Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply. ) f(x) = x2 − 4x − 21 x + 6, [−3, 7] Yes. 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 =
![Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply. ) f(x) = x2 − 4x − 21 x + 6, [−3, 7] Yes. 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 =](https://www.doubtrix.com/uploads/editor/5820752820BpLCynSwDe.png)
![Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply. ) f(x) = tan(x), [−2π, −π] Yes. 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 =](https://www.doubtrix.com/uploads/editor/4378493283GQblUbLxoe.png)
![Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = sin(x), [0, π] Yes. 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 =](https://www.doubtrix.com/uploads/editor/2649504613EQNlxJpoyq.png)
![Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply. ) f(x) = −x2 + 7x, [0, 7] 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 =](https://www.doubtrix.com/uploads/editor/0260881859hzvUNDBoZY.png)