cyclotomic(Integer)Example:cyc

Functions and commands 345Lagrange Given a vector of abscissas and a vector of ordinates, returns the Lagrange polynomial for the points specified in

346 Functions and commandsPlotFunction Used to define a function graph in the Symbolic view of the Geometry app. Plots the graph of an expression writ

Functions and commands 347ODE Used in the Symbolic view of the Geometry app. Draws the solution of the differential equation y’=f(x,y) that contains a

348 Functions and commandsFunction app functionsThe Function app functions provide the same functionality found in the Function app's Plot view u

Functions and commands 349Solve app functionsThe Solve app has a single function that solves a given equation or expression for one of its variables.

350 Functions and commandsThe syntax for many, but not all, the spreadsheet functions follows this pattern:functionName(input,[optional parameters])In

Functions and commands 351AVERAGE Calculates the arithmetic mean of a range of numbers.AVERAGE([input])For example, AVERAGE(B7:B23) returns the arithm

352 Functions and commandsSTAT1 The STAT1 function provides a range of one-variable statistics. It can calculate all or any of , Σ, Σ², s, s², σ, σ²,

Functions and commands 353For example if you specify "h n Σ x", the first column will contain row headers, the first row will be the number

32 Getting startedEntry Textbook: An expression is entered in much the same way as if you were writing it on paper (with some arguments above or below

354 Functions and commands7 y= L/(1 + a*exp(b*x))8y= a*sin(b*x+c)+d9y= cx^2+bx+a10 y= dx^3+cx^2+bx+a11 y = e x^4+dx^3+cx^2+bx+a• Configuration: a str

Functions and commands 355PredY Returns the predicted Y for a given x.PredY(mode, x, parameters)• Mode governs the regression model used:1 y= sl*x+int

356 Functions and commandsHypZ1mean The one-sample Z-test for a mean. HypZ1mean( , n,0,,,mode, [”configuration”])The input parameters can be a rang

Functions and commands 357Mode: Specifies which alternative hypothesis to use:• 1: 1 < 2• 2: 1 > 2• 3: 1 ≠ 2• Configuration: a string that

358 Functions and commands• Configuration: a string that controls what results are shown and the order in which they appear. An empty string "&qu

Functions and commands 359• prob: the lower-tail probability• cZ: The critical Z-value associated with the input α-level• cp1: The lower critical valu

360 Functions and commandsHypT2mean The two-sample T-test for the difference of two means.HypT2mean((x1,x2,s1,s2n1,n2,pooled,mode,[”configuration

Functions and commands 361• h: header cells will be created• Z: the critical Z-value• zXl: the lower bound of the confidence interval• zXh: the upper

362 Functions and commands• zXh: the upper bound of the confidence interval• zXm: the midpoint of the confidence interval• std: the standard deviation

Functions and commands 363Example:ConfT1mean(0.461368, 0.2776, 50, 0.95, "")ConfT2mean The two-sample Student’s T confidence interval for th

Getting started 33Page 2Decimal Mark Dot or Comma. Displays a number as 12456.98 (dot mode) or as 12456,98 (comma mode). Dot mode uses commas to separ

364 Functions and commandsDo1VStats Do1-variable statistics. Performs the same calculations as tapping in the Numeric view of the Statistics 1Var app

Functions and commands 365Statistics 2Var app functionsThe Statistics 2Var app has a number of functions. Some are designed to calculate summary stati

366 Functions and commandsSetIndep Set independent column. Sets the independent column for one of the statistical analyses S1-S5 to one of the column

Functions and commands 367Example:HypZ1mean(0.461368, 50, 0.5, 0.2887, 0.05, 1) returns {1, -.9462…, 0.4614, 0.8277…, 1.6448…, 0.5671…}HYPZ2mean The t

368 Functions and commandsMode: Specifies which alternative hypothesis to use:• 1:  < 0• 2:  > 0• 3:  ≠ 0Example:HypZ1prop(21, 50, 0.5, 0.

Functions and commands 369Mode: Specifies which alternative hypothesis to use:• 1:  < 0• 2:  > 0• 3:  ≠ 0Example:HypT1mean(0.461368, 0.277

370 Functions and commandsConfZ1mean The one-sample Normal confidence interval for a mean. Returns a list containing (in order):• The lower critical Z

Functions and commands 371ConfZ2prop The two-sample Normal confidence interval for the difference of two proportions. Returns a list containing (in or

372 Functions and commandsFinance app functionsThe Finance app uses a set of functions that all reference the same set of Finance app variables. These

Functions and commands 373CalcIPYR Solves for the interest rate per year of an investment or loan.CalcIPYR(NbPmt,PV,PMTV,FV[,PPYR,CPYR,BEG])Example:Ca

34 Getting startedPage 3 Page 3 of the Home Settings input form is for setting Exam mode. This mode enables certain functions of the calculator to be

374 Functions and commandsLinear Solver app functionsThe Linear Solver app has 3 functions that offer the user flexibility in solving 2x2 or 3x3 linea

Functions and commands 375AAS Angle-Angle-Side. Takes as arguments the measures of two angles and the length of the side opposite the first angle and

376 Functions and commandsSSS Side-Side-Side Takes as arguments the lengths of the three sides of a triangle and returns the measures of the angles op

Functions and commands 377Quadratic Explorer functionsSOLVE Solve quadratic. Given the coefficients of a quadratic equation ax2+bx+c=0, returns the re

378 Functions and commandsExample:With the Function app as the current app, CHECK(1) checks the Function app Symbolic view variable F1. The result is

Functions and commands 379described in “Keyboard functions” on page 309. Those that are also on the CAS menu are described in “CAS menu” on page 324.

380 Functions and commands+ Addition symbol. Returns the sum of two numbers, the term-by-term sum of two lists or two matrices, or adds two strings to

Functions and commands 381<> Inequality test. Returns 1 if the inequality is true, and 0 if the inequality is false.= Equality symbol. Connects

382 Functions and commandsalgvar Returns the matrix of the symbolic variable names used in an expression. The list is ordered by the algebraic extensi

Functions and commands 383basis Given a matrix, returns the basis of the linear subspace defined by the set of vectors in the matrix.basis(Matrix))Exa

Getting started 35Specifying a Home settingThis example demonstrates how to change the number format from the default setting—Standard—to Scientific w

384 Functions and commandscharpoly Returns the coefficients of the characteristic polynomial of a matrix. With only one argument, the variable used in

Functions and commands 385companion Returns the companion matrix of a polynomial.companion(Poly,Var)Example:companion(x^2+5x-7,x) returns compare Comp

386 Functions and commandscontains Given a list or vector and an element, returns the index of the first occurrence of the element in the list or vect

Functions and commands 387covariance_correlationReturns a vector containing both the covariance and the correlation of the elements of a list or matri

388 Functions and commandsdelcols Given a matrix and an integer n, deletes the nth column from the matrix and returns the result. If an interval of tw

Functions and commands 389egcd Given two polynomials, A and B, returns three polynomials U, V and D such that:U(x)*A(x)+V(x)*B(x)=D(x), where D(x)=GCD

390 Functions and commandsevalc Returns a complex expression written in the form real+i*imag.evalc(Expr)Example:evalc returns evalf Given an expressi

Functions and commands 391exponential_regressionGiven a set of points, returns a vector containing the coefficients a and b of y=b*a^x, the exponentia

392 Functions and commandsfMax Given an expression in x, returns the value of x for which the expression has its maximum value. Given an expression an

Functions and commands 393fsolve Returns the numerical solution of an equation or a system of equations. With the optional third argument you can spec

36 Getting startedMathematical calculationsThe most commonly used math operations are available from the keyboard (see “Math keys” on page 24). Access

394 Functions and commandsgramschmidt Given a basis of a vector subspace, and a function that defines a scalar product on this vector subspace, return

Functions and commands 395head Returns the first element of a given vector, sequence or string.head(Vector) or head(String) or head(Obj1, Obj2,…)Examp

396 Functions and commandsid Returns a vector containing the solution to the identity function for the argument(s).id(Object1, [Object2,…])Example:id(

Functions and commands 397iPart Returns a real number without its fractional part or a list of real numbers each without its fractional part.iPart(Rea

398 Functions and commandslength Returns the length of a list, string or set of objects.length(List) or length(String) or length(Object1, Object2,…)Ex

Functions and commands 399list2mat Returns a matrix of n columns made by splitting a list into rows, each containing n terms. If the number of element

400 Functions and commandslogistic_regressionReturns y, y', C, y'max, xmax, and R, where y is a logistic function (the solution of y'/y

Functions and commands 401Example:matpow([[1,2],[3,4]],n) gives [[(sqrt(33)-3)*((sqrt(33)+5)/2)^n*-6/(-12*sqrt(33))+(-(sqrt(33))-3)*((-(sqrt(33))+5)/2

402 Functions and commandsmodgcd Uses the modular algorithm to return the greatest common divisor of two polynomials.modgcd(Poly1,Poly2)Example:modgcd

Functions and commands 403nDeriv Given an expression, a variable of differentiation, and a real number h, returns an approximate value of the derivati

Getting started 37• RPN (Reverse Polish Notation). [Not available in CAS view.]The arguments of the expression are entered first followed by the opera

404 Functions and commandsorder_size Returns the remainder (O term) of a series expansion: limit(x^a*order_size(x),x=0)=0 if a>0. order_size(Expr)p

Functions and commands 405plotparam Used in the Geometry app Symbolic view. Takes a complex expression in one variable and an interval for that variab

406 Functions and commandspole Given a circle and a line, returns the point for which the line is polar with respect to the circle.pole(Crcle,Line)Exa

Functions and commands 407polygonscatterplot Used in the Geometry app Symbolic view. Given an n × m matrix, draws and connects the points (xk, yk), wh

408 Functions and commandspower_regression Given a set of points defined by two lists, returns a vector containing the coefficients m and b of y=b*x^m

Functions and commands 409propfrac Returns a fraction or rational fraction A/B simplified to Q+r/B, where R<B or the degree of R is less than the d

410 Functions and commandsquartile3 Given a list or vector, returns the third quartile of the elements of the list or vector. Given a matrix, returns

Functions and commands 411randperm Given a positive integer, returns a random permutation of [0,1,2,...,n–1].randperm(Intg(n))Example:randperm(4) retu

412 Functions and commandsreduced_conic Takes a conic expression and returns a vector with the following items:• The origin of the conic• The matrix o

Functions and commands 413residue Returns the residue of an expression at a value.residue(Expr, Var, Value)Example:residue(1/z,z,0) returns 1restart P

38 Getting startedIf you make a mistake while entering an expression, you can:• delete the character to the left of the cursor by pressing C• delete t

414 Functions and commandsrowAdd Given a matrix and two integers, returns the matrix obtained from the given matrix after the row indicated by the sec

Functions and commands 415select Given a Boolean expression in a single variable and a list or vector, tests each element in the list or vector and re

416 Functions and commandssimult Returns the solution to a system of linear equations or several systems of linear equations presented in matrix form.

Functions and commands 417stddevp Returns the population standard deviation of the elements of a list or a list of the population standard deviations

418 Functions and commandssylvester Returns the Sylvester matrix of two polynomials.sylvester(Poly1, Poly2, Var)Example:sylvester(x2-1,x3-1,x) givesta

Functions and commands 419trunc Given a value or list of values, as well as an integer n, returns the value or list truncated to n decimal places. If

420 Functions and commandsvpotential Given a vector V and a vector of variables, returns the vector U such that curl(U)=V.vpotential(Vector1, Vector2)

Functions and commands 421 Inserts a template for a summation expression. Inserts a minus sign. Inserts a square root sign. Inserts a template for

422 Functions and commands3. In the Function field, enter the function.eAA>+fAB>AC New fields appear below your function, one for each variable

Variables 42322VariablesVariables are objects that have names and contain data. They are used to store data, either for later use or to control settin

Getting started 39The following examples show the use of parentheses, and the use of the cursor keys to move outside a group of objects enclosed withi

424 Variablesyou evaluate that result (using the EVAL command), the CAS will now return {2,4,6}.User variables are explicitly created by the user. You

Variables 425Working with user variablesExample 2: Create a variable called ME and assign 2 to it.1. P r e s s H to display Home view.2. Assign 2

426 VariablesEntering HAngle:=0 E forces the setting to return to radians.You can see what value has been assigned to a variable—whether Home, app, or

Variables 427Qualifying variablesSome app variable names are shared by multiple apps. For example, the Function app has a variable named Xmin, but so

428 VariablesHome variablesThe Home variables are accessed by pressing a and tapping .Category Names Real A to Z and For example, 7.45 AComplex Z0

Variables 429App variablesThe app variables are accessed by pressing a and tapping . They are grouped below by app. (You can find then grouped by vie

430 VariablesResults variablesExtremum Contains the value from the last use of the Extremum function from the menu in the Plot view of the Function

Variables 431Spreadsheet app variablesSolve app variablesCategory NamesNumeric ColWidthRowCellRowHeightColModes AAngleAComplexADigitsAFormatCategory N

432 VariablesAdvanced Graphing app variablesCategory NamesSymbolic V1V2V3V4V5V6V7V8V9V0Plot AxesCursorGridDotsGridLinesLabelsRecenterXmaxXminXtickXzoo

Variables 433Statistics 1Var app variablesCategory NamesResults [explained below]NbItemMinValQ1MedValQ3MaxValXX2MeanXsXXserrXSymbolic H1H2H3H4H5H1T

40 Getting startedExplicit and implied multiplicationImplied multiplication takes place when two operands appear with no operator between them. If you

434 VariablesResultsNbItem Contains the number of data points in the current 1-variable analysis (H1-H5).MinVal Contains the minimum value of the data

Variables 435Statistics 2Var app variablesCategory NamesResults[explained below]NbItemCorrCoefDetsCovCovXYMeanXXX2sXXserrXMeanYYY2sYYserrYSymb

436 VariablesResultsNbItem Contains the number of data points in the current 2-variable analysis (S1-S5).Corr Contains the correlation coefficient fro

Variables 437Y Contains the sum of the dependent values (Y) of the current 2-variable statistical analysis (S1-S5).Y2 Contains the sum of the square

438 VariablesResultsCritScore Contains the value of the Z- or t-distribution associated with the input -valueCritVal1 Contains the lower critical val

Variables 439Parametric app variablesCategory Names Symbolic X1Y1X2Y2X3Y3X4Y4X5Y5X6Y6X7Y7X8Y8X9Y9X0Y0Plot AxesCursorGridDotsGridLinesLabelsMethodRecen

440 VariablesPolar app variablesFinance app variablesCategory Names Symbolic R1R2R3R4R5R6R7R8R9R0Plot minmaxstepAxesCursorGridDotsGridLinesLabelsMe

Variables 441Linear Solver app variablesTriangle Solver app variablesLinear Explorer app variablesQuadratic Explorer app variablesCategory NamesNumeri

442 VariablesTrig Explorer app variablesSequence app variablesCategory NamesModes AAngleAComplexADigitsAFormatCategory Names Symbolic U1U2U3U4U5U6U7U8

Units and constants 44323Units and constantsUnitsA unit of measurement—such as inch, ohm, or Becquerel—enables you to give a precise magnitude to a ph

Getting started 41TipPressing S= takes you straight to the very first entry in history, and pressing S\ takes you straight to the most recent entry.Us

444 Units and constantsPrefixes The Units menu includes an entry that is not a unit category, namely, Prefix. Selecting this option displays a palette

Units and constants 445Example Suppose you want to add 20 centimeters and 5 inches and have the result displayed in centimeters.1. If you want the res

446 Units and constants4. Now convert the result to kilometers per hour.SFSelect SpeedSelect km/hEThe result is shown as 0.2943 kilometers per hour.Un

Units and constants 447UFACTOR Unit factor conversion. Converts a measurement using a compound unit into a measurement expressed in constituent units.

448 Units and constants3. Select Physics.4. Select c: 299792458.5. Square the speed of light and evaluate the expression. jE Value or measurement?You

Units and constants 449List of constantsCategory Name and symbolMatheMAXREALMINREALiChemistryAvogadro, NABoltmann, kmolar volume, Vmuniversal gas, Rs

450 Units and constants

Lists 45124ListsA list consists of comma-separated real or complex numbers, expressions, or matrices, all enclosed in braces. A list may, for example,

452 Lists2. Tap on the name you want to assign to the new list (L1, L2, etc.). The list editor appears.If you’re creating a new list rather than chang

Lists 453The List EditorThe List Editor is a special environment for entering data into lists. There are two ways to open the List Editor once the Lis

42 Getting startedYou can repeat the previous calculation simply by pressing E. This can be useful if the previous calculation involved Ans. For examp

454 ListsTo edit a list 1. O p e n t h e Li s t Catalog.Sp(List)2. Tap on the name of the list (L1, L1,etc.). The List Editor appears. 3. Tap on th

Lists 455Select L1(2), that is, the second element in the list. 9 Deleting listsTo delete a list In the List Catalog, use the cursor keys to highlight

456 Lists4. When you have finished entering the elements, press E. The list is added to History (with any expressions among the elements evaluated).To

Lists 457To send a list You can send lists to another calculator or a PC just as you can apps, programs, matrices, and notes. See “Sharing data” on pa

458 ListsMenu format By default, a List function is presented on the Math menu using its descriptive name, not its common command name. Thus the short

Lists 459Reverse Creates a list by reversing the order of the elements in a list.REVERSE(list)Example:REVERSE({1,2,3}) returns {3,2,1}Concatenate Conc

460 ListsLIST Creates a new list composed of the first differences of a list; that is, the differences between consecutive elements in the list. The

Lists 461Finding statistical values for listsTo find statistical values—such as the mean, median, maximum, and minimum of a list—you create a list, st

462 Lists4. In the Symbolic view, specify the data set whose statistics you want to find. YBy default, H1 will use the data in D1, so nothing further

Matrices 46325MatricesYou can create, edit, and operate on matrices and vectors in the Home view, CAS, or in programs. You can enter matrices directly

Getting started 43Example: To assign 2 to to the variable A:Szj AaEYour stored value appears as shown at the right. If you then wanted to multiply y

464 MatricesCreating and storing matricesThe Matrix Catalog contains the reserved matrix variables M0-M9, as well as any matrix variables you have cre

Matrices 465Working with matricesTo open the Matrix EditorTo create or edit a matrix, go to the Matrix Catalog, and tap on a matrix. (You could also u

466 MatricesTo create a matrix in the Matrix Editor1. Open the Matrix Catalog:St(Matrix)2. If you want to create a vector, press = or \ until the matr

Matrices 467Matrices in Home viewYou can enter and operate on matrices directly in Home view. The matrices can be named or unnamed.Enter a vector or m

468 Matricesentry line or copied it from History to the entry line, tap , enter a name for it and press E. The variable names reserved for vectors and

Matrices 469To store one elementIn Home view, enter value, tap , and then enter matrixname(row,column).For example, to change the element in the firs

470 MatricesExample 1. Select the first matrix:St (Matrix)Tap M1 or highlight it and press E.2. Enter the matrix elements: 1 E 2 E 3 E 4 E3. Select th

Matrices 471To multiply two matricesTo multiply the two matrices that you created for the previous example, press the following keys:AQ1sAQ2ETo multip

472 MatricesThis operation is not a mathematical division: it is a left- multiplication by the inverse of the divisor. M1/M2 is equivalent to M2–1 * M

Matrices 4732. Create the vector of the three constants in the linear system.5E7E1E3. Return to the Matrix Catalog.StThe size of M1 should be showing

44 Getting startedComplex numbersYou can perform arithmetic operations using complex numbers. Complex numbers can be entered in the following forms, w

474 Matrices6. Return to Home view and left-multiply the constants vector by the inverse of the coefficients matrix:HA Q2S ns A Q1EThe result is a vec

Matrices 475The matrix commands are designed to support programs that use matrices.The matrix commands are listed in the Matrix category of the Comman

476 MatricesRREF Reduced Row-Echelon Form. Changes a rectangular matrix to its reduced row-echelon form.RREF(matrix)Example:RREF returns CreateMake C

Matrices 477Random Given two integers, n and m, and a matrix name, creates an n x m matrix that contains random integers in the range −99 through 99 w

478 MatricesVandermonde Returns the Vandermonde matrix. Given a vector [n1, n2 … nj], returns a matrix whose first row is [(n1)0, (n1)1, (n1)2, …,(n1)

Matrices 479Spectral Norm Spectral Norm of a square matrix.SPECNORM(matrix)Example:SPECNORM returns 5.46498570422Spectral Radius Spectral Radius of a

480 MatricesTrace Finds the trace of a square matrix. The trace is equal to the sum of the diagonal elements. (It is also equal to the sum of the eige

Matrices 481Diagonal Given a list, returns a matrix with the list elements along its diagonal and zeroes elsewhere. Given a matrix, returns a vector o

482 MatricesHessenberg Matrix reduction to Hessenberg form. Returns [P,B] such that B=inv(P)*A*P.hessenberg(Mtrx(A))Example:In CAS view, hessenberg re

Matrices 483FactorizeLQ LQ Factorization. Factorizes a m × n matrix into three matrices L, Q, and P, where {[L[m × n lowertrapezoidal]],[Q[n × n ortho

Getting started 45screen with as a menu item, you can select an item on that screen to send it to another HP Prime. You use one of the supplied USB

484 MatricesQR QR Factorization. Factorizes an m×n matrix A numerically as Q*R, where Q is an orthogonal matrix and R is an upper triangular matrix, a

Matrices 485SVL Singular Values. Returns a vector containing the singular values of matrix.SVL(matrix)Example:SVL returns VectorCross Product Cross

486 MatricesMax Norm Returns the l∞ norm (the maximum of the absolute values of the coordinates) of a vector. maxnorm(Vect or Mtrx)Example:maxnorm r

Matrices 487which can then be stored as a real matrix in any matrix variable. M1 is used in this example.You can then use the RREF function to chang

488 Matrices

Notes and Info 48926Notes and InfoThe HP Prime has two text editors for entering notes:• The Note Editor: opens from within the Note Catalog (which is

490 Notes and InfoThe Note EditorThe Note Editor is where you create and edit notes. You can launch the Note Editor from the Notes Catalog, and also f

Notes and Info 4912. Create a new note.3. Enter a name for your note. In this example, we’ll call the note MYNOTE.AA MYNOTE 4. Write your note, using

492 Notes and InfoNote Editor: buttons and keysThe following buttons and keys are available while you are adding or editing a note.Button or Key Purpo

Notes and Info 493Entering uppercase and lowercase characters The following table below describes how to quickly enter uppercase and lowercase charact

Contents 1ContentsPrefaceManual conventions ... 9Notice ...

46 Getting startedOnline Help Press W to open the online help. The help initially provided is context-sensitive, that is, it is always about the curre

494 Notes and InfoThe left side of the notification area of the title bar will indicate what case will be applied to the character you next enter.Text

Notes and Info 495Inserting mathematical expressionsYou can insert a mathematical expression in textbook format into your note, as shown in the figure

496 Notes and InfoTo import a note You can import a note from the Note Catalog into an app’s Info view and vice versa.Suppose you want to copy a note

Programming in HP PPL 49727Programming in HP PPL This chapter describes the HP Prime Programming Language (HP PPL). In this chapter you’ll learn about

498 Programming in HP PPLSome built-in commands employ an alternative syntax whereby function arguments do not appear in parentheses. Examples include

Programming in HP PPL 499Open the Program CatalogPress Sx (Program) to open the Program Catalog.The Program Catalog displays a list of program names.

500 Programming in HP PPLSave creates a copy of the selected program with a new name you are prompted to give.Rename renames the selected program.Sort

Programming in HP PPL 501Creating a new programIn the following few sections, we will create a simple program that counts to three as an introduction

502 Programming in HP PPLThe Program EditorUntil you become familiar with the HP Prime commands, the easiest way to enter commands is to select them f

Programming in HP PPL 503Press J to return to the main menu.The commands in this menu are described in “Commands under the Cmds menu”, beginning on pa

Reverse Polish Notation (RPN) 472Reverse Polish Notation (RPN)The HP Prime provides you with three ways of entering objects in Home view:• TextbookAn

504 Programming in HP PPL1. To c o n t i n u e t h e MYPROGRAM example (which we began on page 501), use the cursor keys to position the cursor whe

Programming in HP PPL 505In this example we’ll select a LOOP command from the menu.3. Select Loop and then select FOR from the sub-menu. Notice that a

506 Programming in HP PPL8. Fill in the arguments of the MSGBOX command, and type a semicolon at the end of the command (S+).9. Tap to check the syn

Programming in HP PPL 5074. Tap three times to step through the FOR loop. Notice that the number shown increments by 1 each time.After the program te

508 Programming in HP PPL1. In the Program Catalog, select MYPROGRAM.SxSelect MYPROGRAM 2. Tap . If there is more than one EXPORT function in a file,

Programming in HP PPL 509The message box appears. Note that when each message box is displayed, you still have to dismiss it by tapping or pressing

510 Programming in HP PPL: Cut the selection. : Copy the selection.4. Select what you want to copy or cut (using the options listed immediately above)

Programming in HP PPL 511To share a programYou can send programs between calculators just as you can send apps, notes, matrices, and lists. See “Shari

512 Programming in HP PPLvariables is given in chapter 22, “Variables”, beginning on page 423.)In a program you can declare variables for use only wit

Programming in HP PPL 513Note that EXPORT command for the variable RADIUS appears before the heading of the function where RADIUS is assigned. After y

48 Reverse Polish Notation (RPN)The same entry-line editing tools are available in RPN mode as in algebraic and textbook mode:• Press C to delete the

514 Programming in HP PPLProgram ROLLDIE We’ll first create a program called ROLLDIE. It simulates the rolling of a single die, returning a random in

Programming in HP PPL 515L2(roll)+1 ▶ L2(roll);END;END;By omitting the EXPORT command when a function is declared, its visibility can be restricted to

516 Programming in HP PPLFOR k FROM 1 TO n DOROLLDIE(sides)+ROLLDIE(sides) ▶ roll;results(roll)+1 ▶ results(roll);END;RETURN results;END;ROLLDIE(N)BEG

Programming in HP PPL 517To activate persistent user mode, press SWSW. Notice that U appears in the title bar. The user keyboard will now remain acti

518 Programming in HP PPLTipA quick way to write a program to re-assign a key is to press Z and select Create user key when you are in the Program Edi

Programming in HP PPL 519nK_Div KS_Div KA_Div KSA_Div.K_Dot KS_Dot KA_Dot KSA_Dot\K_Down KS_Down KA_Down KSA_DownEK_Enter KS_Enter KA_Enter KSA_EnterH

520 Programming in HP PPLApp programsAn app is a unified collection of views, programs, notes, and associated data. Creating an app program allows you

Programming in HP PPL 521Using dedicated program functionsThere are nine dedicated program function names, as shown in the table below. These function

522 Programming in HP PPLCustomizing an appWhen an app is active, its associated program appears as the first item in the Program Catalog. It is withi

Programming in HP PPL 5231. In the Application Librray, select the Statistics 1Var app but don’t open it.I Select Statistics 1Var.2. Tap . 3. Enter a

Reverse Polish Notation (RPN) 49bottom. In RPN mode, your history is ordered chronologically by default, but you can change the order of the items in

524 Programming in HP PPLThese views will be activated by pressing M and P, but the function Plot() in our app program will actually launch the latter

Programming in HP PPL 525 FOR k FROM 1 TO ROLLS DO roll:=ROLLDIE(SIDES)+ROLLDIE (SIDES); D2(roll-1):= D2(roll-1)+1; END; Xmin:= -0.1; Xmax:=

526 Programming in HP PPLBEGIN Xmin:=-0.1; Xmax:= MAX(D1)+1; Ymin:= −0.1; Ymax:= MAX(D2)+1; STARTVIEW(1,1);END;Symb()BEGIN SetSample(H1,D1); Se

Programming in HP PPL 5272. Press V to see the custom app menu. Here you can reset the app (Start), set the number of sides of the dice, the number of

528 Programming in HP PPLCommands under the Tmplt menuBlockThe block commands determine the beginning and end of a sub-routine or function. There is a

Programming in HP PPL 529CASE Syntax: CASE IF test1 THEN commands1 END;IF test2 THEN commands2 END;…[DEFAULT commands]END;Evaluates test1. If true, ex

530 Programming in HP PPLExample 1: This program determines which integer from 2 to N has the greatest number of factors.EXPORT MAXFACTORS(N)BEGINLOCA

Programming in HP PPL 531RECT();xincr := (Xmax - Xmin)/318;yincr := (Ymax - Ymin)/218;FOR X FROM Xmin TO Xmax STEP xincr DOFOR Y FROM Ymin TO Ymax STE

532 Programming in HP PPL END; d+1▶ d; END; RETURN sum==n;END;The following program displays all the perfect numbers up to 1000:EXPORT PERFECTNUMS(

Programming in HP PPL 533VariableThese commands enable you to control the visibility of a user-defined variable.LOCAL Local.Syntax: LOCAL var1,var2,…v

50 Reverse Polish Notation (RPN)However, you could also have entered the arguments separately and then, with a blank entry line, entered the operator

534 Programming in HP PPLCommands under the Cmds menuStringsA string is a sequence of characters enclosed in double quotes (""). To put a do

Programming in HP PPL 535STRING Syntax: STRING (object);Returns a string representation of object. The result varies depending on the type of object.

536 Programming in HP PPLMID Syntax: MID(str,pos, [n])Extracts n characters from string str starting at index pos. n is optional, if not specified, ex

Programming in HP PPL 537coordinates using the Cartesian plane defined in the current app by the variables Xmin, Xmax, Ymin, and Ymax.The remaining th

538 Programming in HP PPLPixels and CartesianARC_PARC Syntax; ARC(G, x, y, r [ , a1, a2, c]) ARC_P(G, x, y, r [ , a1, a2, c])Draws an arc or circle on

Programming in HP PPL 539sx2, sy2 are optional and if not specified will be the bottom right of the srcGRB.sx1, sy1 are optional and if not specified

540 Programming in HP PPLGROBW_PGROBW Syntax: GROBW(G) GROBW_P(G)Returns the width of G.G can be any of the graphics variables and is optional. The de

Programming in HP PPL 541PIXON_PPIXON Syntax: PIXON([G], x, y [ ,color])PIXON_P([G], x, y [ ,color])Sets the color of the pixel G with coordinates x,y

542 Programming in HP PPLEXPORT BOX()BEGINRECT();RECT_P(40,90,#000000);WAIT;END;The program below also uses the RECT_P command. In this case, the pair

Programming in HP PPL 543TEXTOUT_PTEXTOUT Syntax: TEXTOUT(text [ ,G], x, y [ ,font, c1, width, c2]) TEXTOUT_P(text [ ,G], x, y [ ,font, c1, width, c2]

Reverse Polish Notation (RPN) 51Manipulating the stackA number of stack-manipulation options are available. Most appear as menu items across the botto

544 Programming in HP PPLTEXTOUT_P(K ,35,0,2,#FFFFFF,100,#333399);TEXTOUT_P(A ,90,30,2,#000000,100,#99CC33);sign*-1 ▶ sign;K+1 ▶ K;UNTIL 0;END;END;The

Programming in HP PPL 545EDITMAT Syntax: EDITMAT(name)Starts the Matrix Editor and displays the specified matrix. If used in programming, returns to t

546 Programming in HP PPLApp FunctionsThese commands allow you to launch any HP app, bring up any view of the current app, and change the options in t

Programming in HP PPL 547You can also launch views that are not specific to an app by specifying a value for n that is less than 0:Home Screen:-1Home

548 Programming in HP PPLBITSL Syntax: BITSL(int1 [,int2])Bitwise Shift Left. Takes one or two integers as input and returns the result of shifting th

Programming in HP PPL 549GETBITS Syntax: GETBITS(#integer)Returns the number of bits used by integer, expressed in the default base.Example: GETBITS(#

550 Programming in HP PPLReturns true (not zero) if the user selects an object, otherwise return false (0). Example:CHOOSE(N,"PickHero",&quo

Programming in HP PPL 551INPUT Syntax: INPUT(var [,"title", "label", "help", reset]);Opens a dialog box with the title t

552 Programming in HP PPLISKEYDOWN Syntax: ISKEYDOWN(key_id); Returns true (non-zero) if the key whose key_id is provided is currently pressed, and fa

Programming in HP PPL 553PRINT Syntax: PRINT(expression or string);Prints the result of expression or string to the terminal.The terminal is a program

52 Reverse Polish Notation (RPN)DUPN Duplicates all items between (and including) the highlighted item and the item on stack level 1. If, for example,

554 Programming in HP PPLMore%CHANGE Syntax: %CHANGE(x,y)The percentage change in going from x to y.Example: %CHANGE(20,50) returns 150.%TOTAL Syntax:

Programming in HP PPL 555second list. The plus operator between them adds the two elements until there are no more pairs. With two lists, the numbers

556 Programming in HP PPLTYPE Syntax: TYPE(object)Returns the type of the object:0: Real1: I n t e g er2: String3: Complex4: Matrix5: Error6: List8:

Programming in HP PPL 557variables represent the definitions and settings you make when working with apps interactively. As you work through an app, t

558 Programming in HP PPLApp variablesNot all app variables are used in every app. S1Fit, for example, is only used in the Statistics 2Var app. Howeve

Programming in HP PPL 559GridLines Turns the background line grid in Plot View on or off. In Plot Setup view, check (or uncheck) GRID LINES. In a prog

560 Programming in HP PPLNmin/NmaxSequenceDefines the minimum and maximum values for the independent variable.Appears as the N RNG fields in the Plot

Programming in HP PPL 561stepPolarSets the step size for the independent variable. In Plot Setup view, enter a value for Step.In a program, type:

562 Programming in HP PPLYmin/Ymax Sets the minimum and maximum vertical values of the plot screen. In Plot Setup view, enter the values for Y Rng.In

Programming in HP PPL 563E0...E9SolveContains an equation or expression. In Symbolic view, select one of E0 through E9 and enter an expression or equa

Computer algebra system (CAS) 533Computer algebra system (CAS)A computer algebra system (CAS) enables you to perform symbolic calculations. By default

564 Programming in HP PPLMethodInferenceDetermines whether the Inference app is set to calculate hypothesis test results or confidence intervals. In S

Programming in HP PPL 565TypeInferenceDetermines the type of hypothesis test or confidence interval. Depends upon the value of the variable Method. Fr

566 Programming in HP PPLNumeric view variablesC0...C9Statistics 2VarContain lists of numerical data. In Numeric view, enter numerical data in C0 thro

Programming in HP PPL 567NumYStartAdvanced GraphingSets the starting value for the Y-values in a table in Numeric view.From Numeric Setup view, enter

568 Programming in HP PPLNumXZoomAdvanced GraphingSets the zoom factor for the values in the X column in the Numeric view.From Numeric Setup view, typ

Programming in HP PPL 569Mean1Sets the value of the mean of a sample for a 1-mean hypothesis test or confidence interval. For a 2-mean test or interva

570 Programming in HP PPLPooled Determine whether or not the samples are pooled for tests or intervals using the Student’s T-distribution involving tw

Programming in HP PPL 571x1Sets the number of successes for a one-proportion hypothesis test or confidence interval. For a test or interval involving

572 Programming in HP PPLIPYR Interest per year. Sets the annual interest rate for a cash flow. From the Numeric view of the Finance app, enter a valu

Programming in HP PPL 573GSize Group size. Sets the size of each group for the amortization table. From the Numeric view of the Finance app, enter a v

54 Computer algebra system (CAS)The menu buttons in CAS view are:• : assigns an object to a variable• : applies common simplification rules to reduce

574 Programming in HP PPLSideC The length of Side c. Sets the length of the side opposite the angle C. From the Triangle Solver Numeric view, enter a

Programming in HP PPL 575RECT Corresponds to the status of in the Numeric view of the Triangle Solver app. Determines whether a general triangle solv

576 Programming in HP PPLHComplex Sets the complex number mode for the Home view. In Home Settings, check or uncheck the Complex field. Or, in a progr

Programming in HP PPL 577Entry Contains an integer that indicates the entry mode. In Home Settings, select an option for Entry.In a program, enter:0 

578 Programming in HP PPLSymbolic Setup variablesThe following variables are found in the Symbolic setup of an app. They can be used to overwrite the

Programming in HP PPL 579AFormat Defines the number display format used for number display in the Home view and to label axes in the Plot view.From Sy

580 Programming in HP PPL

Basic integer arithmetic 58128Basic integer arithmeticThe common number base used in contemporary mathematics is base 10. By default, all calculations

582 Basic integer arithmeticrepresents 22810. In this case, the base marker h indicates that the number is to interpreted as a hexadecimal number: E41

Basic integer arithmetic 583Note that if you change the default base, any calculation in history that involves integer arithmetic for which you did no

Computer algebra system (CAS) 55Example 1 To find the roots of 2x2 + 3x – 2:1. With the CAS menu open, select Polynomial and then Find Roots.The funct

584 Basic integer arithmeticExamples of integer arithmeticThe operands in integer arithmetic can be of the same base or of mixed bases. Mixed-base ari

Basic integer arithmetic 585Integer manipulationThe result of integer arithmetic can be further analyzed, and manipulated, by viewing it in the Edit I

586 Basic integer arithmetic: returns the one’s complement (that is, each bit in the specified wordsize is inverted: a 0 is replaced by 1 and a 1 by 0

Glossary 587Appendix AGlossaryapp A small application, designed for the study of one or more related topics or to solve problems of a particular type.

588 Glossarycommand An operation for use in programs. Commands can store results in variables, but do not display results.expression A number, variab

Glossary 589matrix A two-dimensional array of real or complex numbers enclosed by square brackets. Matrices can be created and manipulated by the Matr

590 Glossary

Troubleshooting 591Appendix BTroubleshootingCalculator not respondingIf the calculator does not respond, you should first try to reset it. This is muc

592 TroubleshootingOperating limitsOperating temperature: 0 to 45C (32 to 113F).Storage temperature: –20 to 65C (– 4 to 149F).Operating and st

Troubleshooting 593Syntax error The function or command you entered does not include the proper arguments or order of arguments. The delimiters (paren

2 Contents4 Exam ModeModifying the default configuration...62Creating a new configuration...

56 Computer algebra system (CAS)Page 1Setting PurposeAngle Measure Select the units for angle measure-ments: Radians or Degrees.Number Format (first d

594 Troubleshooting

Product regulatory information 595Appendix CProduct regulatory informationFederal Communications Commission noticeThis equipment has been tested and f

596 Product regulatory informationDeclaration of Conformity for products Marked with FCC Logo, United States OnlyThis device complies with Part 15 of

Product regulatory information 597European Union Regulatory NoticeProducts bearing the CE marking comply with the follow-ing EU Directives:• Low Volta

598 Product regulatory informationJapanese NoticeKorean Class Notice Disposal of Waste Equipment by Users in Private Household in the European UnionTh

Product regulatory information 599Chemical Substances HP is committed to providing our customers with informa-tion about the chemical substances in ou

600 Product regulatory information

Index 601IndexAadapter 12adaptive graphing 99Advanced Graphing app 69, 125–134Plot Gallery 134trace options 129variables, summary of 432algebra functi

602 Indexbuttonscommand 20menu 20See also menu buttonsCcables 45calculationsCAS 54, 324–347confidence intervals 253financial 287–294geometric 150in Ho

Index 603decimal mark 33decimal zoom 90, 93, 102default settings, restoring 21, 87, 100, 106define your own fit 232degree symbol 21deletingapps 72char

Computer algebra system (CAS) 57Page 2Complex Select this to allow complex results in variables.Use √If checked, second order polyno-mials are factori

604 Indexkeyboard 309–312Linear Explorer 376Linear Solver 374number 313–314plot 346–347polynomial 339–345probability 317–322rewrite 332–337solve 330–3

Index 605Inference app 69, 239–257confidence intervals 253–257functions 366–371hypothesis tests 245–252importing statistics 243variablesNumeric 568Res

606 Indexmatrix calculations 463negating elements 472raised to a power 471reduced-row echelon 486singular value decomposition 485storing 464, 468, 469

Index 607physics constants 449pinch 17plotbox-and-whisker 220cobweb 281color of 85defined in Geometry app 160functions 346–347line 220one-variable sta

608 IndexSequence app 70, 281–286graph types 281variables 442settings 30, 428CAS 30, 55sharing data 44shift keys 22shortcut palettes 20shortcutsin Geo

Index 609Ttables, custom 103template key 24templates 20test mode See exam modetext 23textbook entry 32, 33, 36, 47theme 34time 16, 34time-value-of-mon

610 Indexviewsdefinition of 589in apps 73Numeric 77Numeric Setup 78Plot 75Plot Setup 76Symbolic 73Symbolic Setup 74Views menu 91, 521Wwireless network

58 Computer algebra system (CAS)Setting the form of menu itemsOne setting that affects the CAS is made outside the CAS Settings screen. This setting d

Computer algebra system (CAS) 59functions to be presented by their command name, deselect the Menu Display option on the second page of the Home Setti

60 Computer algebra system (CAS)

Exam Mode 614Exam ModeThe HP Prime can be precisely configured for an examination, with any number of features or functions disabled for a set period

62 Exam ModeModifying the default configurationA configuration named Default Exam appears when you first access the Exam Mode screen. This configurati

Exam Mode 63An expand box at the left of a feature indicates that it is a category with sub-items that you can individually disable. (Notice that ther

64 Exam Mode5. Tap , select Copy from the menu and enter a name for the new configuration.See “Adding text” on page 23 if you need help with entering

Exam Mode 65To activate exam mode:1. I f t h e Exam Mode screen is not showing, press SH, tap and tap .2. If a configuration other than Default Exa

Contents 36 Function appGetting started with the Function app ... 111Analyzing functions...

66 Exam Modemode, with the specified disabled features not accessible to the user of that calculator.9. Repeat from step 7 for each calculator that ne

Exam Mode 67To return to the default configuration1. P r e s s SH. The Home Settings screen appears.2. Tap .3. Tap .The Exam Mode screen appears.4.

68 Exam Mode

An introduction to HP apps 695An introduction to HP appsMuch of the functionality of the HP Prime is provided in packages called HP apps. The HP Prime

70 An introduction to HP appsAs you use an app to explore a lesson or solve a problem, you add data and definitions in one or more of the app’s views.

An introduction to HP apps 71With one exception, all the apps mentioned above are described in detail in this user guide. The exception is the DataStr

72 An introduction to HP appsYou can change the sort order of the built-in apps to:• AlphabeticallyThe app icons are sorted alphabetically by name, an

An introduction to HP apps 73App viewsMost apps have three major views: Symbolic, Plot, and Numeric. These views are based on the symbolic, graphic, a

74 An introduction to HP appsSymbolic Setup viewThe Symbolic Setup view is the same for each app. It enables you to override the system-wide settings

An introduction to HP apps 75Plot viewThe table below outlines what is done in the Plot view of each app.App Use the Plot view to: Advanced GraphingPl

4 ContentsPlot types ...219Setting up the plot (Plot Setup view)...

76 An introduction to HP appsPlot Setup viewThe table below outlines what is done in the Plot Setup view of each app.App Use the Plot Setup view to: A

An introduction to HP apps 77Numeric viewThe table below outlines what is done in the Numeric view of each app.App Use the Numeric view to: Advanced G

78 An introduction to HP appsNumeric Setup viewThe table below outlines what is done in the Numeric Setup view of each app.Triangle Solver Enter known

An introduction to HP apps 79Quick exampleThe following example uses all six app views and should give you an idea of the typical workflow involved in

80 An introduction to HP appsSymbolic Setup view4. Press SY.5. Select Radians from the Angle Measure menu.Plot view6. Press P.A graph of the equation

An introduction to HP apps 81Numeric ViewThe values generated by the equation can be seen in Numeric view.10. Press M.Suppose you want to see just who

82 An introduction to HP appsAdd a definitionWith the exception of the Parametric app, there are 10 fields for entering definitions. In the Parametric

An introduction to HP apps 83• From Home variablesSome Home variables can be incorporated into a symbolic definition. To access a Home variable, press

84 An introduction to HP apps• From app functionsSome of the functions on the App menu can be incorporated into a definition. The App menu is one of t

An introduction to HP apps 85You can tell if a definition is selected by the tick (or checkmark) beside it. A checkmark is added by default as soon as

Contents 515 Parametric appGetting started with the Parametric app ... 27116 Polar appGetting started with the Polar ap

86 An introduction to HP appsSymbolic view: Summary of menu buttonsButton PurposeCopies the highlighted definition to the entry line for editing. Tap

An introduction to HP apps 87Common operations in Symbolic Setup view [Scope: all apps]The Symbolic Setup view is the same for all apps. Its primary p

88 An introduction to HP appsCommon operations in Plot view Plot view functionality that is common to many apps is described in detail in this section

An introduction to HP apps 89Zoom keys There are two zoom keys: pressing + zooms in and pressing w zooms out. The extent of the scaling is determined

90 An introduction to HP appsBox zoom A box zoom enables you to zoom in on an area of the screen that you specify.1. With the Plot view menu open, tap

An introduction to HP apps 91Views menu The most commonly used zoom options are also available on the Views menu. These are:• Autoscale• Decimal• Inte

92 An introduction to HP appsNote that there is an Unzoom option on the Zoom menu. Use this to return a plot to its pre-zoom state. If the Zoom menu i

An introduction to HP apps 93Y Out Y OutSquare Square Notice that in this example, the plot on left has had a YIn zoom applied to it. The Square zoo

94 An introduction to HP appsTrig Trig Trace[Scope: Advanced Graphing, Function, Parametric, Polar, Sequence, Solve, Statistics 1 Var, and Statistics

An introduction to HP apps 95To evaluate a definitionOne of the primary uses of the trace functionality is to evaluate a plotted definition. Suppose i