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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=3y 1 D
2.0 D 2 2 BA
3 2.5 Rotated about the xaxis 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 yaxis.
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 xaxis.
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 xaxis ii. the yaxis iii. the line x = 4 iv. the line y = 2 √, 2, 0 about b. The region bounded by
i. the x axis ii. the yaxis √ and about...
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This document was uploaded on 03/09/2014 for the course MATH 182 at University of Nevada, Reno.
 Summer '14
 AlexanderKumjian
 Calculus

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