Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) flx) = 5 sin x, [0, 2x] O Yes, Rolle's Theorem can be applied. O No, because f is not continuous on the dosed 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.)

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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Determine whether Rolle's Theorem can be applied to fon the closed interval [a, b]. (Select all that apply.)
f{x) = 5 sin x, [0, 2x]
O Yes, Rolle's Theorem can be applied.
O No, because f is not continuous on the dosed 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.)
Transcribed Image Text:Determine whether Rolle's Theorem can be applied to fon the closed interval [a, b]. (Select all that apply.) f{x) = 5 sin x, [0, 2x] O Yes, Rolle's Theorem can be applied. O No, because f is not continuous on the dosed 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.)
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