Calculus for Social Sciences 1

Homework Assignment #7

Due Friday, Oct. 19th, 3:00 pm

Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to Tan's 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.

Section 3.2
Problems:   5, 6, 12, 15, 22, 30, 31, 33, 39, 40, 45, 46, 53

Important: For problems 5, 6 and 12, use two methods to compute the derivative: a) use the product rule, b) multiply out the expression and differentiate each term . Make sure your two answers agree.

Hint: Problems 31 and 33 are excellent conceptual questions, testing your understanding of the product and quotient rules. Differentiate the expressions given before plugging in the numerical values. You might try calling the numerator in #33 "u" and the denominator "v" and apply the quotient rule to u/v. As you do this, the product rule is needed.

Section 3.3
Problems:   7, 12, 16, 21, 41, 47, 50, 53, 55, 60, 70