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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 Winter '08
 BRIGHAM
 Integrals, Vector Calculus, pts, Line integral, Vector field

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