4. Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval. Then find all numbers c that satisfy the conclusion of the MVT. a. f(x)= 3x² + 2x + 5, [-1, 1] b. f(x)= e²", [0, 3] c. f(x)= x +2' , [1, 4]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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4. Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given
interval. Then find all numbers c that satisfy the conclusion of the MVT.
a. f(x)= 3x² + 2x +5, [-1, 1]
b. f(x)= e²", [0, 3]
-2x
c. f(x)=
[1. 4]
x +2°
Transcribed Image Text:4. Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval. Then find all numbers c that satisfy the conclusion of the MVT. a. f(x)= 3x² + 2x +5, [-1, 1] b. f(x)= e²", [0, 3] -2x c. f(x)= [1. 4] x +2°
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