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Note: This is not really a practice test as it is not by any means
inclusive. However, being able to do these problems will certainly
benefit you when you are taking the final exam.
- 1.
- (Vector Fields)
- (a)
- Page 964, #13.
- (b)
- Page 964, #14.
- (c)
- Page 964, #15.
- (d)
- Page 964, #17.
- 2.
- (Line Integrals)
- (a)
- Page 1018, #3.
- (b)
- Page 1019, #5.
- (c)
- Page 1019, #9.
- (d)
- Page 1019, #10.
- 3.
- (Independence of Path)
- (a)
- Page 1019, #6. Find a potential function and use the
fundamental theorem of calculus to evaluate the integral when
A=(0,0,1) and B=(1,2,3).
- (b)
- Page 1019, #7. (Use any method.)
- 4.
- (Green's Theorem)
- (a)
- Page 1019, #11.
- 5.
- (Surface Integrals, Stokes' Theorem, and Divergence Theorem)
- (a)
- Page 1019, #17. Use Stokes' Theorem to check your answer.
- (b)
- Page 1019, #19. Use the divergence theorem to check your answer.
Other things you should know include what flux and
circulation (what I called rotation in class) of fluid mean, how
they relate to divergence and curl, and how to relate them to a graph.
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Joshua Holden
12/9/1999