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Question: problem 1 let f be a continuous function on a...

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Problem 1. Let f be a continuous function on a, b (i) Suppose that f has zero mean in [a, b, which means that f(z)dz 0. Prove that there exists some cE (a, b) such that f(c) 0 (ii) Prove that there exists c E (a, b) such that b-a Ja

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