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Procedure
1. Press z. Select the default mode settings.
2. Press p. Set the viewing window.
3. Press o. Turn off all functions and stat plots. Enter the upper and
lower functions.
Y1=300Xà(X
2
+625)
Y2=3cos(.1X)
4. Press y / 5 to select 5:Intersect. The graph is displayed. Select a
first curve, second curve, and guess for the intersection toward the
left side of the display. The solution is displayed, and the value of
X
at the intersection, which is the lower limit of the integral, is stored
in Ans and X.
5. Press y 5 to go to the home screen. Press y< 7 and use
Shade( to see the area graphically.
Shade(Y2,Y1,Ans,75)
6. Press y 5 to return to the home screen. Enter the expression to
evaluate the integral for the shaded region.
fnInt(Y1NY2,X,Ans,75)
The area is 325.839962.
Using Parametric Equations: Ferris Wheel Problem
Problem
Using two pairs of parametric equations, determine when two objects in
motion are closest to each other in the same plane.
Xmin=0
Xmax=100
Xscl=10
Ymin=
L5
Ymax=10
Yscl=1
Xres=1