Find the value or values of c that satisfy the equation f(x)=2x² + 5x - 3, [-1,2] f(b)-f(a) b-a = f'(c) in the conclusion of the Mean Value Theorem for the following function and interval.

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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Find the value or values of c that satisfy the equation
f(x) = 2x² + 5x - 3,
[-1,2]
f(b)-f(a)
b-a
= f'(c) in the conclusion of the Mean Value Theorem for the following function and interval.
The value(s) of c that satisfy the equation
f(b)-f(a)
b-a
= f'(c) is/are
(Type a simplified fraction. Use a comma to separate answers as needed.)
Transcribed Image Text:Find the value or values of c that satisfy the equation f(x) = 2x² + 5x - 3, [-1,2] f(b)-f(a) b-a = f'(c) in the conclusion of the Mean Value Theorem for the following function and interval. The value(s) of c that satisfy the equation f(b)-f(a) b-a = f'(c) is/are (Type a simplified fraction. Use a comma to separate answers as needed.)
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