Unformatted text preview: are all the vectors you can make using 0 and 1 as coordinate entries). Let D have the orientation given by outward normal vectors, and let C be the boundary of D with the induced orientation. For the vector ±eld F = ( M, N, P ) = (2 x, x 2 y + z, xyz ), compute R C Mdx + Ndy + P dz . 4. (25 points) Let Σ be the paraboloid z = x 2 + y 2 which lies between the planes z = 0 and z = 1. Compute R R Σ z dS ....
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 Spring '08
 Wolfe
 Math, Calculus, Euclidean vector, Manifold, Vector field

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