Edition Part Number F2224-90001
User’s guide
 Edition December
Printing History
 Contents
 Getting started with the Polar aplet
Using variables in equations
Plotting a piecewise-defined function
About the Solve aplet
 11-1
Confidence intervals One-Sample Z-Interval
One-Proportion Z-Interval
10-7
 Variables and memory management
 16-7
16-1
16-2
Creating and editing programs 16-4
 Variables Home variables
Glossary Resetting the hp 39g+
Service Regulatory information
Operating details
 Function, Polar, Parametric
Preface
Manual conventions
Hewlett Packard’s Calculators web site can be found at
 Preface
 To turn on
On/off, cancel operations
To cancel
Getting started
 Contrast
To adjust
Display
Parts of the display
 Infrared or cable
Keyboard
Menu keys
 Displays the Aplet Library menu. See Aplet library on
Aplet control keys
 Button performs
Entry/Edit keys
Same
 Shifted keystrokes
 Math keys
Helpwith
 Inactive keys
Commands
Menus
Program
 Input forms
Reset input form values
 Same result
Mode settings
You use the Modes input form to set the modes for Home
Current aplet and Home give
 Uses periods dot as separators
Setting Options Number
Function arguments. Comma mode
Lists and matrices, and to separate
 Press to return to Home
Setting a mode
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
 Seen by experimenting
Keys Transforms Graph, with these
Amplitude and frequency
 Aplet views
Symbolic view
Aplet library
 Select Plot-Detail
Plot view Numeric view Plot-Table view Plot-Detail view
Select Plot-Table
 Views menu contains the Overlay Plot view
Aplet view configuration
Plot Setup
Overlay Plot view Sketch view
 Entering expressions
Numeric Setup Symbolic Setup
Where to start
Mathematical calculations
 23 3 EEX
Long results Negative numbers Scientific notation powers
Using
 Entering Calculates Sin 45 + π
Explicit and implicit multiplication
Parentheses
 Input Output Last input Edit line Last output
 Getting started
 Storing a value in a variable
 Setting Fraction mode
Using fractions
Accessing the display history Clearing the display history
 Setting fraction precision
 Fraction
Fraction calculations
Select
 Converting decimals to fractions
 Complex numbers
 Catalogs and editors
 Aplet views
About the Symbolic view
Defining an expression Symbolic view
Aplets and their views
 U0. Define the nth term
Independent variable in the expressions is T
 Select Function
Evaluating expressions
Aplets
 Home
 About the Plot view
Setting up the plot Plot view setup
 ΘSTEP
Plot view settings
ΘRNG
 Exploring the graph
Reset plot settings
 To move between relations
Trace a graph
 Zoom options
Zoom within a graph
To jump directly to a value To turn trace on/off
 Auto Scale
Square
Set
Factors
 Now un-zoom
Un-zoom
 To turn on the menu-key
To box zoom
Box Zoom option lets you draw a box around
One diagonal of the zoom rectangle
 Press to zoom in on the boxed area
 Views menu options
Other views for scaling and splitting the graph
 Press or
Split the screen
Pixel=π/24 radian, 7.58, or
 About the numeric view
 Numeric view settings
Setting up the table Numeric view setup
 Numstart and Numstep
Exploring the table of numbers
NUM view menu keys Zoom within a table
 Numtype Build Your Own
Building your own table of numbers
Build a table
 Clear data
Build Your Own menu keys
 Function aplet, specify the functions
Reset the graph setup to the default settings
Example plotting a circle
Plot the circle, x 2+ y 2 = 9. First rearrange it to read
 Display the functions in numeric form
 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 table of values
Display the numeric view
Explore the table
 To display
Symbolic definition A column
Display the symbolic definition for the F1 column
Symbolic definition F1 is displayed at Bottom of the screen
 Or to choose a variable
Function aplet interactive analysis
Select Plot FCN
 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
 120
Overlay plot Display the numbers
Plot a triangle graph over the existing circle graph
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
 Getting started with the Sequence aplet
Sequence aplet starts in the Symbolic view
Sequence aplet
About the Sequence aplet
 Menu keys to assist in the entry of equations
Plot Setup, set the Seqplot option to Cobweb
 Display the . Display the table of values for this example
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
 Solve the unknown variable Plot the equation
 Select Auto Scale
 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
 Getting started with the Statistics aplet
Statistics aplet
About the Statistics aplet
 To move to the next column
Enter data
Select Statistics
 Value is
Select a fit in the Symbolic setup view
Choose fit and data columns Explore statistics
Select Linear
 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
 To highlight
Predict values
 Statistics aplet’s Numeric view keys are
Entering and editing statistical data
 Statistics
 Variable expression to the edit line
Copies the column variable or
 Again before re-use
Clear is used
Data sets will need to be selected
 Plot a histogram of the data
Save data
 Sort data values
Edit a data set Delete data Insert data
 Fit models
Angle Setting
Defining a regression model
To choose the fit
 To define your own fit
Computed statistics
 ΣX2
Two-variable
7,8,15,16,17
 Columns for a linear fit only
Plotting
To plot statistical data
 Histogram Box and Whisker Plot Scatter Plot
Plot types
 Correlation coefficient
Relative Error
Fitting a curve to 2VAR data
 Histogram range Plotting mark 2VAR Connected points 2VAR
Setting up the plot Plot setup view
Trouble-shooting a plot
 Erases the plot
Statistics aplet’s Plot view keys
 Find predicted values
Calculating predicted values
 Statistics aplet
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 ∝
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
 To move to the C field
Display Numeric view Display Plot view
Specify a 90% Confidence interval in 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
 Performing TVM calculations
 Soft menu key. The resulting value is PV = $15,705.85
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
 Hyperbolic trigonometry
Constants
 Loop functions
List functions
 POLYCOEF2,-3,4,-5 returns1,2,-25
Matrix functions
Polynomial functions
Polycoef
 Polyroot
Polyeval
Polyform
 Random
Probability functions
Comb
Perm
 Real-number functions
 →HMS
Fnroot
Frac
HMS→
 Change
MAX
MIN
MOD
 Truncate
Two-variable statistics
Round
Sign
 Quad
Symbolic functions
Isolate
LINEAR?
 Quote
Test functions
 Trigonometry functions
 SECvalue
Symbolic calculations
Using formal variables
SEC
 To find derivatives in Home
Symbolic calculations in the Function aplet
Finding derivatives
 You could also just define
To find derivatives in the Function aplet’s Symbolic view
Show the result
Select F2X and evaluate it
 Thus, substituting X for S1, it can be seen that
To find the indefinite integral using formal variables
For example, to find the indefinite integral
 11-24
 Introduction
Variables and memory management
 Storing and recalling variables
 Substitutes the variable’s value in the calculation
To use variables
Calculations
You can use variables in calculations. The calculator
 Move the highlight to the variables column
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
 12-6
 Information on storing graphic object via
That you can configure using
Real part, and i represents
Variable on page 15-5 for more
 Aplet variables on page R-7
To access an aplet
X0, Y0 to X9, Y9 Symbolic view. See
Variable
 Line, press and press
Memory Manager
Page
 Matrix Variables
Matrices
Vectors
Matrices
 POLYROOT1,0,-1,0XM1
Creating and storing matrices
Matrix Catalog keys
 To create a matrix in the Matrix Catalog
 Or column you are prompted to Make a choice
Working with matrices
To transmit a matrix
 If M2 is 3,4,5,6, then M21,2 returns
Key Meaning Moves to the first row, last row, first
 Create the second matrix
Matrix arithmetic
To store one element
 Matrices 13-7
 Element
Solving systems of linear equations
To negate each
 Select Real matrix
Matrix functions and commands
About functions
 Cross
Argument conventions
Colnorm
Cond
 Eigenvv
DET
DOT
Eigenval
 Schur
Rank
Rownorm
Rref
 Trace
Examples
SVD
SVL
 Following set of equations x 2y + 3z = 14 2x + y z =
Reduced-Row Echelon Form
 You can create, edit, delete, send, and receive named
Lists
 List catalog keys
 List edit keys
Create a list
 To edit a list
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
 ∆LISTlist1
2,3 returns 5,10,15
CONCATlist1,list2
CONCAT1,2,3,4 returns 1,2,3,4
 POS 3, 7, 12, 19,12 returns
ΠLISTlist
ΠLIST2,3,4 returns
POSlist, element
 List, L1 Create L1 with values 88, 90, 89, 65, 70,
Finding statistical values for list elements
ΣLIST2,3,4 returns
Sorts elements in ascending order. SORTlist
 Are now in column 1 C1
 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
 To draw a line
Aplet sketch view
Sketch keys
 Draw keys
To draw a box
 Press to continue drawing, or press
 Mynote
 Another hp 39g+ 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
 Press Progrm to open the Program catalog
Creating and editing programs
Create a new program
 Edit a program 1. Press Progrm to
On the left, use or to highlight a command
Press to paste the command into the program editor
 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
 ’’START’’’’EXP.S’’7
Programming commands
’’’’’’EXP.ANG’’0
 Setviews
Aplet commands
Check
Select
 Auto-run programs
Associating programs with your aplet
 Including standard menu options
ProgramName
ViewNumber
 1XA
Branch commands
IF...THEN...END
Uncheck n
 END
Iferr trap-clause Then error-clause END
IF... THEN... Else
END CASE...END Iferr Then
 ARC
Drawing commands
RUN
Stop
 Graphic commands
 Grobor
→DISPLAY
→GROB
Grobnot
 Do a + 1 X a Until a ==
Loop commands
 Matrix commands
 Randmat
Delcol
Delrow
Editmat
 Prompt commands
Print commands
 Disp 3A is 2+2
Choose
Disp
Disptime
 Editmat matrixname
Input nametitle,labelhelpdefault
Getkey
Input
 Wait
Stat-One and Stat-Two commands
Msgbox
Prompt
 Stat-Two commands
Stat-One commands
 Axes
Storing and retrieving variables in programs
Plot-view variables
Area
 Grid
Coord
Extremum
FastRes
 Isect
Hwidth
Indep
InvCross
 S1mark-S5mark
Nmin / Nmax
Recenter
Root
 Umin/Umax
Simult
Slope
StatPlot
 Xcross
Tmin / Tmax
Tracing
Tstep
 Ymin / Ymax
Xtick
Ytick
Xmin / Xmax
 Symbolic-view variables
 S1fit...S5fit
R1...R9, R0
U1...U9, U0
E1...E9, E0
 Format
Numeric-view variables
C1...C9, C0
Digits
 NumRow
NumCol
NumFont
NumIndep
 StatMode
NumStep
NumType
NumZoom
 PageNum
Sketch variables
PageNum
Graphicname X
 Creating new aplets based on existing aplets
Extending aplets
 Degrees
Open the Solve aplet and save it under the new name
Solve
 Choose the sine formula in E1
Resetting an aplet
Using a customized aplet
 Hewlett-Packard’s Calculators web site can be found at
Downloading e-lessons from the web
Sending and receiving aplets
 To transmit an aplet
Sorting items in the aplet library menu list
 To sort the aplet list To delete an aplet
 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
 Split screens
Resetting the hp 39g+
To erase all memory and reset defaults
To reset using the keyboard
 Batteries
Operating details
If the calculator does not turn on
 To install the main batteries To install the backup battery
 Home variables
Variables
 Angle
Function aplet variables
Area Root Extremum Slope Isect
 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
 Digits NumCol Format NumRow
Solve aplet variables
Solve aplet variables are Category Available name Plot
 Statistics aplet variables
 Hyperb
Math menu categories
Math functions
Math functions are Category Available name Calculus
 Polynom
Category Available name Matrix
 Program constants
 Print
Program commands
Program commands are Category Command Aplet
Branch
 Status messages
 Such as 0/0
Function value, root, extremum
Or intersection is not visible
Current screen
 Hp 39g+ Graphing Calculator Warranty period 12 months
Limiting Warranty
 Limiting Warranty
 Service
 Rotc = Rest of the country
Canada 905 206-4663 or
 USA
Regulatory information
 Limiting Warranty
 Index
 Maximum real number 11-8 minimum real number
 Freeze 16-20 Line 16-20 Pixoff 16-20 Pixon 16-20 Tline
 Grobxor
Grobor
 Inverse hyperbolic cosine 11-8 inverse hyperbolic functions
 Break
 Angle measure 1-10 decimal mark 1-11 number format
 Order of precedence 1-21 overlaying plots 2-16,4-3 11-8
 Sending and receiving 16-8 structured
 Menu lists 1-8 speed searches
 Navigate around 3-8 numeric values 3-7 numeric view setup
 Index