Decide whether Rolle’s Theorem can be applied to F(X) = X^25-5X+4 on the interval [0,2]. If Rolle’s Theorem can be applied, find all value(s) of c in the interval such that f '(0)c=0. If Rolle’s Theorem cannot be applied, explain why not.

Decide whether Rolle’s Theorem can be applied to F(X) = X^25-5X+4 on the interval [0,2]. If Rolle’s Theorem can be applied, find all value(s) of c in the interval such that f '(0)c=0. If Rolle’s Theorem cannot be applied, explain why not.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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Question

Decide whether Rolle’s Theorem can be applied to
F(X) = X^25-5X+4
on
the interval [0,2]. If Rolle’s Theorem can be applied, find all value(s) of c in the
interval such that
f '(0)c=0. If Rolle’s Theorem cannot be applied, explain why not.

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