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

Dr. Gareth Roberts

Homework Assignment #2

Due Thursday, January 31, 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 5.2, pp. 364 - 366
Problems:   1, 2, 8, 9, 31, 32, 34, 37, 42, 43

Section 5.3, pp. 374 - 376
Problems:   2, 5, 6, 7, 8, 15, 17, 20, 27, 28, 63

Hint: For problem #28, draw a sketch of the integrand. How does the absolute value sign effect the graph? Then break the integral into two pieces and evaluate each piece.

Section 5.4, pp. 383 - 385
Problems:   5, 6, 7, 10, 12

Hint: For problem #12, set u = x^2 and compute h'(u). Then use the chain rule to find h'(x).