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Let G\vec { G } Be a Smooth Vector Field With divG=3\operatorname { div } \vec { G } = 3

Question 28

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Let G\vec { G } be a smooth vector field with divG=3\operatorname { div } \vec { G } = 3 at every point in space and let S1 and S2 be spheres of radius r, oriented outward, centered at (0,0,0)and at (1,2,1), respectively.
s1GdA=S2GdA\int _ { s _ { 1 } } \vec { G } \cdot d \vec { A } = \int _ { S _ { 2 } } \vec { G } \cdot d \vec { A } .

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