Apple Newton Works Graphing Calculator User Manual

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The Newton Works graphing calculator program lets you perform calculations and
display the results in a graph or table. You can copy and paste the calculations or
graph into other programs using Newton Works commands. To learn about Newton
Works, see the chapters on Newton Works in the
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Creating a new document for calculations
To create a new document in which to do calculations, do the following from inside
Newton Works:
1 Tap New.
2 In the list that appears, tap Calculations.
A blank document and a title slip appear.
1
Introduction
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Summary of Contents

Page 1 - Introduction

1The Newton Works graphing calculator program lets you perform calculations anddisplay the results in a graph or table. You can copy and paste the cal

Page 3 - Introduction 3

11This chapter describes how to use the built-in functions of the graphing calculatorand how to create your own functions and variables.Using the buil

Page 4 - Chapter 1

To use any of the built-in functions, do one of the following:m Type the function name on the keyboard, or1 Tap Tools, and then tap Functions.The fun

Page 5 - For Type this Example

4 Tap the function that you want to use in your calculation, then tap Insert.The function appears and the caret is placed between the parentheses.5 If

Page 6

Using the math functionsThe Math list contains the following functions:Function Abbreviation DescriptionSquare Root Sqrt(x) Returns the square root of

Page 7 - Introduction 7

Using the trig functionsThe Trig list contains the following functions:Function Abbreviation DescriptionCosine Cos(x) Returns the cosine of xSine Sin(

Page 8 - 2 Tap the Folder button F

Using the series functionsThe Series functions perform operations on lists. The Series list contains thefollowing functions:Function Abbreviation Desc

Page 9 - Introduction 9

Using the hyperbolic functionsThe Hyperbolic list contains the following functions:Function Abbreviation DescriptionHyperbolic cosine CosH(x) Returns

Page 10

Using the financial functionsThe Financial list contains the following functions:Function Abbreviation DescriptionAnnuity Annuity(rate,periods) Return

Page 11 - Using Functions and Variables

xandtin the above examples are the function parameters. You specify the values for these parameters when you use the function in a calculation. For ex

Page 12 - Chapter 2

3 If desired, type in a title for the calculation document.Note:This title doesn’t appear when you print a calculation document.4 Press Return or tap

Page 13 - Using the integer functions

Creating parametric functionsAn example of a parametric function is shown below:x=t2, y=t–3To enter parametric equations into the Newton Works graphi

Page 14 - Using the math functions

Using your functionTo use your function, do one of the following:m Type the function name on the keyboard, or1 Tap Tools, and then tap Functions.2 Ta

Page 15 - 1 Tap measured angle

To use these constants, do one of the following:m Type the function name from the keyboard, or1 Tap Tools, and then tap Functions.2 Tap the diamond u

Page 16 - Using the series functions

2 Tap Tools, then tap Evaluate (or press Enter).Your variable is added to the User Variables list.Displaying the value of a variableTo display the va

Page 17 - Examples

The graph variables and their default values are:Variable name Definition Default valuexMin Minimum x value to display –12xMax Maximum x value to disp

Page 18

Additional examplesFind the range, mean, and standard deviation of these observations:16,4,8,14,3,10,2,24,11,7,9An object is released from rest and fa

Page 19

A 32-lb. weight is attached to the lower end of a coil spring suspended from theceiling. The weight comes to rest in its equilibrium position, stretch

Page 20 - Creating parametric functions

Creating Graphs and Tables 2727This chapter describes how to plot a function and view results in tabular format.Creating graphsYou can create graphs i

Page 21 - Using your function

Or polar coordinates:To plot a function, follow these steps:1 Create your function.See “Creating Your Own Functions” in Chapter 2.2 Position the curs

Page 22 - 4 Tap Insert

Plotting multiple functions on a graphYou can plot multiple curves on a single graph. The graph icon next to the functionshows the line style used to

Page 23

Setting preferencesYou can set preferences for the graphing calculator. You can choose the defaultmeasurement to use for angles and the default number

Page 24 - 24 Chapter 2

Changing the zoom factorTo change the level of detail in your graph, tap View and then tap Zoom In or Zoom Out.To zoom in to a particular section of

Page 25

Changing the scale of an axisThe Graph Variables define the scale of the axes for graphs.You can change these scales by entering new graph variables i

Page 26

If xScl or yScl are set to values that would generate too few or too many tick marks onthe graph window, their default values are used.For more inform

Page 27 - Creating Graphs and Tables

Moving around a graphAfter tapping a point on a curve (or any point on the graph), you can use the arrowkeys on your keyboard to move around the graph

Page 28 - 1 Create your function

You can display multiple functions in a table.m In the math window, move the caret to the function you want to add to the table.Tap Tools, and then ta

Page 29 - Creating Graphs and Tables 29

Changing the table scaleThe tblStart, tblStop, and tblDelta system variables define the initial table view. Youcan change these variables in the math

Page 31 - Changing the scale of an axis

37You can use lists to provide values for function arguments and to store andmanipulate data. This chapter describes how to create and use lists in yo

Page 32 - Viewing a point on the graph

Performing operations on listsYou can perform any operation on a list of numbers. If multiple lists are used in anoperation, they must be the same len

Page 33 - Creating Graphs and Tables 33

Graphing listsYou can use lists to graph a family of curves. Use one of the following formats for the list:m [[x1,y1,x2,y2,x3,y3...]m [[x1,y1],[x2,y2]

Page 34 - Moving through the table

3 Tap u Number Format and in the list that appears, tap your choice.4 If you choose Scientific or Engineering, tap u Significant Figures and in the li

Page 36

Newton WorksGraphing CalculatorUser’s Manual

Page 37 - Creating and Using Lists

K Apple Computer, Inc.© 1997 Apple Computer, Inc. All rights reserved. 1 Infinite Loop Cupertino, CA 95014-2084408-996-1010http://www.apple.comEvery

Page 38 - 38 Chapter 4

Contents1Introduction 1Creating a new document for calculations 1Setting preferences 3Using operators 5Order of evaluation 6Viewing the

Page 39

3Creating Graphs and Tables 27Creating graphs 27Creating a table 334Creating and Using Lists 37Creating lists 37Performing operations o

Page 40

To change the number format for the open calculation document follow these steps:1 Tap Tools, then tap u Number Format.2 Tap u Number Format and in t

Page 41 - User’s Manual

x y z is interpreted as x multiplied by y, then that product multiplied by z.Use parentheses to avoid ambiguity about the order of calculations. The e

Page 42 - K Apple Co

Viewing the resultsTo see the results of your calculation, do one of the following:m Tap Tools and then tap Evaluate.m Press Enter.m Press x-Return.T

Page 43 - Contents

Saving a calculation documentLike other Newton Works documents, your calculation document is automaticallysaved as you enter information. There is no

Page 44

Viewing your calculation documentsYou may want to see a list of all the calculation documents you created, especially ifyou’re trying to find a partic

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