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) = x2 i + y2 j + z2 k, S is the boundary of the solid half-cylinder 0 < z < √1 - y2 , 0 < x < 2
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Here S consists of four surfaces S the top surface a portion of the circular cylin...View the full answer
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