Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y=9-x², y = 5; about the x-axis Sketch the region. y 10 -6-5-4-3-2-1 8 4 3 2 1 2 3 4 Sketch the solid and a typical disk or washer. 5 y 10 -4-3-2-1 9 8 7 6 5 4 3 2 1 1 2 3 4 5 y 10 -2 -1 9 8 7 2 1 1 2 4 5 6 y 10 -4-3-2-1 9 8 7 6 5 2 1 2 4 5
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y=9-x², y = 5; about the x-axis Sketch the region. y 10 -6-5-4-3-2-1 8 4 3 2 1 2 3 4 Sketch the solid and a typical disk or washer. 5 y 10 -4-3-2-1 9 8 7 6 5 4 3 2 1 1 2 3 4 5 y 10 -2 -1 9 8 7 2 1 1 2 4 5 6 y 10 -4-3-2-1 9 8 7 6 5 2 1 2 4 5
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 4E
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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 = 9-x², y = 5; about the x-axis
V =
Sketch the region.
y
10
O-6 -5 -4 -3 -2 -1
8
7
6
4
3
2
1 2
4
Sketch the solid and a typical disk or washer.
Graph
-5
5 6
-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
10
Graph Description
0-6 -5 -4 -3 -2 -1
y
10
9
8
7
6
5
4
3
2
1
2
4 5
Graph
-6-5-4-3
6
X
10
-5
-6 -5 -4 13 -2
1 2 3 4 5 6
-10
Graph Description
y
10
-1
9
8
7
6
5
4
3
2
1
1 2
4
5
6
X
-6 -5 -4
Graph
-2 -1
-5
y
10
-10
9
8
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
2
Graph Description
X
4
5
6
X
↑
Graph
10
5
-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
-5
Graph Description
10
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3cf874b-7a7b-478f-a7b8-421442e72224%2F7763563c-ef82-4ebe-921a-6fe499413bb5%2F3eg42n_processed.png&w=3840&q=75)
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 = 9-x², y = 5; about the x-axis
V =
Sketch the region.
y
10
O-6 -5 -4 -3 -2 -1
8
7
6
4
3
2
1 2
4
Sketch the solid and a typical disk or washer.
Graph
-5
5 6
-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
10
Graph Description
0-6 -5 -4 -3 -2 -1
y
10
9
8
7
6
5
4
3
2
1
2
4 5
Graph
-6-5-4-3
6
X
10
-5
-6 -5 -4 13 -2
1 2 3 4 5 6
-10
Graph Description
y
10
-1
9
8
7
6
5
4
3
2
1
1 2
4
5
6
X
-6 -5 -4
Graph
-2 -1
-5
y
10
-10
9
8
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
2
Graph Description
X
4
5
6
X
↑
Graph
10
5
-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
-5
Graph Description
10
X
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