Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = x 2 In x, [1, 3] 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) = x 2 In x, [1, 3]
✔Yes, Rolle's Theorem can be applied.
O No, because f is not continuous on the closed interval [a, b].
O No, because fis not differentiable in the open interval (a, b).
O No, because f (a) = f(b).
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 2 In x, [1, 3] ✔Yes, Rolle's Theorem can be applied. O No, because f is not continuous on the closed interval [a, b]. O No, because fis not differentiable in the open interval (a, b). O No, because f (a) = f(b).
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