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Compute the flux of the vector field F→ = 6xi→ + yj→ + zk→ through the surface S, where S is the part of the surface z = −7x − 14y + 1, oriented upward, with (x, y) in the triangle R with vertices (0, 0), (0, 12), (3, 0). Enter an exact answer. ∫SF→⋅dA→ =

Compute the flux of the vector field F→ = 6xi→ + yj→ + zk→ through the surface S, where S is the part of the surface z = −7x − 14y + 1, oriented upward, with (x, y) in the triangle R with vertices (0, 0), (0, 12), (3, 0). Enter an exact answer. ∫SF→⋅dA→ =

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Compute the flux of the vector field F → = 6 x i → + y j → + z k → through the surface S , where S is the part of the surface z = − 7 x − 14 y + 1 , oriented upward, with ( x , y ) in the triangle R with vertices ( 0 , 0 ) , ( 0 , 12 ) , ( 3 , 0 ) .
Enter an exact answer.
∫ S F → ⋅ d A → =

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