Calculus for the Social Sciences II (Sections 01 and 02)

Dr. Gareth Roberts

Homework Assignment #4

Due Thursday, February 21, START of Class

Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to Single Variable Calculus, Concepts and Contexts 3rd ed., by Stewart, 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 staple your assignment.
Important: At the top of your homework, please list the names of any students or faculty who you worked with on the assignment.

Section 5.6, pp. 398 - 399
Problems:   2, 3, 4, 5, 7, 10, 11, 15, 16, 18, 21, 28

Hint: In problem #28, let u = sqrt(x) and write du in terms of u. Substitution will then yield an integral you can do using integration by parts.

Section 5.7, pp. 404 - 405
Problems:   9, 11, 14, 17, 18, 19, 20, 21, 22

Hint: In problem #14, after making the correct trig. sub., you should use the identity sin^2 theta = 1 - cos^2 theta to obtain an integrand that, after some algebra, can be split into two pieces, one of which requires a u-sub.