5. This question is about finding volumes by revolution using the cylindrical shellmethod(a) Find the volume of the solid obtained by rotating about the y-axis the regionbounded between the curve y = x, the x-axis, and the line x4(b) Find the volume of the solid obtained by rotating about the y-axis the regionbounded by y = x, y = , andx 22(c) Find the volume of the solid obtained by revolving the region bounded byy, and y = 2 about the x-axis.Vy,6. Use the shell, disk, or washer method to find the following volumes by revolution:(a) Find the volume of the solid obtained by rotating the region bounded byy=Vx, y0 about the line2 and xi. 4ii. y 2

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Asked Sep 16, 2019
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Find the Volume of 5 (B) using the shell method.

5. This question is about finding volumes by revolution using the cylindrical shell
method
(a) Find the volume of the solid obtained by rotating about the y-axis the region
bounded between the curve y = x, the x-axis, and the line x
4
(b) Find the volume of the solid obtained by rotating about the y-axis the region
bounded by y = x, y = , and
x 2
2
(c) Find the volume of the solid obtained by revolving the region bounded by
y, and y = 2 about the x-axis.
Vy,
6. Use the shell, disk, or washer method to find the following volumes by revolution:
(a) Find the volume of the solid obtained by rotating the region bounded by
y=Vx, y
0 about the line
2 and x
i. 4
ii. y 2
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5. This question is about finding volumes by revolution using the cylindrical shell method (a) Find the volume of the solid obtained by rotating about the y-axis the region bounded between the curve y = x, the x-axis, and the line x 4 (b) Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = x, y = , and x 2 2 (c) Find the volume of the solid obtained by revolving the region bounded by y, and y = 2 about the x-axis. Vy, 6. Use the shell, disk, or washer method to find the following volumes by revolution: (a) Find the volume of the solid obtained by rotating the region bounded by y=Vx, y 0 about the line 2 and x i. 4 ii. y 2

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Expert Answer

Step 1

Let R be the region bounded by the curve y = x, y = –x/2 and x = 2.

This implies that y varies from&ndas...

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