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Unformatted text preview: F ( x, y, z ) = h xz, , x 2 y i (a) Find curl F (b) Find div F (c) Find ( F ) (d) Is there a potential function, f , for which f = F ? Explain. 6. [10pt] Find the area of the surface which is described by the parametric equations x = uv, y = u + v, z = u-v , where u 2 + v 2 1. 7. [10pt] SET UP (dont evaluate) an iterated integral (include the appropriate limits of integration) whose value gives the area of the surface z = x 2 + 3 y that lies inside the cylinder x 2 + y 2 = 4. 8. [16pt] Evaluate the following surface integral : ZZ S y dS where S is the the part of the cylinder y 2 + z 2 = 4 that lies between x = 1 and x = 4....
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This note was uploaded on 01/24/2011 for the course MATH 22 taught by Professor Brigham during the Winter '08 term at Missouri S&T.
- Winter '08