Math 122: Chapter 10 Exam Study Guide

In-Class Exam

  1. Convert the rectangular equation into polar form. Solve for r or r2 if possible. (4 parts)
  2. Convert the polar equation into rectangular form. (4 parts)
  3. Identify the type of conic section. (3 parts)
  4. Write the polar equation of the graphed relation. These could involve roses, lemniscates, limaçons, cardiods, circles, ellipses, hyperbolas, parabolas, lines, and spirals. (9 parts)
  5. You are given a parametrically defined curve on an interval.
    1. Find dy/dx
    2. Find the equation of the line tangent to the curve at the indicated point.
    3. Find the length of the curve.
  6. You are given an equation in polar form.
    1. Find the length of the curve.
    2. Find the area of the region bounded by the curve.
    3. 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).
  7. Find the rectangular equation of the described conics. (3 parts).
  8. Find the polar equation for the described conic with a focus at the pole. (3 parts)

Take Home Exam

  1. Rotation of conics
  2. Rotation of conics
  3. Conics in polar form
  4. Conics in polar form
  5. LORAN-C problem


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