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(b) Let n C R3 be the unit ball centred at zero. Let f(r) = x x 2 for r E R3. Justify that the

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(b) Let n C R3 be the unit ball centred at zero. Let f(r) = x x 2 for r E R3. Justify that the divergence theorem holds for f, that is, prove by directly computing both sides to show that ( V. . f(x) dx = ( f(x) n(x) dS, Jan where n denotes the outward normal on the boundary of $2 and the right-hand side is the surface integral

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