IsnoltosFor another method6.2 EXERCISES1-18 Find the volume of the solid obtained by rotating the regionbounded by the given curves about the specified line. Sketch theregion, the solid, and a typical disk or washer.1. y x + 1, y = 0, x = 0, x 2; about the x-axis2. y1/x, y = 0, x = 1, x = 4; about the x-axis3. yVx1, y = 0, x = 5; about the x-axis4. y e, y = 0, x = -1, x = 1; about the x-axis5. x 2y, x = 0, y 9; about the y-axisbac 0.6. 2x y', x = 0, y = 4; about the y-axis7. y x, y= x, x > 0; about the x-axis8. y 6-x, y 2; about the x-axisx, x = 2y; about the y-axis019. y10. x2 y, x = y'; about the y-axisXx, x = y; about y = 111. y1, x = 2; about y -312. y x, y13. y 1+ sec x, y 3; about y 1T/4; about y = -114. y sin x, y cos x, 0

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Asked Sep 8, 2019
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Isnoltos
For another method
6.2 EXERCISES
1-18 Find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified line. Sketch the
region, the solid, and a typical disk or washer.
1. y x + 1, y = 0, x = 0, x 2; about the x-axis
2. y
1/x, y = 0, x = 1, x = 4; about the x-axis
3. y
Vx1, y = 0, x = 5; about the x-axis
4. y e, y = 0, x = -1, x = 1; about the x-axis
5. x 2y, x = 0, y 9; about the y-axis
bac 0.
6. 2x y', x = 0, y = 4; about the y-axis
7. y x, y= x, x > 0; about the x-axis
8. y 6-x, y 2; about the x-axis
x, x = 2y; about the y-axis
01
9. y
10. x2 y, x = y'; about the y-axis
X
x, x = y; about y = 1
11. y
1, x = 2; about y -3
12. y x, y
13. y 1+ sec x, y 3; about y 1
T/4; about y = -1
14. y sin x, y cos x, 0
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Isnoltos For another method 6.2 EXERCISES 1-18 Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. 1. y x + 1, y = 0, x = 0, x 2; about the x-axis 2. y 1/x, y = 0, x = 1, x = 4; about the x-axis 3. y Vx1, y = 0, x = 5; about the x-axis 4. y e, y = 0, x = -1, x = 1; about the x-axis 5. x 2y, x = 0, y 9; about the y-axis bac 0. 6. 2x y', x = 0, y = 4; about the y-axis 7. y x, y= x, x > 0; about the x-axis 8. y 6-x, y 2; about the x-axis x, x = 2y; about the y-axis 01 9. y 10. x2 y, x = y'; about the y-axis X x, x = y; about y = 1 11. y 1, x = 2; about y -3 12. y x, y 13. y 1+ sec x, y 3; about y 1 T/4; about y = -1 14. y sin x, y cos x, 0

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Expert Answer

Step 1

First show the region for the given equation on the given intervals as shown in below figure.

y x1
3+
2+
(2,0)
|(0,0)
0
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y x1 3+ 2+ (2,0) |(0,0) 0

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Step 2

Now rotate the shaded region of the graph in...

24
-2
-3-
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24 -2 -3-

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Math

Calculus