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# Surface Integral of a Paraboloid of Revolution

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Let S be the closed surface of the paraboloid of revolution z = ±(4 &#8722; x2 &#8722; y2 ) where &#8722;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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3. 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;

I =

where R is the position vector to a point on the surface and is the outward pointing
normal at that point.

Let's first only think about the paraboloid with ...

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