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Unformatted text preview: F ) where F = (y cos(z)) i + (x sin(z)) j + (xy) k and indicate whether or not the vector field F is conservative. Justify your answer. 6. (12 pts.) Find and equation for the tangent plane to the parametric surface r (u,v) = v 2 i + u 2 j- uv k with 1 = u = 2, and -2 = v = 2sin(u p/2). At the point (1, 1, -1). 7. (12 pts.) Set up but do not evaluate an integral for the surface area of the parametric surface r (u,v) = u 2 i- uv j + v 2 k with 1 = u = 2, and -2 = v = 2sin(u p/2). 8. (12 pts.) Evaluate the surface integral xydS S ∫∫ where S is the part of the plane z = 2y + x inside the cylinder x 2 + y 2 = 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