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Suppose that [tex]f(x,y,z)=g(\sqrt{x^2+y^2+z^2} )[/tex] , where g is a function of one variable such that g(2) = 4. Evaluate [tex]\int\ \int\ {f(x,y,z)} \, dS[/tex] , where S is the sphere [tex]x^2+y^2+z^2=4[/tex].

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