Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = 2 sin x, [0, 27T] 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).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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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) = 2 sin x, [0, 271]
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 =
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) = 2 sin x, [0, 271] 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 =
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the c= naswer got marked wrong, did i type it wrong?

Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
f(x) = 2 sin x, [0, 27T]
✔Yes, Rolle's Theorem can be applied.
No, because fis not continuous on the closed Interval [a, b].
No, because fis 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.)
9 39
c=2¹2
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) = 2 sin x, [0, 27T] ✔Yes, Rolle's Theorem can be applied. No, because fis not continuous on the closed Interval [a, b]. No, because fis 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.) 9 39 c=2¹2
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