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Compute the Flux of the Vector Field F=yi+(x+y)j+zk\vec { F } = y \vec { i } + ( x + y ) \vec { j } + z \vec { k }

Question 26

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Compute the flux of the vector field F=yi+(x+y)j+zk\vec { F } = y \vec { i } + ( x + y ) \vec { j } + z \vec { k } through the surface S that is the part of the surface z=x2y2z = x ^ { 2 } - y ^ { 2 } above the disk x2+y21x ^ { 2 } + y ^ { 2 } \leq 1 , oriented in the positive z-direction.

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