Each integral represents the volume of a solid. Describe the solid. (a) y dy The volume of the solid obtained by rotating the region R = . {x, v) | 3 s ys 9,0sxs V) of the xy-plane about the x-axis. O The volume of the solid obtained by rotating the region R = 0sx s Vy} of the xy-plane about the y-axis. O The volume of the solid obtained by rotating the region R = {(x, v) 1 3s ys 9,0 s xsy} of the xy-plane about the x-axis. O The volume of the solid obtained by rotating the region R = . {x, v) | 3s ys 9,0 s xs } of the xy-plane about the y-axis. O None of these are correct. '피2 (b) [(1 + cos x)2 - 12] dx O The volume of the solid obtained by rotating the region R = . 1sys1+ cos of the xy-plane about the x-axis. O The volume of the solid obtained by rotating the region R = {(x, y) | 0 < x s , 1 sys1+ cos. of the xy-plane about the y-axis. {ex,») 10 s xs 1sys 1 + cos? x} 자 O The volume of the solid obtained by rotating the region R = of the xy-plane about the x-axis. O The volume of the solid obtained by rotating the region R = 1sy 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 The volume of the solid obtained by rotating the region R = . {x, v) | 3 s ys 9,0sxs V) of the xy-plane about the x-axis. O The volume of the solid obtained by rotating the region R = 0sx s Vy} of the xy-plane about the y-axis. O The volume of the solid obtained by rotating the region R = {(x, v) 1 3s ys 9,0 s xsy} of the xy-plane about the x-axis. O The volume of the solid obtained by rotating the region R = . {x, v) | 3s ys 9,0 s xs } of the xy-plane about the y-axis. O None of these are correct. '피2 (b) [(1 + cos x)2 - 12] dx O The volume of the solid obtained by rotating the region R = . 1sys1+ cos of the xy-plane about the x-axis. O The volume of the solid obtained by rotating the region R = {(x, y) | 0 < x s , 1 sys1+ cos. of the xy-plane about the y-axis. {ex,») 10 s xs 1sys 1 + cos? x} 자 O The volume of the solid obtained by rotating the region R = of the xy-plane about the x-axis. O The volume of the solid obtained by rotating the region R = 1sy 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 all parts
![Each integral represents the volume of a solid. Describe the solid.
(a)
y dy
{x, v) 1 3 s y s 9,0 s x svr}
O The volume of the solid obtained by rotating the region R =
of the xy-plane about the x-axis.
O The volume of the solid obtained by rotating the region R =
y)
0 <xs Vy} of the xy-plane about the y-axis.
{x, v) 1 3 sys 9,0 sxs
{x, v) 1 3 s ys 9,0 s xs
O The volume of the solid obtained by rotating the region R = .
of the xy-plane about the x-axis.
O The volume of the solid obtained by rotating the region R = .
of the xy-plane about the y-axis.
O None of these are correct.
TI/2
(b)
[(1 + cos x)2 – 12] dx
O The volume of the solid obtained by rotating the region R =
1sys1+ cos
of the xy-plane about the x-axis.
O The volume of the solid obtained by rotating the region R =
{(x, v) | 0 < x< , 1sys1+ cos x} of the xy-plane about the y-axis.
O The volume of the solid obtained by rotating the region R = .
1 sys1 + cos? x of the xy-plane about the x-axis.
O The volume of the solid obtained by rotating the region R =
1< y<1+ 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%2Ffc3e87eb-a720-4bf0-b005-dfb918395114%2Fb6fd986b-c640-460b-a5fc-30d1595bae89%2Fb7vqo1u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Each integral represents the volume of a solid. Describe the solid.
(a)
y dy
{x, v) 1 3 s y s 9,0 s x svr}
O The volume of the solid obtained by rotating the region R =
of the xy-plane about the x-axis.
O The volume of the solid obtained by rotating the region R =
y)
0 <xs Vy} of the xy-plane about the y-axis.
{x, v) 1 3 sys 9,0 sxs
{x, v) 1 3 s ys 9,0 s xs
O The volume of the solid obtained by rotating the region R = .
of the xy-plane about the x-axis.
O The volume of the solid obtained by rotating the region R = .
of the xy-plane about the y-axis.
O None of these are correct.
TI/2
(b)
[(1 + cos x)2 – 12] dx
O The volume of the solid obtained by rotating the region R =
1sys1+ cos
of the xy-plane about the x-axis.
O The volume of the solid obtained by rotating the region R =
{(x, v) | 0 < x< , 1sys1+ cos x} of the xy-plane about the y-axis.
O The volume of the solid obtained by rotating the region R = .
1 sys1 + cos? x of the xy-plane about the x-axis.
O The volume of the solid obtained by rotating the region R =
1< y<1+ cos² x> of the xy-plane about the y-axis.
O None of these are correct.
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