Users guide
Edition3 Part Number F2223AA-90001
 Printing History
USA
Edition December June
 Contents
 Using variables in equations
10-1
10-6
 11-8
11-1
11-4
11-9
 Introduction 14-1 Storing and recalling variables 14-2
13-24
Program constants 13-24 Physical constants 13-25
14-4
 18-30
18-7
18-9
19-1
 Service Regulatory information
 Hewlett Packard’s Calculators web site can be found at
Preface
Manual conventions
Function, Polar, Parametric
Page
 On/off, cancel operations
Getting started
Home
 Parts of the display
To adjust
Display
Contrast
 Keyboard
Menu keys
Infrared or cable
 Displays the Views menu. See
Aplet control keys
Aplet library on
Aplet views on
 Entry/Edit keys
Button performs
 Shifted keystrokes
 Helpwith
Math keys
 Program
Commands
Menus
Inactive keys
 Reset input form values
Input forms
 Mode settings
You use the Modes input form to set the modes for Home
 Setting a mode
 Aplets E-lessons
Press to return to Home
 Sequence Sequence functions U in terms of n, or
Example x = cost and y = sint
Polar
Another sequence, such as Un 1
 Quad Explorer aplet
 Transformations reflected in the equation
 Aplet library
Symbolic view Plot view
Press to display the aplet’s Symbolic view
Aplet views
 Select Plot-Table
Select Plot-Detail
Select Overlay Plot
 Aplet view configuration
Plot Setup Numeric Setup Symbolic Setup
Sketch view
 Mathematical calculations
Where to start
To save aplet configuration
Entering expressions
 Explicit and implicit multiplication
Long results Negative numbers Scientific notation powers
Using
23 3 EEX
 Parentheses
Entering Calculates Sin 45 + π
 Input Output Last input Edit line Last output
 Getting started
 Storing a value in a variable
 Using fractions
Accessing the display history Clearing the display history
Setting Fraction mode
 Setting fraction precision
 Fraction calculations
Select
Fraction
 Converting decimals to fractions
Enter the calculation Evaluate the calculation
Fraction as
 Complex numbers
This example, the fraction precision is set to
 Catalogs and editors
 Aplets and their views
About the Symbolic view
Defining an expression Symbolic view
Aplet views
 Independent variable in the expressions is T
 Evaluating expressions
Aplets
Select Function
 Home
 Setting up the plot Plot view setup
About the Plot view
 Plot view settings
ΘRNG
ΘSTEP
 Reset plot settings
Exploring the graph
 Trace a graph
To move between relations
 Zoom within a graph
To jump directly to a value To turn trace on/off
Zoom options
 Factors
Square
Set
Auto Scale
 Un-zoom
Now un-zoom
 To box zoom
 Other views for scaling and splitting the graph
Views menu options
 Making each pixel=1 unit. Not
Unit. Resets default values for
Split the screen
Pixel=π/24 radian, 7.58, or
 Integer scaling
Overlay plots
Decimal scaling
Trigonometric
 Setting up the table Numeric view setup
About the numeric view
 Numeric view settings
Exploring the table of numbers
NUM view menu keys Zoom within a table
 Integer Numstart and Numstep
 Clear data
Building your own table of numbers
Build a table
Numtype Build Your Own
 Build Your Own menu keys
Example plotting a circle
 Function
Reset the graph setup to the default settings
Function aplet, specify the functions
Display the functions in numeric form
Page
 Getting started with the Function aplet
Function aplet
About the Function aplet
Open the Function aplet
 Specify a grid for the graph
Define the expressions Set up the plot
Plot the functions
Plot the functions
 Scale
Change the scale Trace a graph
Select Auto
Times
 Analyse graph with FCN functions
Select Root
 Select Slope
Select Signed area
 To find the extremum of the quadratic
Select Extremum
 Display the numeric view
Explore the table
Display the table of values
 Symbolic definition F1 is displayed at Bottom of the screen
Symbolic definition A column
Display the symbolic definition for the F1 column
To display
 Function aplet interactive analysis
Select Plot FCN
Or to choose a variable
 Extremum
FCN functions
Root
Slope
 Intersection
Symbolic view. Displays
Shading area
Cursor. You need to have at
 Plotting a piecewise-defined function
 Getting started with the Parametric aplet
Parametric aplet
About the Parametric aplet
Define the expressions
 Set the angle measure to degrees
Set up the plot Plot the expression
Set angle measure
Select Degrees
 Overlay plot Display the numbers
Plot a triangle graph over the existing circle graph
120
Page
 Open the Polar aplet
Polar aplet
Getting started with the Polar aplet
Select Polar
 Explore the graph Display the numbers
Display the Plot view menu key labels
 Sequence aplet
About the Sequence aplet
Getting started with the Sequence aplet
 Sequence
Define the expression Specify plot settings
Open the Sequence aplet
Menu keys to assist in the entry of equations
 Select Cobweb
Plot Setup, set the Seqplot option to Cobweb
Plot the sequence
Display the . Display the table of values for this example
Page
 Solve aplet
About the Solve aplet
 Define the equation Enter known variables
Getting started with the Solve aplet
Open the Solve aplet
Select Solve
 Solve the unknown variable Plot the equation
Modes is set to Comma, use instead
 Copies the highlighted value to
Plot the equation for variable a
Solve aplet’s NUM view keys are
Displays other pages of variables, if
 Use an initial guess
 Interpreting results
 Plotting to find guesses
Consider the equation of motion for an accelerating body
 To highlight T
Plot the graph
 Press until the cursor is at the intersection
 Using variables in equations
 Select Linear
Linear Solver aplet
Open the Linear Sequence aplet
Solver
 Solver was able to find solutions for x, y, and z as
Hence we need the three-equation input form
 Linear Solver aplet
Page
 Triangle Solve aplet
About the Triangle Solver aplet
 Open the Triangle Solver aplet
Triangle Solver
 Errors
 Not enough data
Addition, you cannot specify only angles and no lengths
 Statistics aplet
About the Statistics aplet
Getting started with the Statistics aplet
 Enter the data into the columns
Enter data
Select Statistics
To move to the next column
 Select a fit in the Symbolic setup view
Choose fit and data columns Explore statistics
Value is
 To move to the FIT1 field
Setup plot Plot the graph Draw the regression curve
Display the equation for best linear fit
Slope m is 425.875. The y-intercept b is
 Predict values
To highlight
Stat-Two
 Entering and editing statistical data
Statistics aplet’s Numeric view keys are
 Statistics
 Variable expression to the edit line
Expression in standard Mathematical form. Press When Done
Copies the column variable or
Expression
 Clear is used
Data sets will need to be selected
Again before re-use
 Save data Edit a data set
Plot a histogram of the data
 Delete data Insert data
Sort data values
 To choose the fit
Angle Setting
Defining a regression model
Fit models
 To define your own fit
 Computed statistics
7,8,15,16,17
 Plotting
Two-variable
Columns for a linear fit only
 Plot types
Histogram Box and Whisker Plot
To plot statistical data
 Fitting a curve to 2VAR data
Scatter Plot
Correlation coefficient
 Setting up the plot Plot setup view
Relative Error
Plotting mark 2VAR Connected points 2VAR
 Trouble-shooting a plot
Statistics aplet’s Plot view keys
Erases the plot
 According to the current regression
Calculating predicted values
Find predicted values
Model
 Statistics aplet 10-21
Page
 Getting started with the Inference aplet
Inference aplet
About the Inference aplet
Open the Inference aplet
 Table below summarizes the options available Symbolic view
Inference aplet’s Symb view keys
 Select Hypoth Test
Setup-NUM
Select the inferential method Enter data
Test 1 μ
 Are explained in the feature of this aplet
Importing sample statistics from the Statistics aplet
 C1 column, enter the random numbers
If the Decimal Mark setting in the Modes input form
Statistics aplet opens in the Numeric view
Produced by the calculator 529 295 952 259 925 592
 Inference
Set up the interval calculation
Open Inference aplet
Select Conf Interval
 Display Numeric view Display Plot view
Specify a 90% Confidence interval in the C field
To move to the C field
 Menu name
Hypothesis tests
One-Sample Z-Test
Inputs
 Two-Sample Z-Test
Results
 Test 1π
One-Proportion Z-Test
Population 2 standard
Measures the strength of the evidence for a selected
 Two-Proportion Z-Test
 One-Sample T-Test
 Sample standard deviation
With the α level that you
 Two-Sample T-Test
Pooled?
 Confidence intervals
One-Sample Z-Interval
 Two-Sample Z-Interval
 One-Proportion Z-Interval
Two-Proportion Z-Interval
 One-Sample T-Interval
 Two-Sample T-Interval
Pooled
 Critical T Critical value for T
 Using the Finance Solver
Background
 3 4
 Compounding period -- which is
 Performing TVM calculations
PMT
 Example 1 Loan calculations
 Example 2 Mortgage with balloon payment
 Example 3 Amortization for home mortgage
Calculating Amortizations
To calculate amortizations
To continue amortizing the loan
 Example 4 Amortization for home mortgage
 Math menu
Using mathematical functions
Math functions
Name. Note You do not need to press first
 Syntax
Math functions by category
Function categories
Functions common to keyboard and menus
 Evalue
Keyboard functions
Value1+ value2 , etc
E5 returns
 Returns
LOG100 returns
 ABS1,2 returns
 ∂ s1s1 2+3*s1 returns 2*s1+3
Calculus functions
Nthroot 8 returns
S1,2*X+3,X
 ARG
Complex number functions
Taylor
Conj
 Maxreal
Constants
Conversions
Minreal
 Hyperbolic trigonometry
 List functions
Loop functions
 Polycoef
Matrix functions
Polynomial functions
Polyeval
 Comb
Probability functions
Polyroot
Perm
 Real-number functions
 Fnroot
DEG→RAD
Floor
Frac
 MAX
INT
Mant
MIN
 Round
Total
RAD→DEG
Sign
 Xpon
Symbolic functions
Two-variable statistics
Isolate
 Quote
Test functions
Quad
QUADX-12-7,X returns
 Not
Trigonometry functions
Ifte
XOR
 Symbolic calculations
 Finding derivatives
To find derivatives in Home
 To find derivatives in the Function aplet’s Symbolic view
Evaluate the function Show the result
Select F2X and evaluate it
 To find the indefinite integral using formal variables
You could also just define
For example, to find the indefinite integral
 Program constants and physical constants
Program constants
 Physical constants
 13-26
 Variables and memory management
Introduction
 Storing and recalling variables
 To use variables
Calculations
To clear a variable
 Vars menu
Open the Vars menu
Press
 Example
Add the contents of two list variables, and to store
Names or values of variables into programs
Result in another list variable
 14-6
 That you can configure using
To store into a graphics variable on
17-5 for more information on
 Variable
To access an aplet
X0, Y0 to X9, Y9 Symbolic view. See
Aplet variables on page R-7
 Details of variables within the category
Memory Manager
Line, press and press
To delete variables in a category
Page
 Matrices
Matrices
Vectors
Matrix Variables
 Creating and storing matrices
Matrix Catalog keys
POLYROOT1,0,-1,0 M1
 To create a matrix in the Matrix Catalog
 Working with matrices
To transmit a matrix
 Make a choice
Deletes the highlighted cells, row
Or column you are prompted to
Moves to the first row, last row, first
 Matrix arithmetic
To store one element
Create the second matrix
 Matrices 15-7
 Solving systems of linear equations
Open the Matrix catalog and create a vector
 Select Real matrix
 Argument conventions
Matrix functions and commands
About commands
About functions
 DET
Cond
Cross
DOT
 Rownorm
Makemat
Rank
Rref
 Examples
 Transposing a Matrix Reduced-Row Echelon Form
 Matrices 15-15
Page
 Lists
You can create, edit, delete, send, and receive named
 List catalog keys
 Create a list
List edit keys
 To display one
Displaying and editing lists
To display a list
Element
 Press , and press
A list
To insert an element 1. Open the List catalog
148 L12
 Transmitting lists
List functions
Deleting lists
To delete a list
 CONCAT1,2,3,4 returns 1,2,3,4
2,3 returns 5,10,15
CONCATlist1,list2
ΔLISTlist1
 23 27 Calculates the product of all elements in list
ΠLISTlist
ΠLIST2,3,4 returns
 Finding statistical values for list elements
 16-10
 Your work is automatically saved. Press any view key
Aplet note view
To write a note in Note view
Or to exit the Notes view
 Space key for text entry
Contents of variables
Commands
Alpha-lock for letter entry
 Aplet sketch view
Sketch keys
To draw a line
 To draw a box
Draw keys
 Press to continue drawing, or press
 Mynote
 For a name
Opens the selected note for
Begins a new note, and asks
Another HP 39gs or PC
 Press instead
 Contents of a Program Structured Programming
Programming
 Be simple-or it can be divided further into other
Program catalog
Open Program Catalog
Programs that perform smaller tasks
 Program catalog keys
 Creating and editing programs
Create a new program
Press Progrm to open the Program catalog
 On the left, use or to highlight a command
Press to paste the command into the program editor
Edit a program 1. Press Progrm to
 Editing keys
 Using programs
Run a program Debug a program Stop a program
 Transmit a program
 Customizing an aplet
 Aplet naming convention
Example
 Configuring the Setviews menu option programs
Save the aplet
 ’’My Entry2’’’’EXP.ME2’’3
Setviews ’’’’ ’’’’18
’’My Entry1’’’’EXP.ME1’’1
’’ ’’’’EXP.SV’’0
 Programming commands
’’’’’’EXP.ANG’’0
’’Start’’’’EXP.S’’7
 Select
Aplet commands
Check
Setviews
 Associating programs with your aplet
Auto-run programs
 ProgramName
ViewNumber
Including standard menu options
 IF...THEN...END
Branch commands
Uncheck
Uncheck n
 END
IF... THEN... Else
END CASE...END Iferr Then ELSE…
If A==1
 Drawing commands
RUN
Stop
 Freeze
BOX
Erase
Line
 Graphic commands
 PLOT→
Grobxor
Makegrob
→PLOT
 Loop commands
 Matrix commands
 Scale
Randmat
Redim
Scaleadd
 Print commands
Prompt commands
 Dispxy
Clrvar
Disp
Disp 3A is 2+2
 Disptime
51.52HELLO
Editmat matrixname
 Getkey
Input
Msgbox
 Stat-One and Stat-Two commands
Stat-One commands
Stat-Two commands
 Storing and retrieving variables in programs
 Plot-view variables
 Indep
Grid
Hmin/Hmax
InvCross
 Recenter
Isect
Labels
Root
 Simult
S1mark-S5mark
SeqPlot
Slope
 Tmin / Tmax
Umin/Umax
Ustep
Tracing
 Ycross
Tstep
Xcross
Ytick
 Ymin / Ymax
Yzoom
 Symbolic-view variables
 S1fit...S5fit
Cubic S2fit
 Digits
Numeric-view variables
C1...C9, C0
Format
 NumIndep
NumCol
NumFont
NumRow
 NumZoom
NumStep
NumType
StatMode
 Following aplet variable is available in Note view
Sketch variables
PageNum
Graphicname
 Extending aplets
Creating new aplets based on existing aplets
 Open the Solve aplet and save it under the new name
Solve
Degrees
 Resetting an aplet
Using a customized aplet
Choose the sine formula in E1
 Downloading e-lessons from the web
Sending and receiving aplets
Hewlett-Packard’s Calculators web site can be found at
 To transmit an aplet
 Sorting items in the aplet library menu list
To sort the aplet list To delete an aplet
 Expression line#
Reference information
Glossary
Cross matrix1,matrix2
 Vector One-dimensional array of values
Editor and catalog Matrix Two-dimensional array of values
Record using the Program editor
Set to Comma and enclosed
 Resetting the HP 39gs
To erase all memory and reset defaults
To reset using the keyboard
 Operating details
If the calculator does not turn on
Batteries
 To install the main batteries To install the backup battery
 Variables
Home variables
 Function aplet variables
Area Root Extremum Slope Isect
Angle
 Parametric aplet variables
Parametric aplet variables are Category Available name Plot
 Polar aplet variables
Polar aplet variables are Category Available names Plot
 Sequence aplet variables
Sequence aplet variables are Category Available name Plot
 Solve aplet variables
Solve aplet variables are Category Available name Plot
Digits NumCol Format NumRow
 Statistics aplet variables
 Math functions are Category Available name Calculus
Math menu categories
Math functions
Hyperb
 Category Available name Matrix
Polynom
 Cobweb Stairstep
Degrees Grads Radians
Standard Sci Fixed Eng Fraction
Stat1Var Stat2Var
 Compt w... Compton
Wavelength, λc
 Branch
Program commands
Program commands are Category Command Aplet
Print
 Category Command Stat-Two
Status messages
 Find its proper syntax
Also be correct. Look up
Function name in the index to
Function value, root, extremum
Page
 Limited Warranty
HP 39gs Graphing Calculator Warranty period 12 months
Page
 Service
 Canada 905 206-4663 or
Rotc = Rest of the country
 Regulatory information
 Xxxx
This marking is valid for EU
Page
Page
 Index
Branch structures 18-17 build your own table
 Contrast
 Freeze 18-20 Line 18-20 Pixoff 18-20 Pixon 18-20 Tline
 Grobor
Acosh Alog Asinh Atanh Cosh EXP
Page
Page
 Angle measure 1-10 decimal mark 1-11 number format
 Trigonometric scaling 2-14 two-variablestatistics
 Sending and receiving 18-8 structured
 Menu lists 1-8 speed searches
 Navigate around 3-8 numeric values 3-7 numeric view setup
Page