# Math 122: Chapter 10 Exam Study Guide

## In-Class Exam

- Convert the rectangular equation into polar form. Solve for
*r* or *r*^{2} if possible. (4 parts)
- Convert the polar equation into rectangular form. (4 parts)
- Identify the type of conic section. (3 parts)
- Write the polar equation of the graphed relation. These could involve roses, lemniscates, limaçons, cardiods, circles, ellipses, hyperbolas, parabolas, lines, and spirals. (9 parts)
- You are given a parametrically defined curve on an interval.
- Find dy/dx
- Find the equation of the line tangent to the curve at the indicated point.
- Find the length of the curve.

- You are given an equation in polar form.
- Find the length of the curve.
- Find the area of the region bounded by the curve.
- Find the area of the surfaced generated when a portion of the curve is rotated about either the polar axis (x-axis) or the θ = π/2 axis (y-axis).

- Find the rectangular equation of the described conics. (3 parts).
- Find the polar equation for the described conic with a focus at the pole. (3 parts)

## Take Home Exam

- Rotation of conics
- Rotation of conics
- Conics in polar form
- Conics in polar form
- LORAN-C problem

## Notes

- For problems requiring integration, first write the appropriate integral and then use the numeric integration feature of your calculator to approximate the value.
- There is a take home exam worth 40 points. It is due the day of the regular exam.
- There are 110 possible points.
- Bring a printed copy of your technology project with you if you would like to use it on the exam.

## Points per problem

# |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
Take Home |
Total |

Pts |
8 |
8 |
6 |
18 |
6 |
6 |
9 |
9 |
40 |
110 |