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27. Each of the following statements is false. Give (or sketch) a counterexample for each statement. (a) If f is increasing on an interval I,

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27. Each of the following statements is false. Give (or sketch) a counterexample for each statement. (a) If f is increasing on an interval I, then f'(x) > 0 for all x in I. (b) If f is increasing and differentiable on I, then f' (x) > 0 for all x in I. (c) If cars A and B always have the same speed, then they will always be the same distance apart

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