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

question 34

Essay

Use the divergence theorem to evaluate  Use the divergence theorem to evaluate   where F(x, y, z) = 2y<sup>2</sup>x i + 2yz<sup>2</sup> j + 2x<sup>2</sup>y<sup>2</sup> k, n is the outer unit normal to  \sigma , and  \sigma  is the sphere x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup> = 4. where F(x, y, z) = 2y2x i + 2yz2 j + 2x2y2 k, n is the outer unit normal to σ\sigma , and σ\sigma is the sphere x2 + y2 + z2 = 4.


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