Using the Divergence Theorem, Find the Outward Flux of F

question 29

Multiple Choice

Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.
- $\mathbf { F } = ( \mathrm { y } - \mathrm { x } ) \mathbf { i } + ( \mathrm { z } - \mathrm { y } ) \mathbf { j } + ( \mathrm { z } - \mathrm { x } ) \mathbf { k } ; \mathrm { D }$ ; the region cut from the solid cylinder $\mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } \leq 9$ by the planes $\mathrm { z } = 0$ and $\mathrm { z } = 5$

• A) 0
• B) \(45 \pi\)
• C) \(- 45\)
• D) \(- 45 \pi\)

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