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Compute ∬SF⃗⋅n⃗dS\iint _ { S } \vec { F } \cdot \vec { n } d S

Question 23

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Compute ∬SF⃗⋅n⃗dS\iint _ { S } \vec { F } \cdot \vec { n } d S where S is the unit sphere, n⃗\vec { n } is the unit outward normal, and F⃗(x,y,z)=⟨x2,y,4⟩\vec { F } ( x , y , z ) = \left\langle x ^ { 2 } , y , 4 \right\rangle

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