Verify that the hypotheses of the Mean-Value Theorem are satisfied for f(x) = Vx +4 on the interval [a, b] = [0,60], and find the value of c in this interval that satisfies f(b) – f(a) f'(c) = b — а Enter the exact answer. C =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Verify that the hypotheses of the Mean-Value Theorem are satisfied for f(x) = Vx + 4 on the interval [a, b] = [0,60], and find the
value of c in this interval that satisfies
f(b) – f(a)
f' (c) =
b — а
Enter the exact answer.
C =
Transcribed Image Text:Verify that the hypotheses of the Mean-Value Theorem are satisfied for f(x) = Vx + 4 on the interval [a, b] = [0,60], and find the value of c in this interval that satisfies f(b) – f(a) f' (c) = b — а Enter the exact answer. C =
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