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Let C(1 )and C(2) be two curves passing ...

Let `C_(1 )and C_(2)` be two curves passing through the origin as shown in the figure. A curve C is said to ‘‘bisect the area’’ the region between `C_(1) and C_(2)`, if for each point P of C, the two shaded regions A and B shown in the figure have equal areas. Determine the upper curve `C_(2)`, given that the bisecting curve C has the equation`y = x^(2)` and that the lower curve `C_(1)` has the equation `y = x^(2)//2.`

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