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Find the Flux Of Across the Surface of the Solid Bounded by the Paraboloid

question 134

Short Answer

Find the flux of F(x,y,z)=(x+yz2)i+(xz2+y)j+(z+yx2)k\mathbf { F } ( x , y , z ) = \left( x + y z ^ { 2 } \right) \mathbf { i } + \left( x z ^ { 2 } + y \right) \mathbf { j } + \left( z + y x ^ { 2 } \right) \mathbf { k } across the surface of the solid bounded by the paraboloid y=4z2x2y = 4 - z ^ { 2 } - x ^ { 2 } and the xzx z - plane.

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