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Find the Flux Of F(x,y,z)=x3i+2xz2j+3y2zk\mathbf { F } ( x , y , z ) = x ^ { 3 } \mathbf { i } + 2 x z ^ { 2 } \mathbf { j } + 3 y ^ { 2 } z \mathbf { k }

Question 236

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Find the flux of F(x,y,z)=x3i+2xz2j+3y2zk\mathbf { F } ( x , y , z ) = x ^ { 3 } \mathbf { i } + 2 x z ^ { 2 } \mathbf { j } + 3 y ^ { 2 } z \mathbf { k } across the surface of the solid bounded by the paraboloid z=4−x2−y2z = 4 - x ^ { 2 } - y ^ { 2 } and the xy−x y - plane.

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