Question: Suppose that is continuous on [a, b] and that has three zeros in the interval. Show that has at least one zero

Suppose that ƒ″ is continuous on [a, b] and that ƒ has three zeros in the interval. Show that ƒ″ has at least one zero in (a, b). Generalize this result.

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ANSWER Since has three zeros in the interval a b by Rolles theorem there are two po... View full answer

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