Calculus for the Phys./Life Sciences 1

(Sections 02 and 04)

Homework Assignment #8

Due Wednesday, November 9, START of Class

Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to the 4th edition 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.

Note: Please list any students or faculty who you worked with on the assignment.

Section 3.10 (pp. 158 - 159)
Problems:   4, 6, 7, 8, 10, 17

Hint: For problem #17, use the Mean Value Theorem.

Section 4.1 (pp. 172 - 175)
Problems:   4, 6, 7, 18, 19, 20, 22, 28, 36, 42

Hint: For problem #36, you are given that x=3 is the only critical point and that f is differentiable everywhere. What does this mean about the derivative for x < 3 and for x > 3? Be sure to draw a graph for each part (a) - (d).

Section 4.3 (pp. 186 - 189)
Problems:   2, 6, 8, 10, 20, 22, 26

Section 4.5 (pp. 202 - 206)
Problems:   4, 14, 18