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.
Problems: 3, 4, 6, 7, 10
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.