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About solving equations

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About solving equations Solving equations () () ( )=0 - - N -KN T Page 6-2 Solving equations

Section	Page
prelim.pdf	9
Advanced functions	10
HP 49G on the World Wide Web	10
Regulatory information	10
USA	10
Connections to Peripheral Devices	11
Canada	11
Japan	11
End-user terms and conditions	11
Warranty	12
chapter1.pdf	16
The HP 49G’s keyboards	17
Row 1	19
Row 2	19
Row 3	20
Row 5	21
Row 6	21
Row 7	22
Row 8	22
Row 9	23
Row 10	23
Arrow keys	24
Key conventions	24
chapter2.pdf	26
Turning on	26
Changing the screen contrast	27
Turning off	27
Status area	28
History	29
Menu	30
Selecting a menu item	30
Multi-screen menus	31
Using the command line	31
Multi-line entries	32
Entering numbers	32
Positive numbers	32
Negative numbers	32
Integers and real numbers	32
Mantissa-and-exponent entry	33
Number displays	33
Entering characters	34
Entering a single upper-case character	34
Entering several upper-case characters	34
Entering a single lower-case character	34
Entering several lower-case characters	35
Unlocking the lower-case keyboard	35
Entering special characters	35
From the keyboard	35
Using the Characters tool	36
Entering from history	36
Editing the command line	37
Input forms	38
Input form fields	38
Data fields	38
Extended data fields	39
List fields	39
Check fields	40
Resetting values to their defaults	40
Input form help	40
Using calculated values as input	41
Closing an input form	41
Modes	42
Changing a mode	42
Calculator Modes	42
Display modes	43
CAS modes	44
Flags	44
Algebraic and RPN modes	45
Algebraic mode	45
RPN mode	46
Exact and approximate modes	46
Exact mode	47
Approximate mode	47
Command line calculations	48
Time Management	50
Setting the date and time	50
Changing the format of the date or time	51
Alarms	51
Appointment alarms	51
Setting an appointment alarm	52
Checking, changing, and deleting alarms	53
Control alarms	53
Setting a control alarm	54
chapter3.pdf	56
Editing an expression	57
Using Equation Writer	58
Implied multiplication	58
Entering e and i	58
Operating modes	59
Working with modes	59
Using Entry mode	59
Using Term selection mode:	60
Using Selection mode	60
Using Cursor mode	60
How Equation Writer sees expressions	61
Examples	62
Example 1	62
Example 2	62
Example 3	63
Equation Writer keys	63
To draw a non-statistical plot	67
To draw a statistical plot	69
Plot types	70
Function plots	70
Plot window parameters	70
Plot setup parameters	71
Parametric plots	72
Plot window parameters	73
Plot setup parameters	73
Plot window parameters	75
Plot setup parameters	76
Conic plots	77
Plot setup parameters	78
Plot window parameters	79
Truth plots	81
Plot window parameters	81
Plot setup parameters	82
Slopefield plots	83
Plot window parameters	83
Wireframe plots	84
Plot setup parameters	85
Pseudo-Contour plots	85
Plot window parameters	86
Plot setup parameters	86
Y-Slice plots	87
Plot window parameters	87
Plot setup parameters	88
Gridmap plots	88
Plot window parameters	88
Plot setup parameters	89
Plot window (1) parameters	90
Plot window (2) parameters	90
Plot setup parameters	90
Fast 3-D plots	91
Plot window parameters	91
Plot setup parameters	92
Statistical plots	92
Scatter plots	93
Plot window parameters	93
Bar charts	95
Plot window parameters	95
Plot setup parameters	96
Histograms	97
Plot window parameters	97
Plot setup parameters	97
Cursor movement	99
Standard cursor movement	99
Tracing a plot	99
Cursor coordinates	99
Zooming	100
To zoom in	100
To zoom out	100
Zoom options	100
Setting the zoom factor	101
Forcing a proportional zoom	101
Resetting the zoom default	101
Analyzing functions	101
Function analysis tools list	102
Finding roots	102
Finding extrema	102
Finding slopes	103
Finding areas	103
Finding intersections	103
Tables	104
Special plotting and table variables	105
EQ	105
PPAR	105
VPAR	106
TPAR	106
chapter5.pdf	108
Numeric option	109
Approx option	109
Other options	110
Using the computer algebra system	111
Inserting an expression onto the command line	113
Command line example	114
Working in Equation Writer	115
Performing substitutions	116
Expanding and factorizing	117
Expanding expressions	117
Expanding a part of the expression	118
Factorizing expressions	119
Example	119
Example	122
Calculus commands	123
Example	124
Setting step-by-step mode	125
Solving an equation	129
Interpreting results	130
Example	131
Finding a polynomial from a set of roots	133
Solving linear systems	133
Solving differential equations	136
Time-value-of-money calculations	138
Amortizing the calculation	139
chapter7.pdf	142
Creating a variable	142
Listing variables	143
Using File Manager	143
Using a variable in a calculation	144
User-defined functions	144
Creating a user-defined function	144
Evaluating a user-defined function	145
Directories	145
Creating a directory	146
Selecting a directory or variable	147
Method 1	147
Method 2	148
Method 3	148
Copying or moving a variable or directory	149
Memory Management	150
Using port memory	151
Selecting vector notation	154
Selecting an angle unit	154
Entering vectors	155
Vector mathematics	155
Lists	158
Creating arrays	159
Using the command line	160
Matrix arithmetic	162
Finding the determinant of a square matrix	163
Solving a system of linear equations	163
Single-variable statistics	167
Generating frequencies	168
Predicting a value based on the regression	170
Calculating summary statistics	170
Inferential statistics	171
Example data	171
Using inferential statistics	172
One-Sample Z-Test	173
Two-Sample Z-Test	174
Inputs	174
Results	174
One-Proportion Z-Test	175
Inputs	175
Results	175
Two-Proportion Z-Test	176
Results	176
Inputs	177
Results	177
Two-Sample T-Test	178
Inputs	178
Results	178
One-Sample Z-Interval	179
Inputs	179
Results	179
Inputs	179
Results	180
One-Proportion Z-Interval	180
Inputs	180
Results	180
Inputs	180
Results	181
Two-Sample T-Interval	182
Inputs	182
Results	182
The programming menu	186
Input data	188
How a program flows	188
Setting local variables to hold input arguments	191
Example	193
Looping and branching	195
Trapping errors	197
Example	198
Transferring data between two HP49Gs	200
When to replace the batteries	215
Halting the system	216
Resetting the memory	217
Error on start up	218
appendixe.pdf	222
Performing RPN calculations	223
Manipulating stack data	227
Interactive stack commands	227