State a Mean-Value Theorem for triple integrals analogous to
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State a Mean-Value Theorem for triple integrals analogous to Theorem 3 of Section 14.3. Use it to prove that if f .x; y;
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State a Mean-Value Theorem for triple integrals analogous to Theorem 3 of Section 14.3. Use it to prove that if f .x; y; z/ is continuous near the point .a; b; c/ and if B .a; b; c/ is the ball of radius centred at .a; b; c/, then lim !0 3 4 3 ZZZ B .a;b;c/ f .x; y; z/ dV D f .a; b; c/:
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