Preview of the numeric solver – Texas Instruments PLUS TI-89 User Manual

Page 351

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334 Chapter 19: Numeric Solver

19SOLVER.DOC TI-89/TI-92 Plus: Numeric Solver (English) Susan Gullord Revised: 02/23/01 1:16 PM Printed: 02/23/01 2:19 PM Page 334 of 10

Steps

³

TI-89

Keystrokes

TI-92 Plus

Keystrokes

Display

1. Display the Numeric Solver.

O 9

O 9

2. Enter the equation.

When you press

¸

or

D

, the

screen lists the variables used in the
equation.

j A Á c
j M 2 |
j M 1 d e c
j M 2 «
j M 1 d p
j G ¸

A Á c
M 2 |
M 1 d e c
M 2 «
M 1 d p
G ¸

3. Enter values for each variable,

except the unknown variable

m1

.

Define

m2

and g first. Then define a.

(You must define g before you can
define a in terms of g.) Accept the
default for bound. If a variable has
been defined previously, its value is
shown as a default.

D 1 0 D D
9 . 8 C C C
j G e 3

D 1 0 D D
9 . 8 C C C
G e 3

4. Move the cursor to the unknown

variable

m1

.

Optionally, you can enter an initial
guess for m1. Even if you enter a
value for all variables, the Numeric
Solver solves for the variable marked
by the cursor.

D D

D D

5. Solve for the unknown variable.

To check the solution’s accuracy, the
left and right sides of the equation are
evaluated separately. The difference
is shown as left

ì

rt

. If the solution is

precise, left

ì

rt=0

.

6. Graph the solution using a

ZoomStd

viewing window.

The graph is displayed in a split
screen. You can explore the graph by
tracing, zooming, etc.

… 3

… 3

7. Return to the Numeric Solver

and exit the split screen.

You

can

press

¸

or

D

to

redisplay the list of variables.

2 a
… 2

2 a
… 2

Preview of the Numeric Solver

Consider the equation a=(m2

ì

m1)/(m2+m1)

ù

g, where the known values are m2=10 and

g=9.8. If you assume that a=1/3 g, find the value of m1.

g/3 is evaluated when you
move the cursor off the line.

é

marks the calculated values.

The variable marked by the
cursor (unknown variable
m1) is on the x axis, and
left

ì

rt is on the y axis.

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