Verify that the hypotheses of the Mean-Value Theorem are satisfied for f(x) = √√x + 4 on the interval [a, b] = [0,12], and find the value of c in this interval that satisfies f(b) - f(a) f'(c) b-a Enter the exact answer. C = =
Verify that the hypotheses of the Mean-Value Theorem are satisfied for f(x) = √√x + 4 on the interval [a, b] = [0,12], and find the value of c in this interval that satisfies f(b) - f(a) f'(c) b-a Enter the exact answer. C = =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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Question
![Verify that the hypotheses of the Mean-Value Theorem are satisfied for f(x) = √√x + 4 on the
interval [a, b] = [0,12], and find the value of c in this interval that satisfies
f(b) - f(a)
f'(c)
b-a
Enter the exact answer.
C =
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F223e9407-2c49-4b66-92c8-52172d63e137%2F6ce3e1b1-afbd-4f88-9b60-1299e4625c86%2Fzc0e1l9_processed.png&w=3840&q=75)
Transcribed Image Text:Verify that the hypotheses of the Mean-Value Theorem are satisfied for f(x) = √√x + 4 on the
interval [a, b] = [0,12], and find the value of c in this interval that satisfies
f(b) - f(a)
f'(c)
b-a
Enter the exact answer.
C =
=
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