Practice exam 2.pdf - PRACTICE EXAM#2 This review sheet only gives you the guideline on what kind of problems will be on the exam the real exam will be

Practice exam 2.pdf - PRACTICE EXAM#2 This review sheet...

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PRACTICE EXAM #2 This review sheet only gives you the guideline on what kind of problems will be on the exam, the real exam will be very different from it. All material before Chapter 5 in the textbook will be covered in the second exam. 1. Suppose ~ F = ( ax 2 y + y 3 + 1 , 2 x 3 + bxy 2 + 2) is a gradient vector field. (1.) Find the values of a and b . (2.) Is ~ F also the curl of a vector field? Explain why? 2. Find the critical points of f ( x, y ) = x 3 y 2 (12 - x - y ), and use the second derivative test to classify them. 3. Find the extreme points and their values of f ( x, y, z ) = x + y + z subject to the
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  • Fall '10
  • Khan
  • Calculus, Vector field, Laplace operator, gradient vector field

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