Using the Divergence Theorem, Find the Outward Flux of F

question 121

Multiple Choice

Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.
- $$\mathbf { F } = x ^ { 2 } \mathbf { i } + y ^ { 2 } \mathbf { j } + z \mathbf { k } \text {; D: the solid cube cut by the coordinate planes and the planes } x = 3 , y = 3 \text {, and } z = 3$$

• A) 189
• B) 164
• C) 81
• D) 108

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