Calculus for the Phys./Life Sciences 2

Homework Assignment #1

Due Wednesday, January 22, 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. Please list any students or faculty who you worked with on the assignment.

Chapter 5 Review pp. 252-257
Problems:   2, 4, 5, 8, 11 - 14, 18, 20, 22, 23, 29, 34

Note: Be clever how you estimate integrals. If it is geometrically easy to estimate the area under a curve, then you do not need to use left-hand or right-hand sums. For problem #8 you should estimate the distance traveled using left and right-hand sums. Be sure to explain your answers for #20 and #23.

For problem $29, you can use the Fundamental Theorem of Calculus by finding an anti-derivative. First find an anti-derivative to e^t, then e^(2t), then e^(kt) for any constant k. For problem #34, you should assume that the hot-air balloon started at ground level, s(0) = 0.

Section 6.1
Problems:   1, 2, 3, 7 - 10, 16, 17, 21

Note: For problem #21 be sure to explain your answer.