1. Read Sections 11.2, 11.3, 11.4 of Stewart, Calculus.
2. Stewart, Section 11.2, Exercises 11, 17, 25, 35, [optional 40].
3. Stewart, Section 11.3, Exercises 2, 3, 6, 7, 11, 51, [optional 57].
4. Stewart, Section 11.4, Exercises 1, 6, 35.
5. Stewart, Section 11.5, Exercises 5, 20, 23, 31.
6. Stewart, Section 11.7, Exercises 1-6, 41, 42, 47, 58, 68, 73, 74.
7. Stewart, Section 11.8, Exercises 1,2, 7, 10.
8. Senthil is walking in a straight line at 1 meter per second, and
throws a tennis ball stright up in the air at 1 meter per second. Relative
to its starting position the ball follows the trajectory
x = (1 ms^-1) t
z = (1 ms^-1) t - (5 ms^-2) t^2
how far does the ball travel before Senthil catches it as it returns to
it's starting height?