Unformatted text preview: F ( x, y, z ) = h xz, , x 2 y i (a) Find curl F (b) Find div F (c) Find โ ยท ( โ ร F ) (d) Is there a potential function, f , for which โ f = F ? Explain. 6. [10pt] Find the area of the surface which is described by the parametric equations x = uv, y = u + v, z = uv , where u 2 + v 2 โค 1. 7. [10pt] SET UP (donโt 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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 Winter '08
 BRIGHAM
 Math, Vector Calculus, cylinder x2, xy dy

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