Find the value of c guaranteed by the Mean Value Theorem (MVT) for f(x) = √√9 - x² over the interval [0, 3]. 3 1 In other words, find c = [0, 3] such that ƒ(c) = 3 = √² f(x)dx. - 0 Round your answer to four decimal places C = 1 Hint: The area of a quarter circle is ².

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the value of c guaranteed by the Mean Value Theorem (MVT) for f(x):
interval [0, 3].
In other words, find c € [0, 3] such that f(c)
Round your answer to four decimal places
C =
1
Hint: The area of a quarter circle is
πr².
=
3
1
3 -² 0 /* f(x)da.
0
= √9-
x over the
Transcribed Image Text:Find the value of c guaranteed by the Mean Value Theorem (MVT) for f(x): interval [0, 3]. In other words, find c € [0, 3] such that f(c) Round your answer to four decimal places C = 1 Hint: The area of a quarter circle is πr². = 3 1 3 -² 0 /* f(x)da. 0 = √9- x over the
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