Consider the given function and the given interval. f(x) = (x - 7)2, [6, 9] (a) Find the average value fave of f on the given interval. fave = (b) Find c such that = f(c). ave (smaller value) C = (larger value) (c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of f. f(x) f(x) 4 4 3 3 2 2 1 1 2 4 6 8 10 2 4 6 8 10 f(x) f(x) 4 4| 3
Consider the given function and the given interval. f(x) = (x - 7)2, [6, 9] (a) Find the average value fave of f on the given interval. fave = (b) Find c such that = f(c). ave (smaller value) C = (larger value) (c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of f. f(x) f(x) 4 4 3 3 2 2 1 1 2 4 6 8 10 2 4 6 8 10 f(x) f(x) 4 4| 3
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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P30
![Consider the given function and the given interval.
f(x) = (x - 7)2, [6, 9]
(a) Find the average value fave of f on the given interval.
fave
(b) Find c such that f.
ave
= f(c).
C =
(smaller value)
C =
(larger value)
(c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of f.
f(x)
f(x)
4
3
3
2
1
1
X
4
6.
8
10
2
4
6
8
10
-1F
-1
f(x)
f(x)
4
3
3
1
1
X
2
4
6.
8.
10
2
4
6
8.
10
-1F
-1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55f4571e-b7fc-4f90-8ec4-e686077e763f%2F5343f23e-0234-4626-bbbe-f0902b792688%2Fy67ss8s_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the given function and the given interval.
f(x) = (x - 7)2, [6, 9]
(a) Find the average value fave of f on the given interval.
fave
(b) Find c such that f.
ave
= f(c).
C =
(smaller value)
C =
(larger value)
(c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of f.
f(x)
f(x)
4
3
3
2
1
1
X
4
6.
8
10
2
4
6
8
10
-1F
-1
f(x)
f(x)
4
3
3
1
1
X
2
4
6.
8.
10
2
4
6
8.
10
-1F
-1
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