Consider the solid D given by D = {(x, y, z) € R³; x² + y² ≤ z ≤ 2 − √√x² + y²} Let F(x, y, z) = (2xz + e³²)i + (y²z + arctan(x2))j – yz²k be a vector field defined on D. Let S be the boundary of D. Use Divergence Theorem to calculate [fe. F.ñ do where n is the outward unit normal of the surface S.

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