Verify that the hypotheses of the Mean-Value Theorem are satisfied on the given interval, and find all values of c in that interval that satisfy the conclusion of the theorem. f(x) = 3 – x² ifx<1 2 if x>1 on interval [ 0, 2] - X

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Q: 4. Suppose that f(2) = 16 and that f'(x) 2 – 3 for all x in the interval [2,7]. Determine the…

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Q: f(x) = x3-3x2+3x-1 ;   m = -1   ;  [-1, 2]

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Q: Suppose that f(2) = 16 and that f'(x) 2 - 3 for all x in the interval [2,7]. Determine the smallest…

A: This question is based on Mean value theorem.

Q: 5. (a) Verify that the hypotheses of Rolle's theorem are satisfied on the given interval, and find…

A: Rolles and mean value theorem