Each integral represents the volume of a solid. Describe the solid. (a) y dy O The volume of the solid obtained by rotating the region R = {(x, y) I 3 s ys 9,0 sxs vy} of the xy-plane about the x-axis. O The volume of the solid obtained by rotating the region R= {(x, y) | 3 s ys 9,0 s xs vy} of the xy-plane about the y-axis. O The volume of the solid obtained by rotating the region R = {(x, y) | 3s ys 9, 0sxS of the xy-plane about the x-axis. O The volume of the solid obtained by rotating the region {(x, Y) 1 3sys9,0 sxs R = of the xy-plane about the y-axis. O None of these are correct. (b) [(1 + cos x)? - 1²] dx O The volume of the solid obtained by rotating the region R = {(x, y) I 0sx s , 1sys1+ cos x of the xy-plane about the x-axis. O The volume of the solid obtained by rotating the region R = {(x, y) 1 0sxs, 1sys1+ cos. of the xy-plane about the y-axis. O The volume of the solid obtained by rotating the region R = 1sysi+ cos² x> of the xy-plane about the x-axis. O The volume of the solid obtained by rotating the region R = 1sysi+ cos? of the xy-plane about the y-axis. O None of these are correct.
Each integral represents the volume of a solid. Describe the solid. (a) y dy O The volume of the solid obtained by rotating the region R = {(x, y) I 3 s ys 9,0 sxs vy} of the xy-plane about the x-axis. O The volume of the solid obtained by rotating the region R= {(x, y) | 3 s ys 9,0 s xs vy} of the xy-plane about the y-axis. O The volume of the solid obtained by rotating the region R = {(x, y) | 3s ys 9, 0sxS of the xy-plane about the x-axis. O The volume of the solid obtained by rotating the region {(x, Y) 1 3sys9,0 sxs R = of the xy-plane about the y-axis. O None of these are correct. (b) [(1 + cos x)? - 1²] dx O The volume of the solid obtained by rotating the region R = {(x, y) I 0sx s , 1sys1+ cos x of the xy-plane about the x-axis. O The volume of the solid obtained by rotating the region R = {(x, y) 1 0sxs, 1sys1+ cos. of the xy-plane about the y-axis. O The volume of the solid obtained by rotating the region R = 1sysi+ cos² x> of the xy-plane about the x-axis. O The volume of the solid obtained by rotating the region R = 1sysi+ cos? of the xy-plane about the y-axis. O None of these are correct.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Answer both parts please
![Each integral represents the volume of a solid. Describe the solid.
(a)
у dy
O The volume of the solid obtained by rotating the region R = {(x, y) | 3 s y s 9,0 s x<
vr}
of the xy-plane about the x-axis.
O The volume of the solid obtained by rotating the region R = {(x, y) | 3 s y s 9,0 s xsV
of the xy-plane about the y-axis.
O The volume of the solid obtained by rotating the region R = {(x, y) | 3sys 9,0 s x <,
가
of the xy-plane about the x-axis.
O The volume of the solid obtained by rotating the region R = {(x, y) | 3 s y s 9, 0 s x s y}
of the xy-plane about the y-axis.
O None of these are correct.
/2
(b)
[(1 + cos x)2 - 1²] dx
O The volume of the solid obtained by rotating the region R = {(x, y) I 0 s x < , 1 s ys1 + cos .
자
of the xy-plane about the x-axis.
O The volume of the solid obtained by rotating the region R =
{(x, » 10Sxs플 1sys 1 + cos.
자
of the xy-plane about the y-axis.
O The volume of the solid obtained by rotating the region R =
,1s ys1+ cos² x>
of the xy-plane about the x-axis.
O The volume of the solid obtained by rotating the region R = {(x, y) | 0 < x < ,
1sys1 + cos² x
of the xy-plane about the y-axis.
O None of these are correct.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd53b5d21-36fa-4ee2-932f-fd40dc0982c5%2F590d3427-84ab-4be5-a3d8-f7e2620aa73f%2F57rkiai_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Each integral represents the volume of a solid. Describe the solid.
(a)
у dy
O The volume of the solid obtained by rotating the region R = {(x, y) | 3 s y s 9,0 s x<
vr}
of the xy-plane about the x-axis.
O The volume of the solid obtained by rotating the region R = {(x, y) | 3 s y s 9,0 s xsV
of the xy-plane about the y-axis.
O The volume of the solid obtained by rotating the region R = {(x, y) | 3sys 9,0 s x <,
가
of the xy-plane about the x-axis.
O The volume of the solid obtained by rotating the region R = {(x, y) | 3 s y s 9, 0 s x s y}
of the xy-plane about the y-axis.
O None of these are correct.
/2
(b)
[(1 + cos x)2 - 1²] dx
O The volume of the solid obtained by rotating the region R = {(x, y) I 0 s x < , 1 s ys1 + cos .
자
of the xy-plane about the x-axis.
O The volume of the solid obtained by rotating the region R =
{(x, » 10Sxs플 1sys 1 + cos.
자
of the xy-plane about the y-axis.
O The volume of the solid obtained by rotating the region R =
,1s ys1+ cos² x>
of the xy-plane about the x-axis.
O The volume of the solid obtained by rotating the region R = {(x, y) | 0 < x < ,
1sys1 + cos² x
of the xy-plane about the y-axis.
O None of these are correct.
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