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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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996 2.3 EXERCISES For the following exercise, find the volume generated when the region between the two curves is rotated around the given axis. Use both the shell method and the washer method. Use technology to graph the functions and draw a typical slice by hand. 129 For gen pand 114. [T] Over the curve of y= 3x, x = 0, and y= 3 %3D rotated around the y-axis. 130 115. [T] Under the curve of y = 3x, x = 0, and x = 3 13 rotated around the y-axis. 13 116. [T] Over the curve of y= 3x, x = 0, and y = 3 %3D rotated around the x-axis. E3 117. [T] Under the curve of y = 3x, x = 0, and x = 3 13 %3D rotated around the x-axis. 118. [T] Under the curve of y = 2x', x = 0, and x = 2 %3D rotated around the y-axis. 119. [T] Under the curve of y = 2x°, x = 0, and x = 2 rotated around the x-axis.
Transcribed Image Text:996 2.3 EXERCISES For the following exercise, find the volume generated when the region between the two curves is rotated around the given axis. Use both the shell method and the washer method. Use technology to graph the functions and draw a typical slice by hand. 129 For gen pand 114. [T] Over the curve of y= 3x, x = 0, and y= 3 %3D rotated around the y-axis. 130 115. [T] Under the curve of y = 3x, x = 0, and x = 3 13 rotated around the y-axis. 13 116. [T] Over the curve of y= 3x, x = 0, and y = 3 %3D rotated around the x-axis. E3 117. [T] Under the curve of y = 3x, x = 0, and x = 3 13 %3D rotated around the x-axis. 118. [T] Under the curve of y = 2x', x = 0, and x = 2 %3D rotated around the y-axis. 119. [T] Under the curve of y = 2x°, x = 0, and x = 2 rotated around the x-axis.
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