Lest1 Feb/2021 5.00,6 DT Do NOT share/distri M15 ibute/post/u 51 S21 Mini Test1 Do 26/Feb/202 5:00-6:1 PDT T share/distribtpost/upadM151 S21 Mini? 21 MiniTes Using the method of volumes by SHELLS, write an integral (or integrals) for the solid generated by rotating about the a = -3 line (note that the line is off-axis!) the shaded region on the figure. Do NOT forget to sketch a typical shell for this object. y g(x) YこX+3 het合hこs()しょ) -7 -6 -5 -4 -3 -2 -1 1 『こSC3)(6c4) -f(4))ひ4す, (け+a)(F4)-24)) こ5。 V = ABDA5975-AB13-B10F-EE64-17E21CACF48

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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What does V=
/Feb/2021 5.00
1-6:10 DT
Do NOT share/distr
M1S
Do NOT share/distri A
/Feb/2021 5.00 R
5.00
/distribute/post/ud N51 S21 MiniTest
Do
dini Test1 26/Feb/202 5:00-6:1 PDT
2o NOT share/distrib/post/upadM151 S21 Mini
oFeb/26
MiniTesti
51 S21
Using the method of volumes by SHELLS, write an integral
(or integrals) for the solid generated by rotating about the
x = -3 line (note that the line is off-axis!) the shaded region
on the figure. Do NOT forget to sketch a typical shell for this
object.
Lest1
y
g(x)||
ゆ Shot
rhdx
ニストり tmdtすhitC)うし)
-7 -6 -5 -4
-3
-2 -1
1
(人3)(6c4) -f4) けtu」(f4)-24) )
V =
ABDA5975-AB13-B10F-EE64-17E21CACF48
Transcribed Image Text:/Feb/2021 5.00 1-6:10 DT Do NOT share/distr M1S Do NOT share/distri A /Feb/2021 5.00 R 5.00 /distribute/post/ud N51 S21 MiniTest Do dini Test1 26/Feb/202 5:00-6:1 PDT 2o NOT share/distrib/post/upadM151 S21 Mini oFeb/26 MiniTesti 51 S21 Using the method of volumes by SHELLS, write an integral (or integrals) for the solid generated by rotating about the x = -3 line (note that the line is off-axis!) the shaded region on the figure. Do NOT forget to sketch a typical shell for this object. Lest1 y g(x)|| ゆ Shot rhdx ニストり tmdtすhitC)うし) -7 -6 -5 -4 -3 -2 -1 1 (人3)(6c4) -f4) けtu」(f4)-24) ) V = ABDA5975-AB13-B10F-EE64-17E21CACF48
Expert Solution
Step 1

Given that the sloid is revolving about the line x=-3

From shell methods we know that the volume of solid is given by the formula 

Vol=ab2πrhdx

Here, r=x+3 and h(x) vary

So, the integral for volume of solid is given by 

 

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