Consider the region R enclosed by all of the curves y sin z, y = cos z, z = π/2, and z= . Which of the following expressions DOES NOT compute the volume of the solid obtained by rotation R around the y-axis? 272 (sin z - cos 2) da */2 O L₁ (² - (cos ¹(u))") dy + S = ((sin ~¹(u))² - ) du म ((sin ¹(u))²-(cos(u))) du [2² w/2 + ₁ = ((sin-¹ (u))² - ) dy 2xz (sin 2) dz +

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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Consider the region R enclosed by all of the curves y sin x, y = cos x, x= x/2, and x = π.
Which of the following expressions DOES NOT compute the volume of the solid obtained by rotation R around
the y-axis?
f 2nz (sin r- cos r) da
(7² - (cos ¹(u))²) dy + ((sin '())² - ) dy
TT
म
((sin-¹ (u))² - (cos (u))²) dy
dy
27z(sin 2) dz + + ₁ = ((sin ¹())²¹) du
Transcribed Image Text:Consider the region R enclosed by all of the curves y sin x, y = cos x, x= x/2, and x = π. Which of the following expressions DOES NOT compute the volume of the solid obtained by rotation R around the y-axis? f 2nz (sin r- cos r) da (7² - (cos ¹(u))²) dy + ((sin '())² - ) dy TT म ((sin-¹ (u))² - (cos (u))²) dy dy 27z(sin 2) dz + + ₁ = ((sin ¹())²¹) du
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