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

Dr. Gareth Roberts

Homework Assignment #8

Due Thursday, April 10, 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 7.1, pp. 503 - 504
Problems:   2, 3, 4, 5, 6, 7, 10

Hints: For problem #7a, is there an "easy" solution to the ODE? For problem #10, factor the right-hand side of the ODE first.

Section 7.2, pp. 511 - 513
Problems:   2, 3, 4, 5, 6, 9, 18, 19, 22, 24

Hints: For problem #2b, try and right down all the equilibrium points, not just the ones you see in the figure. For problem #18, note that the ODE is autonomous. What does that mean for the direction field?