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Ma1c 2010 Homework 2 Solutions Problem 1 a. Assume that f ′ (x; y) = 0 for every x in some n-ball B(a) and for every vector y. Use the mean-value theorem to prove that f is constant on B(a). b. Suppose that f ′ (x;
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Document Date: 2010-04-09 11:18:32
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Ma1c 2010 Homework 2 Solutions Problem 1 a. Assume that f ′ (x; y) = 0 for every x in some n-ball B(a) and for every vector y. Use the mean-value theorem to prove that f is constant on B(a). b. Suppose that f ′ (x;