Calculus for the Phys./Life Sciences 1

Homework Assignment #8

Due Wednesday, November 13, start of class

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 3.6
Problems:   1, 6, 9, 18, 23, 31, 32, 46, 49

Hint: For problem #49, they are asking at what rate is the volume of the balloon expanding. The volume of a sphere is v = (4/3)*Pi*r^3.

Section 3.7
Problems:   1, 2, 8, 17, 18, 21, 24

Section 3.8
Problems:   1, 4, 5, 13, 14, 15, 22, 26, 31

Section 3.9
Problems:   1, 6

Section 3.10
Problems:   2, 3, 5, 6, 11, 13, 14

Hint: For problem #3, you need to apply L'Hopitals rule twice. For problem #11, compute the limit of the quotient of ln(x+3)/x^(0.2). Who wins the race as x -> infinity, the top or the bottom?