Math 221: Chapter 12 Exam Study Guide

  1. Given two points, find a vector-valued function for the segment between them.
  2. Represent the curve as a vector-valued function. Two parts.
  3. Find the limits. Two parts.
  4. Given two vectors, find their derivatives, the derivative of the dot product, and the derivative of the cross product.
  5. Find the indicated integral. Two parts.
  6. Given a two dimensional position function, find the velocity, acceleration, and speed at a specific time. Then sketch the velocity, acceleration, unit tangent, and unit normal vectors on the graph and label them.
  7. Find the curvature and radius of curvature for an explicitly defined plane curve.
  8. Find the tangential and normal components of acceleration.
  9. Find the length of the space curve.
  10. Application problem involving path of a projectile.
  11. Find the unit tangent, normal, and binormal vectors at the indicated point. Also find the curvature at the same point.


Points per problem

# 1 2 3 4 5 6 7 8 9 10 11 Total
Pts 5 10 10 15 10 10 10 5 5 10 10 100