Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3x², y = 3x, x ≥ 0; about the x-axis V= Sketch the region. -0.5 -0.5 y -0.5 3 2 1 -1 y 3 Sketch the solid, and a typical disk or washer. y 3 0.5 -1 0.5 -3 1.0 0.5 1.0 1.5 1.0 X X 1.5 1.5 -0.5 -0.5 y 3 -0.5 2 A H 1 y 3 2 L 1 0.5 1.0 y 3 2 0.5 1 -3 1.0 0.5 1.5 1.0 X X 1.5 1.5 X

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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question 3 on 6.2

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = 3x, y = 3x, x ≥ 0; about the x-axis
V=
Sketch the region.
-0.5
O
-0.5
-0.5
-0.5
y
Need Help?
3
2
1
-1
y
3
2
1
-1-
Sketch the solid, and a typical disk or washer.
y
3
2
1
-1
y
3
2
1
-1
-2
0.5
-3
0.5
Read It
0.5
0.5
1.0
Watch It
1.0
1.0
1.0
1.5
Master It
1.5
1.5
X
1.5
X
-0.5
O
-0.5
-0.5
y
-0.5
3
2
1
-1
y
3
2
1
y
3
4 3
2
1
-1
-2
y
3
2
0.5
-1
0.5
0.5
1.0
0.5
1.0
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ X
1.5
1.0
1.5
1.0
1.5
X
1.5
X
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 = 3x, y = 3x, x ≥ 0; about the x-axis V= Sketch the region. -0.5 O -0.5 -0.5 -0.5 y Need Help? 3 2 1 -1 y 3 2 1 -1- Sketch the solid, and a typical disk or washer. y 3 2 1 -1 y 3 2 1 -1 -2 0.5 -3 0.5 Read It 0.5 0.5 1.0 Watch It 1.0 1.0 1.0 1.5 Master It 1.5 1.5 X 1.5 X -0.5 O -0.5 -0.5 y -0.5 3 2 1 -1 y 3 2 1 y 3 4 3 2 1 -1 -2 y 3 2 0.5 -1 0.5 0.5 1.0 0.5 1.0 ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ X 1.5 1.0 1.5 1.0 1.5 X 1.5 X
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