Find the Flux of the Curl of Field F Through $\mathbf { F } = - 7 \mathrm { zi } + 6 x \mathbf { j } + 4 y \mathbf { k } ; S$

question 255

Multiple Choice

Find the flux of the curl of field F through the shell S.
- $\mathbf { F } = - 7 \mathrm { zi } + 6 x \mathbf { j } + 4 y \mathbf { k } ; S$ is the portion of the cone $z = 6 \sqrt { x ^ { 2 } + y ^ { 2 } }$ below the plane $z = 2$

• A) \(- \frac { 2 } { 3 } \pi\)
• B) \(\frac { 4 } { 3 } \pi\)
• C) \(- \frac { 1 } { 3 } \pi\)
• D) \(- \frac { 4 } { 3 } \pi\)

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