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Find the Flux Of F=xi+yj+8zk { \vec { F } } = x \vec { i } + y \vec { j } + 8 z \vec { k }

Question 33

Multiple Choice

Find the flux of F=xi+yj+8zk { \vec { F } } = x \vec { i } + y \vec { j } + 8 z \vec { k } over the sphere Sa, x2+y2+z2=a2x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = a ^ { 2 } , oriented outward, with a > 0.


A) 403a3π\frac { 40 } { 3 } a ^ { 3 } \pi
B) 40a340 a ^ { 3 }
C) 403a2π\frac { 40 } { 3 } a ^ { 2 } \pi
D) 403a3\frac { 40 } { 3 } a ^ { 3 }

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