Evaluate the surface integral S F dS for the given vector field F and the
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Evaluate the surface integral ʃʃS F • dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation.
F(x, y, z) = 2x i - y j + z3 k, S is the part of the cone z = √x2 + y2 between the planes z = 1 and z = 3 with downward orientation
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