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Use the Divergence Theorem to Evaluate Where F(x, Y σ\sigma

Question 35

Essay

Use the divergence theorem to evaluate Use the divergence theorem to evaluate where F(x, y, z) = (x<sup>3</sup> + 3xy<sup>2</sup>)i + z<sup>3</sup> k, n is the outer unit normal to \sigma , and \sigma is the surface of the sphere of radius a centered at the origin. where F(x, y, z) = (x3 + 3xy2)i + z3 k, n is the outer unit normal to σ\sigma , and σ\sigma is the surface of the sphere of radius a centered at the origin.

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