Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8x³, y=0, x= 1; about x = 2 Sketch the region. -0.5 -0.5 O y -2 8 6 y 10 8 6 4 2 -1 -2 -1 Sketch the solid, and a typical disk or washer. y 8 6 8 0.5 1.0 6 0.5 1.0 1.5 1.5 2.0 2.5 X X 2.0 2.5 X X -0.5 -0.5 -2 6 4 2 y 8 6 -1 -2 -1 2 8 2 0.5 1.0 0.5 1.0 1.5 2.0 2.5 1.5 3 2.0 4 2.5 X X X X
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8x³, y=0, x= 1; about x = 2 Sketch the region. -0.5 -0.5 O y -2 8 6 y 10 8 6 4 2 -1 -2 -1 Sketch the solid, and a typical disk or washer. y 8 6 8 0.5 1.0 6 0.5 1.0 1.5 1.5 2.0 2.5 X X 2.0 2.5 X X -0.5 -0.5 -2 6 4 2 y 8 6 -1 -2 -1 2 8 2 0.5 1.0 0.5 1.0 1.5 2.0 2.5 1.5 3 2.0 4 2.5 X X X 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 11 on 6.2
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 = 8x³, y=0, x= 1; about x = 2
Sketch the region.
-0.5
O
-0.5
O
y
-2
8
6
4
2
y
10+
8
6
4
2
-1
-2 -1
O
8
0.5
6
0.5
Sketch the solid, and a typical disk or washer.
y
1.0
y
1.0
1.5
1
1.5
3
2,0
3
2,0
4
2.5
4
2.5
X
X
-0.5
X
-0.5
y
8
-2
6
4
2
y
8
6
4
2
-2 -1
-1
6
y
4
0.5
2
0.5
y
1
1.0
1.0
1.5
8
6
1.0 1.8
2
1
1
1.5
3
2,0
3
2,0
4
+X
2.5
2.5
X
X
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