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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 − 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 = ±(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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