12. x3y12y 9, x = 0Sal29-32Qn13. x 1(y - 2), x= 2oesb vliensthe solic14. x +y 4, x= y- 4y +4C29.29Se_31. 2m15-20 Use the method of cylindrical shells to find the volumegenerated by rotating the region bounded by the given curvesabout the specified axis.32.0SC315. y x, y 8, x = 0; about x 39er16. y 4 2x, y 0, x = 0; about x = -133-34intersec17. y 4x- xt, y= 3; about x 1your ca18. y Vx, x = 2y; about x = 5rotating19. x 2y2, y > 0, x 2; about y 233. y20. x 2y2, x = y + 1; abouty = -234. y21-26CAS 35-36(a) Set up an integral for the volume of the solid obtained byrotating the region bounded by the given curve about theof the scurvesspecified axis.

Question
Asked Sep 16, 2019
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#19

12. x
3y
12y 9, x = 0
Sal
29-32
Qn
13. x 1(y - 2), x= 2
oesb vliens
the solic
14. x +y 4, x= y- 4y +4
C
29.
29
Se
_
31. 2m
15-20 Use the method of cylindrical shells to find the volume
generated by rotating the region bounded by the given curves
about the specified axis.
32.
0
SC
3
15. y x, y 8, x = 0; about x 3
9er
16. y 4 2x, y 0, x = 0; about x = -1
33-34
intersec
17. y 4x- xt, y= 3; about x 1
your ca
18. y Vx, x = 2y; about x = 5
rotating
19. x 2y2, y > 0, x 2; about y 2
33. y
20. x 2y2, x = y + 1; abouty = -2
34. y
21-26
CAS 35-36
(a) Set up an integral for the volume of the solid obtained by
rotating the region bounded by the given curve about the
of the s
curves
specified axis.
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12. x 3y 12y 9, x = 0 Sal 29-32 Qn 13. x 1(y - 2), x= 2 oesb vliens the solic 14. x +y 4, x= y- 4y +4 C 29. 29 Se _ 31. 2m 15-20 Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis. 32. 0 SC 3 15. y x, y 8, x = 0; about x 3 9er 16. y 4 2x, y 0, x = 0; about x = -1 33-34 intersec 17. y 4x- xt, y= 3; about x 1 your ca 18. y Vx, x = 2y; about x = 5 rotating 19. x 2y2, y > 0, x 2; about y 2 33. y 20. x 2y2, x = y + 1; abouty = -2 34. y 21-26 CAS 35-36 (a) Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curve about the of the s curves specified axis.

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Expert Answer

Step 1

First draw the given curves and lines as shown in below figure.

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y 2 y = 2y2 |(2,1) 0 x 2

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Step 2

Now solve the given equation...

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x 2y2 2 2y2 y2 1 y1y20 Thus, the curve in the first quadrant lies at (0,1)

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Tagged in
MathCalculus

Integration