J-4 1 16x 1 (16 x2) dx 3 3 0 - . 128 3 /3 or another method see Exercise 64. (Co otating the region 15. y x, y0, x = 1; about x 2 ine. Sketch the 16. xy 1, y= ), x = 1, x = 2; about x = -1 17. x y2, x= 1 - y; about x 3 he x-axis 18. y x, y 0, x = 2, x = 4; about x = 1 x-axis xis 19-30 Refer to the figure and find the volume generated by rotating the given region about the specified line. x-axis b yA C(O, 1) RZ B(1, 1) y=r TOW O X A(1, 0) 19. Ri about OA 20. R1 about 0C =-1 21. Ri about AB 22. Ry about BC

Question

#15

J-4
1
16x
1
(16 x2) dx
3
3
0
- .
128
3 /3
or another method see Exercise 64.
(Co
otating the region
15. y x, y0, x = 1; about x 2
ine. Sketch the
16. xy 1, y= ), x = 1, x = 2; about x = -1
17. x y2, x= 1 - y; about x 3
he x-axis
18. y x, y 0, x = 2, x = 4; about x = 1
x-axis
xis
19-30 Refer to the figure and find the volume generated by
rotating the given region about the specified line.
x-axis
b
yA
C(O, 1)
RZ
B(1, 1)
y=r
TOW
O
X
A(1, 0)
19. Ri about OA
20. R1 about 0C
=-1
21. Ri about AB
22. Ry about BC

Image Transcription

J-4 1 16x 1 (16 x2) dx 3 3 0 - . 128 3 /3 or another method see Exercise 64. (Co otating the region 15. y x, y0, x = 1; about x 2 ine. Sketch the 16. xy 1, y= ), x = 1, x = 2; about x = -1 17. x y2, x= 1 - y; about x 3 he x-axis 18. y x, y 0, x = 2, x = 4; about x = 1 x-axis xis 19-30 Refer to the figure and find the volume generated by rotating the given region about the specified line. x-axis b yA C(O, 1) RZ B(1, 1) y=r TOW O X A(1, 0) 19. Ri about OA 20. R1 about 0C =-1 21. Ri about AB 22. Ry about BC

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