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Unformatted text preview: the curve y = 2 xx 2 and the xaxis about the yaxis. Rotating about the xaxis: Consider the region in the ﬁrst quadrant bounded by the curves y 2 = x and y = x 3 . Use the shell method to compute the volume of the solid obtained by rotating this region around the xaxis. On your own: Consider the region in the ﬁrst quadrant bounded by the curves y 2 = x and y = x 3 . Use the shell method to compute the volume of the solid obtained by rotating this region around the yaxis. Rotating about lines other than the axes: 1. Consider the region bounded by the graphs of y = x 2 and y = x + 2. Use the method of shells to ﬁnd the volume of the solid obtained by rotating about the line x = 3. 2. Find the volume of the solid obtained by rotating the region bounded by y = xx 2 and the x axis about the line x = 2....
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 '06
 EDeSturler
 Euclidean geometry, π, v=

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