f(x) = 6x/(1 + x²)², [0, 2] %3D (a) Find the average value fave of f on the given interval. fave = (b) Find c such that fave = f(c). (Round your answers to three decimal places.) C = (smaller value) C = (larger value)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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f(x) = 6x/(1 + x²)²,
[0, 2]
(a) Find the average value fave of f on the given interval.
fave =
(b) Find c such that fave = f(c). (Round your answers to three decimal places.)
C =
(smaller value)
C =
(larger value)
Transcribed Image Text:f(x) = 6x/(1 + x²)², [0, 2] (a) Find the average value fave of f on the given interval. fave = (b) Find c such that fave = f(c). (Round your answers to three decimal places.) C = (smaller value) C = (larger value)
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