The flux of vector field F ( x , y , z ) = ( x y + 2 x z ) i + ( x 2 + y 2 ) j + ( x y − z 2 ) k across the surface of the solid S which is bounded by the cylinder x 2 + y 2 = 4 , and the planes z = y − 2 and z = 0 .

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To calculate: The flux of vector field F(x,y,z)=(xy+2xz)i+(x2+y2)j+(xy−z2)k across the surface of the solid S which is bounded by the cylinder x2+y2=4, and the planes z=y−2 and z=0.

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