FIND THE CENTROID:
a. of the region enclosed between the curves y=x1/2 ,
y=1, y=2 and the y-axis.
b. of the 1st quadrant area bounded by the curve
y=4-x2
c. of the region bounded by the curve y=x3 and
x=y2
a) Find the area of the region bounded by the line y = x and the
curve y = 2 - x^2. Include a sketch.
Find the volume of the solid created when rotating the region in
part a) about the line x = 1, in two ways.