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 V= 64x X

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
icon
Related questions
Question

In a short explanation, Solve the volume

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
V=
-0.3
64x
Sketch the region.
y
-0.5
O
10
X
8
x
0.5 1.0 1.5 20 2.5
0.5 1.0 1.5 2.0 2.5
-0.5
GO
0.5
9
1.5 2.0
-0.5
GO
0.5
1.0 1.5 2,0
2.5
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 V= -0.3 64x Sketch the region. y -0.5 O 10 X 8 x 0.5 1.0 1.5 20 2.5 0.5 1.0 1.5 2.0 2.5 -0.5 GO 0.5 9 1.5 2.0 -0.5 GO 0.5 1.0 1.5 2,0 2.5
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning