Verify that the function f satisfies the hypotheses of the Mean Value Theorem on the given interval. Then find all numbers c that satisfy the conclusion of the Mean Value Theorem. (a)  f(x) = 5x − sin(2x), [−pi/2 ,pi/2] (b). f(x)= square root of 3x+1, [0,5]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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 Verify that the function f satisfies the hypotheses of the Mean Value Theorem on the given interval.
Then find all numbers c that satisfy the conclusion of the Mean Value Theorem.
(a)  f(x) = 5x − sin(2x), [−pi/2
,pi/2]

(b). f(x)= square root of 3x+1, [0,5]

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