[See Solution] Let R be the plane region bounded by y=√x, y=6-x, and the y -axis. Sketch R and find its area. Set up, but do not evaluate, an integral
Question: Let \(R\) be the plane region bounded by \(y=\sqrt{x}, y=6-x\), and the \(y\) -axis.
- Sketch \(R\) and find its area. (10 points)
- Set up, but do not evaluate, an integral that represents the volume of the solid obtained by rotating \(R\) about the \(x\) -axis.
- Set up, but do not evaluate, an integral that represents the volume of the solid obtained by rotating \(R\) about the line \(x=3\).
Deliverable: Word Document 
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