# Surface Integral of a Paraboloid of Revolution

Let S be the closed surface of the paraboloid of revolution z = Â±(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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3. Let S be the closed surface of the paraboloid of revolution z = Â±(4 âˆ’ x2 âˆ’ y2 )

where âˆ’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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