Find the flux of the curl of field F through the shell S.
-$\mathrm { F } = - 5 \mathrm { x } ^ { 2 } \mathrm { yi } + 5 \mathrm { xy } ^2 \mathbf { j } + \mathrm { z } ^ { 5 } \mathbf { k }$; $\mathrm { S }$ is the portion of the paraboloid $2 - \mathrm { x } ^ { 2 } - \mathrm { y } ^ { 2 } = \mathrm { z }$ that lies above the $x y -$ plane
A) $\frac { 40 } { 3 } \pi$
B) $10 \pi$
C) 80
D) $80 \pi$

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The Answer of Find the flux of the curl of field F through the shell S.
-$\mathrm { F } = - 5 \mathrm { x } ^ { 2 } \mathrm { yi } + 5 \mathrm { xy } ^2 \mathbf { j } + \mathrm { z } ^ { 5 } \mathbf { k }$; $\mathrm { S }$ is the portion of the paraboloid $2 - \mathrm { x } ^ { 2 } - \mathrm { y } ^ { 2 } = \mathrm { z }$ that lies above the $x y -$ plane
A) $\frac { 40 } { 3 } \pi$
B) $10 \pi$
C) 80
D) $80 \pi$

Find the Flux of the Curl of Field F Through F=−5x2yi+5xy2j+z5k\mathrm { F } = - 5 \mathrm { x } ^ { 2 } \mathrm { yi } + 5 \mathrm { xy } ^2 \mathbf { j } + \mathrm { z } ^ { 5 } \mathbf { k }F=−5x2yi+5xy2j+z5k

Find the Flux of the Curl of Field F Through $\mathrm { F } = - 5 \mathrm { x } ^ { 2 } \mathrm { yi } + 5 \mathrm { xy } ^2 \mathbf { j } + \mathrm { z } ^ { 5 } \mathbf { k }$