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A plane is designed to fly through the wind of having force field (2xy +z)i + y2j – (x+3y)k and engineers have designed the shape of the plane as the common region of intersecting regions 8-(x2 + y2)=z and -8 +(x2 + y2)=z. You are required to calculate the surface integral of the plane due to the motion of the wind by the means of the divergence theorem.
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