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