The curve y = x and the line y = x meet at the points A and

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The curve y² = x and the line y = x meet at the points A and B.

a) Find the coordinates of the points A and B.

b) Sketch the curve y² = x and the line y = x on one set of axes.

c) Find the volume obtained when the region between the line and the
curve is rotated through 360° about the x-axis. 

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