Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c guaranteed by the theorem. c = f(x) = x2 + 8x + 1, [0, 8], f(c) = 34
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Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of guaranteed by the theorem.
![Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c guaranteed by the theorem. c = f(x) = x2 + 8x + 1, [0, 8], f(c) = 34](https://www.doubtrix.com/uploads/editor/1245623546ypqzQvncVE.png)
![Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply. ) f(x) = x2, [4, 5] Yes, the Mean Value Theorem can be applied. No, f is not continuous on [a, b]. No, f is not differentiable on (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) = f(b) − f(a) b − a. (Enter your answers as a comma-separated list. If the Mean Value Theorem cannot be applied, enter NA.) c =](https://www.doubtrix.com/uploads/editor/5395930677qMSzPQNJWA.png)
![Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Enter your answers as a comma-separated list.) f(x) = x9, [0, 9] c =](https://www.doubtrix.com/uploads/editor/1642141633vdHRWKiCXs.png)
![Determine whether the Mean Value Theorem can be applied to the function f(x) = x2 on the closed interval [7, 13]. If the Mean Value Theorem can be applied, find all numbers c in the open interval (7, 13) such that f′(c) = f(13)−f(7) 13−(7). MVT applies; c = 10 MVT applies; c = 11 MVT applies; c = 8 MVT applies; c = 9 MVT applies; c = 12](https://www.doubtrix.com/uploads/editor/0756123309DYwihJRzho.jpg)