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Let K be the region bounded by the graphs of y = x 2 4 , y = 2 1 x 1 and the line

Let K be the region bounded by the graphs of y=x24,y=21x1and the linex=2. Denote the area of the region K by A. Let V be the volume of the solid formed by rotating K completely about the x-axis and S be the volume of the solid formed by rotating K completely about the y-axis.

(i) What is the value of A?

(ii) What is the value of V?

(iii) What is the value of S?

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