Determine whether Rolle's Theorem can be applied to f on the closed interval (a, b]. (Select all that apply.) f(x) = X- 81, [-9, 9] O Yes, Rolle's Theorem can be applied. O No, because f is not continuous on the closed interval [a, b]. O No, because f is not differentiable in the open interval (a, b). O No, becausef (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 ca
Determine whether Rolle's Theorem can be applied to f on the closed interval (a, b]. (Select all that apply.) f(x) = X- 81, [-9, 9] O Yes, Rolle's Theorem can be applied. O No, because f is not continuous on the closed interval [a, b]. O No, because f is not differentiable in the open interval (a, b). O No, becausef (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 ca
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
f(x) = x - 81
X - 1
[-9, 9]
O Yes, Rolle's Theorem can be applied.
O No, because f is not continuous on the closed interval [a, b1.
O No, because f is not differentiable in the open interval (a, b).
O 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) = o. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)
C =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52a0c9f6-ada1-431f-830a-3fbdcbca3339%2F04732131-b3a9-4504-ba05-c05d05534ab7%2F15np0to_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
f(x) = x - 81
X - 1
[-9, 9]
O Yes, Rolle's Theorem can be applied.
O No, because f is not continuous on the closed interval [a, b1.
O No, because f is not differentiable in the open interval (a, b).
O 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) = o. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)
C =
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