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Use the Divergence Theorem ∬SF⋅dS=∭D∇⋅FdV ∬ S F ⋅ d S = ∭ D ∇ ⋅...

Use the Divergence Theorem ∬SF⋅dS=∭D∇⋅FdV ∬ S F ⋅ d S = ∭ D ∇ ⋅ F d V to find ∬SF⋅dS ∬ S F ⋅ d S where F(x,y,z)=3x2i+2y2j+2z2k F ( x , y , z ) = 3 x^2 i + 2 y^2 j + 2 z^2 k and S is the surface of the rectangular solid bounded by − 6 ≤ x ≤ 2 , − 6 ≤ y ≤ 3 , and − 4 ≤ z ≤ 1 .

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