## Math 122 - Chapter 10-11.3 Study Guide

1. Solve the differential equation. Two parts. Look at problems 10.1.9-24
2. Solve the initial value differential equation. Look at problems 10.1.27-32
3. Use the direction field to sketch the integral curve. Look at problem 10.2.19.
4. Match the differential equation with the direction field. Look at problem 10.2.9
5. Write the first five terms of the sequence, determine whether the sequence converges, and if so, find its limit. Two parts. Look at problems 11.1.5-22
6. Find the general term of the sequence, starting with n=1, determine whether the sequence converges, and if so, find its limit. Two parts. Look at problems 11.1.23-30
7. Use the difference of consecutive terms to show that a sequence is strictly montonic. Look at problems 11.2.1-6
8. Use the ratio of consecutive terms to show that a sequence is strictly montonic. Look at problems 11.2.7-12
9. Use differentiation to show that a sequence is strictly montonic. Look at problems 11.2.13-18
10. Determine whether the series converges, and if so, find its sum. Three parts. Look at problems 11.3.3-14

### Notes:

• The in-class portion of the exam is worth 70 points, the take home portion is worth 30 points.
• The take home portion of the exam is due the day after the in-class exam.
 # 1 2 3 4 5 6 7 8 9 10 Total Pts 10 5 3 9 8 8 5 5 5 12 70