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Find the Flux Of F⃗\vec { F } Through the Surface SS

Question 40

Essay

Find the flux of F⃗\vec { F } through the surface SS in the positive z direction. Let S={(2u+v,u−v,u+3v):0≤u≤2 and 0≤v≤1}S = \{ ( 2 u + v , u - v , u + 3 v ) : 0 \leq u \leq 2 \text { and } 0 \leq v \leq 1 \} and F⃗(x,y,z)=⟨x,y,z−y⟩\vec { F } ( x , y , z ) = \langle x , y , z - y \rangle

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