17–6 Applications
82501F~1.DOC TI-83 international English Bob Fedorisko Revised: 10/26/05 1:49 PM Printed: 10/27/05 3:04
PM Page 6 of 20
Using a graph, solve the equation X
3
N 2X = 2cos(X). Stated
another way, solve the system of two equations and two
unknowns: Y = X
3
N2X and Y = 2cos(X). Use ZOOM factors to
control the decimal places displayed on the graph.
1. Press z. Select the default mode settings. Press o. Turn
off all functions and stat plots. Enter the functions.
2. Press q 4 to select 4:ZDecimal. The display shows that
two solutions may exist (points where the two functions
appear to intersect).
3. Press q ~ 4 to select 4:SetFactors from the ZOOM
MEMORY
menu. Set XFact=10 and YFact=10.
4. Press q 2 to select 2:Zoom In. Use |, ~, }, and † to
move the free-moving cursor onto the apparent intersection
of the functions on the right side of the display. As you move
the cursor, notice that the
X and Y values have one decimal
place.
5. Press Í to zoom in. Move the cursor over the
intersection. As you move the cursor, notice that now the
X
and Y values have two decimal places.
6. Press Í to zoom in again. Move the free-moving cursor
onto a point exactly on the intersection. Notice the number
of decimal places.
7. Press y [
CALC] 5 to select 5:intersect. Press Í to
select the first curve and Í to select the second curve.
To guess, move the trace cursor near the intersection. Press
Í. What are the coordinates of the intersection point?
8. Press q
4 to select 4:ZDecimal to redisplay the original
graph.
9. Press q. Select
2:Zoom In and repeat steps 4 through 8
to explore the apparent function intersection on the left side
of the display.
Solving a System of Nonlinear Equations
Problem
Procedure
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