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For the following exercises, use shells to find the volume generated by rotating the regions between the given curve and y = 0 around the x-axis.

For the following exercises, use shells to find the volume generated by rotating the regions between the given curve and y = 0 around the x-axis.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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do problem 137, answer should be 113pi/5. Explain step by step and you must use shells to solve it. See attached instructions. 

15:58 2.3 Volumes of Revolution: Cylindrical Shells 130. y = x-axis For the following exercises, use shells to find the volume generated by rotating the regions between the given curve and y = 0 around the x-axis. 132. y 131. y = x², x = x², 133. y = = √1-x², x=0, x= 1 and the 2 135. x = axis x³ 22 138. x = x-axis 2 x² x=0, x= 2 and the x-axis 1 134. x = 1+ y ²⁹ 2 1+y У 136. x = cos x = 1, x = 2, and the x-axis 9 x = 0, x = 2, and the x-axis y, x = cos y, x = 0, and y = π 137. x = y³ – 2y², x = 0, x = 9 3 , y = 1, and y = 4 , y = 1, y = 4, and the y- √y+1, x = 1, x = 3, and the 3y 139. x = /27yand x = 4 For the following exercises, find the volume AA 9 openstax.org
Transcribed Image Text:15:58 2.3 Volumes of Revolution: Cylindrical Shells 130. y = x-axis For the following exercises, use shells to find the volume generated by rotating the regions between the given curve and y = 0 around the x-axis. 132. y 131. y = x², x = x², 133. y = = √1-x², x=0, x= 1 and the 2 135. x = axis x³ 22 138. x = x-axis 2 x² x=0, x= 2 and the x-axis 1 134. x = 1+ y ²⁹ 2 1+y У 136. x = cos x = 1, x = 2, and the x-axis 9 x = 0, x = 2, and the x-axis y, x = cos y, x = 0, and y = π 137. x = y³ – 2y², x = 0, x = 9 3 , y = 1, and y = 4 , y = 1, y = 4, and the y- √y+1, x = 1, x = 3, and the 3y 139. x = /27yand x = 4 For the following exercises, find the volume AA 9 openstax.org
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