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[See Solution] First use a calculator or computer to approximate (graphically or otherwise) the points of intersection of the two given curves. Let R be the

Question: First use a calculator or computer to approximate (graphically or otherwise) the points of intersection of the two given curves. Let \(R\) be the region bounded by these curves. Integrate to approximate the volume of the solid obtained by revolving the region \(R\) around the \(x\) -axis.

The region \(R\) shown in Fig. 6.2 .30 is bounded by the parabolas \(y^{2}=2(x-3)\) and \(y^{2}=x .\) Find the volume of the solid generated by rotating \(R\) around the \(x\) -axis.

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