1. Assume y is continuous on [c, d] and differentiable on (c,d). (a) Ify is non-decreasing (monotone increasing) is it true that ≥0? (Either prove your answer or give a counterexample). (b) If y is strictly increasing, is it true that y'>0? Either give a counterexample and show where the proof of (a) fails or prove your statement.

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