[Solution Library] A region R in the first quadrant on the plane is bounded by the graphs of y=x^1/3 and y=x^3. Sketch the region R . Clearly label which
Question: A region R in the first quadrant on the plane is bounded by the graphs of \(y={{x}^{1/3}}\) and \(y={{x}^{3}}\).
- Sketch the region R . Clearly label which curve is that of \(y={{x}^{1/3}}\) and which is that of \(y={{x}^{3}}\).
- Find the volume of the solid of revolution when R is rotated about the x-axis
- Find the volume of the solid of revolution when R is rotated about the y-axis
- Find the volume of the solid of revolution when R is rotated about the line y = -2
Deliverable: Word Document 
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