Question: could I get help on 5 and 6? 5. [-/6.66 Points] DETAILS MY NOTES ASK YOUR TEACHER Determine whether Rolle's Theorem can be applied to

 could I get help on 5 and 6? 5. [-/6.66 Points]

could I get help on 5 and 6?

DETAILS MY NOTES ASK YOUR TEACHER Determine whether Rolle's Theorem can be

5. [-/6.66 Points] DETAILS MY NOTES ASK YOUR TEACHER Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = x2/3 - 4, [-64, 64] 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. If Rolle's Theorem cannot be applied, enter NA.) C = 6. [-/6.66 Points] DETAILS MY NOTES ASK YOUR TEACHER Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = 3x3, [1, 2] Yes, the Mean Value 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). None of the above. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = _. (Enter your answers as a comma-separated list. If the Mean Value Theorem cannot be applied, enter NA.) b - a 7. [-/6.66 Points] DETAILS MY NOTES ASK YOUR TEACHER Use the graph of f to find the largest open interval on which f is increasing, and the largest open interval on which f is decreasing. (Enter your answers using interval notation.)

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