Question: In Problems 1-3, use Gauss's Divergence Theorem to calculate 1. F(x, y, z) = z i + x j + y k; S is the

In Problems 1-3, use Gauss's Divergence Theorem to calculate

1. F(x, y, z) = z i + x j + y k; S is the hemisphere 0 ( z ( (9 - x2 - y2.
2. F(x, y, z) = x i + 2y j + 3z k; S is the cube 0 ( x ( 1, 0 ( y ( 1, 0 ( z ( 1.
3. F(x, y, z) = cos z2 i + y j + cos x2 k; S is the cube -1 ( x ( 1, -1 ( y ( 1, -1 ( z ( 1.

F-n dS as

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