Calculus for the Phys./Life Sciences 1

(Sections 02 and 04)

Homework Assignment #4

Due Wednesday, October 5, 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 2.1 (pp. 71 - 72)
Problems:   2, 5, 6, 8, 11, 12, 14, 18

Section 2.2 (pp. 78 - 80)
Problems:   1, 10, 12, 13, 16, 22, 33, 34, 39, 40

Note: For problems 33 and 34, you should use the limit definition of the derivative at a point to compute the given derivatives. Then, use your answers to find the equations of the tangent lines in problems 39 and 40.

Section 2.3 (pp. 86 - 88)
Problems:   1, 4, 8, 16, 19, 20, 28, 31, 40, 42

Note: For problem #16, use the limit definition of the derivative to find m'(x). In problem #20, use the natural logarithm, ln(x), instead of log(x).