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Question 73
Compute ∬SF⃗⋅n⃗dS\iint _ { S } \vec { F } \cdot \vec { n } d S∬SF⋅ndS where S is the unit sphere, n⃗\vec { n }n is the unit outward normal, and F⃗(x,y,z)=⟨x3,y3,z3⟩\vec { F } ( x , y , z ) = \left\langle x ^ { 3 } , y ^ { 3 } , z ^ { 3 } \right\rangleF(x,y,z)=⟨x3,y3,z3⟩
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