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5. g(@)=, [3,5] Apply the Rolle's Theorem, find all values of c in the open interval (a, b) such that f'(c) = 0. If Rolle's

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5. g(@)=, [3,5] Apply the Rolle's Theorem, find all values of c in the open interval (a, b) such that f'(c) = 0. If Rolle's Theorem cannot be applied, explain why not. 6. f(x) = x2 - x+4, [1,4] 7. A(x) = x -2 Inx [1,3] Using the Mean Value Theorem, find all values of c in the open interval (a, b) such that f' (c) = f(b)-f(a) If the Mean Value Theorem cannot be applied, explain why not. b-a 8. f(x) = x3 + 2x, [2,1] 9. g(x) = , [-1,2]

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