Let S be the closed surface of the paraboloid of revolution z = ±(4 − x2 − y2 ) where −2 x, y +2. Evaluate the following surface integral directly and then by using the divergence theorem; where R is the position vector to a point on the surface and is the outward pointing normal at that point.
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The Surface Integral of a Paraboloid of Revolution is found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.