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 4.1**

Problems: 5, 6, 17, 21, 24, 33, 36, 41, 45, 46, 51, 54, 59, 64, 75

**Note:** For problems 45 and 46, be sure to explain your answers thoroughly.
For problems 51, 54, 59, and 64, use only the first-derivative test to
determine whether the critical point is a min, max or neither.

**Section 4.2**

Problems: 5, 7, 9, 12, 17, 25, 32, 46, 53, 57, 60, 67, 76

**Note:** In problems 9 and 12, be sure to explain your answers thoroughly.