For each of the following, compute S F nd. a) S is the truncated paraboloid z

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For each of the following, compute ∫∫S F ∙ ndσ.
a) S is the truncated paraboloid z = x2 + y2, 0 < z < 1, n is the outward-pointing normal, and F(x, y, z) = (x, y, z).
b) S is the truncated half-cylinder z = √4 - y2, 0 < x < 1, n is outward-pointing normal, and F(x, y, z) = (x2 + y2, yz, z2).
c) S is the torus in Example 13.32, n is the outward-pointing normal, and F(x, y, z) = (y, -x, z).
d) S is the portion of z = x2 which lies inside the cylinder x2 + y2 = 1, n is the upward pointing normal, and F(x, y, z) = (y2z, cos(2 + log(2 - x2 - y2)), x2z).
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