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2. Consider a force with an inverse square law, given as follows: F(x , y, z ) = C(x, y, z) ( 2 2 +

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2. Consider a force with an inverse square law, given as follows: F(x , y, z ) = C(x, y, z) ( 2 2 + 2 + 2 2 ) : Where C is a constant. Show that for any closed piece-wise smooth surface S that is oriented outward we have: F . ndo = 4TC if (0, 0, 0) is contained in the region bound by S S Otherwise

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