## Math 122 - Chapter 10-11.3 Study Guide

- Solve the differential equation. Two parts. Look at problems 10.1.9-24*
- Solve the initial value differential equation. Look at problems 10.1.27-32*
- Use the direction field to sketch the integral curve. Look at problem 10.2.19.
- Match the differential equation with the direction field. Look at problem 10.2.9
- 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*
- 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*
- Use the difference of consecutive terms to show that a sequence is strictly montonic. Look at
problems 11.2.1-6*
- Use the ratio of consecutive terms to show that a sequence is strictly montonic. Look at
problems 11.2.7-12*
- Use differentiation to show that a sequence is strictly montonic. Look at problems 11.2.13-18*
- Determine whether the series converges, and if so, find its sum. Three parts. Look at
problems 11.3.3-14*

### Notes:

- *'d problems are directly from the text.
- 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 of 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 |