Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = 7x³, [1, 2] Yes, the Mean Value Theorem can be applied. No, because fis not continuous on the closed interval [a, b]. No, because f is not differentiable in the open interval (a, b). None of the above. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = f(b) f(a), (Enter your answers as a comma-separated list. If the Mean Value Theorem cannot be applied, enter NA.) b-a c =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 18E
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Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
f(x) = 7x³, [1, 2]
O Yes, the Mean Value 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 None of the above.
If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) =
applied, enter NA.)
C =
f(b) - f(a)
b - a
(Enter your answers as a comma-separated list. If the Mean Value Theorem cannot be
Transcribed Image Text:Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = 7x³, [1, 2] O Yes, the Mean Value 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 None of the above. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = applied, enter NA.) C = f(b) - f(a) b - a (Enter your answers as a comma-separated list. If the Mean Value Theorem cannot be
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