Calculus for the Phys./Life Sciences 2

Homework Assignment #3

Due Wednesday, February 8, 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. Be sure to STAPLE your assignment so pages will not be lost.

Note: Please list any students or faculty who you worked with at the top of your assignment.

Section 7.1
Problems:   4, 12, 19, 20, 22, 31, 32, 34, 48, 54, 56, 80

Section 7.2
Problems:   6, 7, 16, 18, 30, 32, 33, 36, 42, 43, 45

Hint: The important thing for integration by parts is to pick the correct u and dv. You want to choose u so that du is simpler and you want to pick dv so that you can find its antiderivative v. Occasionally you may need to apply integration by parts twice or perhaps, choose dv = 1 and u = the integrand.

Section 7.3
Problems:   8, 14, 18, 25, 26, 29, 34

Hint: Be sure to indicate which formula in the integral table you use to find the antiderivative. For #34, try completing the square in the denominator first, then make an appropriate u-substitution before using the table.