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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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Definitions:

Joint

A structure in the human or animal body at which two parts of the skeleton are fitted together.

Flexor Muscle

A muscle that contracts to bend a limb or part of the body towards its origin.

Reiter's Disease

A form of inflammatory arthritis that develops in response to an infection in another part of the body, now more commonly referred to as reactive arthritis.

Right Hip

Refers to the hip joint on the right side of the body, connecting the thigh bone (femur) to the pelvis.

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