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Let F(r)= 9 r = 9 re, where r=(x,y,z) is a radial vector, r=[r| is its magnitude, e,=r/r is the unit vector to the radial

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Let F(r)= 9 r = 9 re, where r=(x,y,z) is a radial vector, r=[r| is its magnitude, e,=r/r is the unit vector to the radial direction. The volume V is a solid sphere with center at the origin and radius R = 1 . The surface, av denotes the sphere's boundary. Using the Divergence theorem (Gauss' theorem) calculate the following surface integral (surface normal pointing outwards) : F(r) . dS, ov Enter the numeric value of the integral below giving your answer to two decimal places. Hint: You may wish to use the following formula for divergence of radial function, r=(x,y,z) : V . r= 3

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