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The region bounded by y=x^3, y=x, x=0 is the base of a solid. a) If the...

The region bounded by y=x^3, y=x, x=0 is the base of a solid. a) If the cross sections are perpendicular to the x-axis are right isosceles triangles (congruent leg lies on the base), find the volume of the solid. b) If the cross sections are perpendicular to the y-axis are equilateral triangles, find the volume of the solid.

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