Calculus for Social Sciences 2

Homework Assignment #7

Due Wednesday, March 20, 1:00 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 8.2
Problems:   3, 6, 9, 13, 16, 20, 25, 30, 34, 37, 41

Note: Problem #41 is an economics application involving the Cobb-Douglas Production Formula (you may have already studied this in your economics classes). Refer to the introduction and example in the text on p. 615.

Section 8.3
Problems:   3, 4, 7, 12, 23, 25

Note: On the word problems #23 and #25, be sure to use the second derivative test to verify you have found a relative max or relative min. In problem #25, let (x,y) be variables for the location of the power station. Using the distance formula, find the sum of the squares of the distances from (x,y) to each point. This will give you a function of two variables x and y which you can then minimize.