Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to the Hughes-Hallett, Gleason, McCallum, et al. book, the required text for the course. You should write up solutions neatly to all problems, making sure to SHOW ALL YOUR WORK. A nonempty subset will be graded. You are strongly encouraged to work on these problems with other classmates, although the solutions you turn in should be YOUR OWN WORK.

**At the top of your assignment, please list any students or faculty who you worked with
on the assignment.** If you received help at the Calculus
Workshop please include "Calculus Workshop" in your list as well.

**Section 4.6**

Problems: 3, 4, 6, 7, 10

**Section 4.7**

Problems: 1, 3, 9, 11, 12, 20, 21

**Hints:** For problem #20, define the function h(x) = f(x) - g(x). What is h'(x) and h(5)?
Use this information to find a simple expression for h(x) and finish the proof.
For problem #21, apply the Mean Value Theorem.