Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x³, y = 1, x = 2; about y = -4 V= Sketch the region. y 5 4 3 2 -2 -5 Sketch the solid and a typical disk or washer. Graph -1 15 10 5 -10 -15 5 4 3 -2 -3 -4 -5 -6 -7 Graph Description @0-8 Ⓡ Graph -3 -2 -1 X 15 10 5 8 7 6 5 -10 3 @0-3 Graph Description 8 7 6 5 -1 Graph -1 15 10 5 =t&# Graph Description Q Graph -2 15 10- F-s -10 Graph Description @

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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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = x³
y = 1, x = 2; about y = -4
V=
Sketch the region.
y
4
3
1
Sketch the solid and typical disk or washer.
Graph
-3 -2
-1
15
10
5
-5
-10
-15
Graph Description
2
y
4
3
Graph
-1
15
10
5
-5
--10
-15
y
7
6
5
4
3
2
1
Graph Description
2
3
X
X
3
y
7
6
5
4
3
2
1
Graph
-2
15
10
5
Houbo
-10
15
Graph Description
X
2
X
i
Graph
-2 -1
15
10
5
||||||||
10
-15
Graph Description
2
(₁)
Transcribed Image Text:Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x³ y = 1, x = 2; about y = -4 V= Sketch the region. y 4 3 1 Sketch the solid and typical disk or washer. Graph -3 -2 -1 15 10 5 -5 -10 -15 Graph Description 2 y 4 3 Graph -1 15 10 5 -5 --10 -15 y 7 6 5 4 3 2 1 Graph Description 2 3 X X 3 y 7 6 5 4 3 2 1 Graph -2 15 10 5 Houbo -10 15 Graph Description X 2 X i Graph -2 -1 15 10 5 |||||||| 10 -15 Graph Description 2 (₁)
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