ermine whether Rolle Theorem can be applied to r on the closed interval (a, DJ. (Select all that apply.) f(x) = (x - 4)(x - 6)(x - 8), [4, 8] 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, 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.
ermine whether Rolle Theorem can be applied to r on the closed interval (a, DJ. (Select all that apply.) f(x) = (x - 4)(x - 6)(x - 8), [4, 8] 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, 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.
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 – 4)(x - 6)(x - 8), [4, 8]
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, 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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52a0c9f6-ada1-431f-830a-3fbdcbca3339%2Fcbe4a45f-51bf-4103-b239-7c8c9ed07107%2F040pflp_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 – 4)(x - 6)(x - 8), [4, 8]
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, 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 =
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