4 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.
4 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.
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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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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