Find the Flux of the Curl of Field F Through

question 25

Multiple Choice

Find the flux of the curl of field F through the shell S.
- $\mathbf { F } = 7 \mathrm { yi } - 5 \mathrm { z } \mathbf { j } - 5 \mathrm { x } \mathbf { k } ; \mathrm { S } : \mathbf { r } ( \mathrm { r } , \theta ) = \mathrm { r } \cos \theta \mathbf { i } + \mathrm { r } \sin \theta \mathbf { j } + \left( 36 - \mathrm { r } ^ { 2 } \right) \mathbf { k } , 0 \leq \mathrm { r } \leq 6$ and $0 \leq \theta \leq 2 \pi$

• A) \(252 \pi\)
• B) \(- 252 \pi\)
• C) \(- 252\)
• D) \(- 42 \pi\)

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