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Unformatted text preview: Z C xydx + e y dy where C is the path from (0 , 0) to (1 , 1) along the graph of y = x 2 and from (1 , 1) to (0 , 0) along the graph of y = x. 5 4.(20 points) Find the area of the part of the surface with parametric equations x = u + v, y = uv, z = uv, u 2 + v 2 2 6 5.(15 points) For F = xy i + ( y 2x 2 ) j + x 2 z 2 k nd curl F and div F . 7 6.(20 points) Suppose that f is a scalar function and F is a vector eld on R 3 . Prove the identity curl( f F ) = f curl F + f F assuming that the appropriate partial derivatives exist and are continuous....
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This note was uploaded on 05/01/2008 for the course MATH 32B taught by Professor Rogawski during the Winter '08 term at UCLA.
 Winter '08
 Rogawski
 Math

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