Preview Of The Numeric Solver - Texas Instruments TI-89 Manual Book

Preview of the Numeric Solver

Consider the equation a=(m2ì 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.
Steps
1. Display the Numeric Solver.
2. Enter the equation.
When you press ¸ or D , the
screen lists the variables used in the
equation.
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.
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.
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 leftì rt . If the solution is
precise, leftì rt=0 .
6. Graph the solution using a
viewing window.
ZoomStd
The graph is displayed in a split
screen. You can explore the graph by
tracing, zooming, etc.
7. Return to the Numeric Solver
and exit the split screen.
You can press ¸ or D to
redisplay the list of variables.
334 Chapter 19: Numeric Solver
³
TI-89 TI-92 Plus
Keystrokes Keystrokes
O 9 O 9
j A Á c A Á c
j M 2 | M 2 |
j M 1 d e c M 1 d e c
j M 2 « M 2 «
j M 1 d p M 1 d p
j G ¸ G ¸
D 1 0 D D D 1 0 D D
9 . 8 C C C 9 . 8 C C C
j G e 3 G e 3
D D D D
„ „
... 3 ... 3
2 a 2 a
... 2 ... 2
›
Display
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
leftìrt is on the y axis.