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a rectangle with sides parallel to the axis has one vertex at the origin and the opposite vertex on the curve y = Ax^N a...

a rectangle with sides parallel to the axis has one vertex at the origin and the opposite vertex on the curve

y = Ax^N at the point where x = B (A > 0, N > 0, B > 0). Show that the fraction of the area of the rectangle that lies below the curve on the N but is independent on the A and B.

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