Consider the given function and the given interval. f(x) = (x - 3)2, [2, 5] %3D (a) Find the average value fave of f on the given interval. fave %3D (b) Find c such that fave f(c). !3! (smaller value) |(larger value) C = C = (c) Sketch the graph of f and a rectangle whose area is the same as the f(x) 3. 21 6. 9 Type here to search 2N

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Consider the given function and the given interval.
f(x) = (x - 3)2, [2, 5]
%3D
(a) Find the average value fave of f on the given interval.
fave
%3D
(b) Find c such that fave
f(c).
!3!
(smaller value)
|(larger value)
C =
C =
(c) Sketch the graph of f and a rectangle whose area is the same as the
f(x)
3.
21
6.
9 Type here to search
2N
Transcribed Image Text:Consider the given function and the given interval. f(x) = (x - 3)2, [2, 5] %3D (a) Find the average value fave of f on the given interval. fave %3D (b) Find c such that fave f(c). !3! (smaller value) |(larger value) C = C = (c) Sketch the graph of f and a rectangle whose area is the same as the f(x) 3. 21 6. 9 Type here to search 2N
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