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