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.