The shaded region in Figure 3 is bounded by curve y=x+ and line y = 5. X y X=-1 y=x+- y=5 (1,5) (4,5) X Figure 3 (a) Set up an integral for the volume of the solid obtained by rotating the shaded region about the indicated axis of revolution below. Do not evaluate the integral. i) x-axis by using Washer Method. ii) y=5 by using Disk Method. (b) Determine the volume of the solid obtained when the shaded region is revolved about the line x=-1 by using Cylindrical Shell Method.
The shaded region in Figure 3 is bounded by curve y=x+ and line y = 5. X y X=-1 y=x+- y=5 (1,5) (4,5) X Figure 3 (a) Set up an integral for the volume of the solid obtained by rotating the shaded region about the indicated axis of revolution below. Do not evaluate the integral. i) x-axis by using Washer Method. ii) y=5 by using Disk Method. (b) Determine the volume of the solid obtained when the shaded region is revolved about the line x=-1 by using Cylindrical Shell Method.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![QUESTION 10
4
The shaded region in Figure 3 is bounded by curve y=x++ and line y = 5.
X
y
X=-1
y=x+4 124
y=5
(1,5)
(4,5)
Figure 3
(a)
Set up an integral for the volume of the solid obtained by rotating the shaded region
about the indicated axis of revolution below. Do not evaluate the integral.
i)
x-axis by using Washer Method.
ii)
y = 5 by using Disk Method.
(b)
Determine the volume of the solid obtained when the shaded region is revolved about
the line x = -1 by using Cylindrical Shell Method.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3a03f0b-86de-42d1-bf43-0c20c8a1bd7c%2F675153e1-3479-4b47-9086-44f7d5e55509%2Fdwpejno_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTION 10
4
The shaded region in Figure 3 is bounded by curve y=x++ and line y = 5.
X
y
X=-1
y=x+4 124
y=5
(1,5)
(4,5)
Figure 3
(a)
Set up an integral for the volume of the solid obtained by rotating the shaded region
about the indicated axis of revolution below. Do not evaluate the integral.
i)
x-axis by using Washer Method.
ii)
y = 5 by using Disk Method.
(b)
Determine the volume of the solid obtained when the shaded region is revolved about
the line x = -1 by using Cylindrical Shell Method.
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