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Double integral, vectors

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Please see attachment, I wrote the task in latex, previewed it and took a screen shot. Task is as follows:

A spherical surface K is given by the equation x^2 + y^2 + z^2 = 25.

Let S be the part of the spherical surface that is above the plane z=4.

Calculate the plane integral int(int(vect'F' * vect'n' dS)) defined by S. Vect'F'=[y^2-xz , x^2-yz , z^2-xy] and vect'n' is unit normal vector to the surface S with positive third coordinate.

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This solution is comprised of a detailed explanation to calculate the plane integral int(int(vect'F' * vect'n' dS)) defined by S.

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