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

Question 37

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Use the divergence theorem to evaluate  Use the divergence theorem to evaluate   where F(x, y, z) = 4x<sup>2</sup> i + 4y<sup>2</sup> j + 4z<sup>2</sup> k, n is the outer unit normal to  \sigma , and  \sigma  is the surface of the cube enclosed by the planes 0  \le  x  \le  1, 0  \le  y  \le  1, and 0  \le  z  \le  1. where F(x, y, z) = 4x2 i + 4y2 j + 4z2 k, n is the outer unit normal to σ\sigma , and σ\sigma is the surface of the cube enclosed by the planes 0 \le x \le 1, 0 \le y \le 1, and 0 \le z \le 1.

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