## Math 190 - Chapters 7-8 Study Guide

- Evaluate each integral using integration by parts. Three parts. Look at problems 7.1.1 -
7.1.31.
- Evaluate each improper integral if it converges. Three parts. Look at problems 7.4.15 -
7.4.39.
- Show that the given function is a probability function on the specified interval. Look at
problems 7.5.1 - 7.5.7.
- Evaluate a multi-variate function. Look at problems 8.1.1 - 8.1.9.
- Find the domain of a multi-variate function. Two parts. Look at problems 8.1.11 - 8.1.18.
- Find the first partial derivatives of the function. Two parts. Look at problems 8.2.1 - 8.2.21.
- Find the second-order partial derivatives of the function. Look at problems 8.2.33 - 8.2.39.

### Notes:

- There is a take-home portion of the exam worth 50 points and an in-class portion of the exam
worth 50 points. The take home portion of the exam is due the day of the in-class portion of
the exam.

# |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
Total |

Pts |
12 |
12 |
3 |
3 |
4 |
8 |
8 |
50 |