Calculus for the Phys./Life Sciences 1

(Sections 02 and 04)

Homework Assignment #5

Due Friday, October 14, 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 2.4 (pp. 91 - 92)
Problems:   2, 8, 14, 18

Section 2.5 (pp. 97 - 98)
Problems:   2, 3, 4, 5, 12, 14, 16, 20, 21

Note: For problem #16b, "bottoming out" means the stocks price is declining and is beginning to level out at a fixed value.

Section 2.6 (pp. 101 - 103)
Problems:   1, 2, 3, 10, 12, 15

Section 3.1 (pp. 115 - 117)
Problems:   8, 16, 22, 28, 35, 42, 58, 60, 64

Hint: For problem #35, simplify the expression first, then take the derivative. For problem #42, the variables are w and q, so a and b are just constants. One interpretation of the Leibniz notation dw/dq is to take "the derivative of w with respect to q." Thus q is the input (domain) variable and w is the output (range) variable.