Lecture Notes 9

# A 20 2 y2 x 4 rotated about the y axis 15 e b 10 05 c

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Unformatted text preview: icated axis. A 2.0 2 y=2- x 4 Rotated about the y axis. 1.5 E B 1.0 0.5 C 0.5 0.5 C 1.0 2 1.5 y= 3 1 x=3-y 1 D 2.0 D 2 2 BA 3 2.5 Rotated about the x-axis Example 3 Use the shell method to find the volumes of the solids generated by revolving the regions bounded by the curves and lines about the y-axis. y = 2x, y = x/2, x = 1 Example 4 Use the shell method to find the volumes of the solids generated by revolving the regions bounded by the curves and lines about the x-axis. x = y2, x = -y, y = 2, y > 0 Example 5 Find the volumes of the solids generated by revolving the regions about the given axes. If you think it would be better to use washers in any given instance, feel free to do so. a. The region bounded by i. the x-axis ii. the y-axis iii. the line x = 4 iv. the line y = 2 √, 2, 0 about b. The region bounded by i. the x axis ii. the y-axis √ and about...
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## This document was uploaded on 03/09/2014 for the course MATH 182 at University of Nevada, Reno.

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