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Compute the Flux Of F=xz2i+yz2j+4z5k { \vec { F } } = x z ^ { 2 } \vec { i } + y z ^ { 2 } \vec { j } + 4 z ^ { 5 } \vec { k }

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Essay

Compute the flux of F=xz2i+yz2j+4z5k { \vec { F } } = x z ^ { 2 } \vec { i } + y z ^ { 2 } \vec { j } + 4 z ^ { 5 } \vec { k } through the cylindrical surface x2+y2=16,0z5x ^ { 2 } + y ^ { 2 } = 16,0 \leq z \leq 5 oriented away from the z-axis.

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