1. Consider the curves y=2?x and y=x and the region R bounded by both curves in the first quadrant.(a) Find the area of R.(b) Find the volume of the solid obtained by rotating R about the x-axis
2. Consider the region S in the first quadrant bounded by y= cube root of x and y=8. Find the volume of the solid obtained by rotating S about the y-axis.
3. Find the length of the curve y= 2/3 x^(3/2) on the interval [3,8]4. Consider the triangle with vertices (0,0), (2,0) and (2,2). Calculate the volume of the solid obtained by rotating this triangle about the line y=?3
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