25. x= v Sil4. y x, y = 0, x= 1, x = 226. x2y25. y e, y = 0, x= 0, x= 126. у 3 4х — х*, у%3D х27. Use the Midobtained bycurve y=7. y x2, y= 6x - 2x2F128. If the regior8. Let V be the volume of the solid obtained by rotating aboutthe y-axis the region bounded by y Vx andy = x. FindV both by slicing and by cylindrical shells. In both casesdraw a diagram to explain your method.Xform a solidthe volume9-14 Use the method of cylindrical shells to find the volume ofthe solid obtained by rotating the region bounded by the given4curves about the x-axis.9. ху — 1, х %3D 0, у%3D 1, у%3D3210. y x, x = 0, y 211. y x, y = 8, x= 0ballye12. x 3y2+ 12y - 9, x = 013. x1(y - 2)', x= 229-32 Each int14. x y 4, x= y - 4y + 4the solid..2Tx dx29.15-20 Use the method of cylindrical shells to find the volume

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Asked Sep 16, 2019
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#8

25. x= v Sil
4. y x, y = 0, x= 1, x = 2
26. x2y2
5. y e, y = 0, x= 0, x= 1
2
6. у 3 4х — х*, у%3D х
27. Use the Mid
obtained by
curve y=
7. y x2, y= 6x - 2x2
F1
28. If the regior
8. Let V be the volume of the solid obtained by rotating about
the y-axis the region bounded by y Vx andy = x. Find
V both by slicing and by cylindrical shells. In both cases
draw a diagram to explain your method.
X
form a solid
the volume
9-14 Use the method of cylindrical shells to find the volume of
the solid obtained by rotating the region bounded by the given
4
curves about the x-axis.
9. ху — 1, х %3D 0, у%3D 1, у%3D3
2
10. y x, x = 0, y 2
11. y x, y = 8, x= 0
ballye
12. x 3y2+ 12y - 9, x = 0
13. x
1(y - 2)', x= 2
29-32 Each int
14. x y 4, x= y - 4y + 4
the solid.
.2Tx dx
29.
15-20 Use the method of cylindrical shells to find the volume
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25. x= v Sil 4. y x, y = 0, x= 1, x = 2 26. x2y2 5. y e, y = 0, x= 0, x= 1 2 6. у 3 4х — х*, у%3D х 27. Use the Mid obtained by curve y= 7. y x2, y= 6x - 2x2 F1 28. If the regior 8. Let V be the volume of the solid obtained by rotating about the y-axis the region bounded by y Vx andy = x. Find V both by slicing and by cylindrical shells. In both cases draw a diagram to explain your method. X form a solid the volume 9-14 Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given 4 curves about the x-axis. 9. ху — 1, х %3D 0, у%3D 1, у%3D3 2 10. y x, x = 0, y 2 11. y x, y = 8, x= 0 ballye 12. x 3y2+ 12y - 9, x = 0 13. x 1(y - 2)', x= 2 29-32 Each int 14. x y 4, x= y - 4y + 4 the solid. .2Tx dx 29. 15-20 Use the method of cylindrical shells to find the volume

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Expert Answer

Step 1

Draw graph of

тd у - х*
у-
21
у-аxis
у%3DVx
у -?
1-
X-ахis
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тd у - х* у- 21 у-аxis у%3DVx у -? 1- X-ахis

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Step 2

Finding intersection point,

(
Squaring both side
x(x*)
x-x=0
{Take x common
-0
x(x-1)x x+1) = 0 {a* _ b = (a-b)(a? +ab+b')}
x0,(x-1)0, (x2 x+1)0
x 0andx 1
Intersecting Points are (0,0) and (1,1)
help_outline

Image Transcriptionclose

( Squaring both side x(x*) x-x=0 {Take x common -0 x(x-1)x x+1) = 0 {a* _ b = (a-b)(a? +ab+b')} x0,(x-1)0, (x2 x+1)0 x 0andx 1 Intersecting Points are (0,0) and (1,1)

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Step 3

Part(a): By Slici...

V =5A)d. were Ay) = [f(y)? - g()}*]
fy)y,g)y
A)
A)yy
V =r[y-y']dv
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V =5A)d. were Ay) = [f(y)? - g()}*] fy)y,g)y A) A)yy V =r[y-y']dv

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Tagged in

Math

Calculus

Integration