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

Question

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

Quizplus · Accepted Answer

The Answer of Compute the flux of $  { \vec { F } } = x z ^ { 2 } \vec { i } + y z ^ { 2 } \vec { j } + 4 z ^ { 5 } \vec { k }$ through the cylindrical surface $x ^ { 2 } + y ^ { 2 } = 16,0 \leq z \leq 5$ oriented away from the z-axis.

Compute the Flux Of F⃗=xz2i⃗+yz2j⃗+4z5k⃗ { \vec { F } } = x z ^ { 2 } \vec { i } + y z ^ { 2 } \vec { j } + 4 z ^ { 5 } \vec { k }F=xz2i+yz2j​+4z5k

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