Operation Manual

Chapter 17: Activities 317
7. Press † to move to the path of the ball. Notice the values of X and Y (T is unchanged). Notice
where the cursor is located. This is the position of the ball when the ferris wheel passenger passes
the intersection. Did the ball or the passenger reach the intersection first?
You can use r to, in effect, take snapshots in time and explore the relative behavior of two
objects in motion.
Demonstrating the Fundamental Theorem of Calculus
Problem 1
Using the functions fnInt( and nDeriv( from the FUNC shortcut menu or the MATH menu to graph
functions defined by integrals and derivatives demonstrates graphically that:
and that
Procedure 1
1. Select the default settings y L7 2 2. Press z to view.
2. Press p. Set the viewing window.
3. Press o. Turn off all functions and stat plots. Enter the numerical integral of 1àT from 1 to X and
the function ln (X). Set the graph style for
Y1 to ç (line) and Y2 to ë (path). Set DetectAsymOff,
Xmin=.01
Xmax=10
Xscl=1
Ymin=
L1.5
Ymax=2.5
Yscl=1
Xres=3