Let S be the oriented surface parametrized by F(u, v) (u, v, (1-) (4-)) for (u,...
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Let S be the oriented surface parametrized by F(u, v) (u, v, (1-²) (4-²)) for (u, v) in the rectangle [-1, 1] x [-2,2]. (a) (3 points) Compute the normal vectors F₁ X F. (b) (4 points) Compute the total flux of the vector field F(x, y, z) = (0,0, zy) through S. Let S be the oriented surface parametrized by F(u, v) (u, v, (1-²) (4-²)) for (u, v) in the rectangle [-1, 1] x [-2,2]. (a) (3 points) Compute the normal vectors F₁ X F. (b) (4 points) Compute the total flux of the vector field F(x, y, z) = (0,0, zy) through S.
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