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Use a graphing utility to graph the function on the closed interval [a, b]. f(x) = x 2 ? sin ?x 6 , [?1, 0]
Use a graphing utility to graph the function on the closed interval [a, b]. f(x) = x 2 ? sin ?x 6 , [?1, 0] Determine whether Rolle's Theorem can be applied to f on the interval. (Select all that apply.) Yes, Rolle's Theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because f is not differentiable in the open interval (a, b). No, because f(a) ? f(b). If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f?'(c) = 0. (Enter your answers as a comma-separated list. Round your answers to four decimal places. If Rolle's Theorem cannot be applied, enter NA.)
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