Posted by **Megan** on Thursday, June 9, 2011 at 8:46pm.

Sketch the region bounded by the curves y = x^2, y = x^4.

1) Find the area of the region enclosed by the two curves;

2) Find the volume of the solid obtained by rotating the above region about the x-axis;

3) Find the volume of the solid obtained by rotating the above region about the horizontal line with

equation y = 1 .

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