SHOW COMPLETE SOLUTION. TYPEWRITTEN ONLY. Let S be the triangular surface in R³ with vertices at (4,0,0), (0, 2, 0) and (0, 0, 8), that isequipped with upward normal vectors. Compute the flux of the vector fieldacross S.X ZF(x, y, z) = (y, 4'2

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Answered: Let S be the triangular surface in R³…

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Let S be the triangular surface in R³ with vertices at (4, 0, 0), (0, 2, 0) and (0, 0, 8), that is equipped with upward normal vectors. Compute the flux of the vector field across S. (y, = (v₂, ²7, 27) F(x, y, z) =