Math 260

Exam 2

 

  1. Compute each limit or show that it does not exist:

 

a)

 

b)

 

  1. Find the tangent plane to at the point (-2,1,0).
  2. Let Calculate  and
  3. Let Find and .
  4. Find the direction of greatest increase of at (2,-2,4). What is this maximum rate of increase?
  5. What point on the plane  is closest to the origin? What is this minimum distance?
  6. Find and classify all critical numbers of