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Find a function which divides a rectangle into pieces with given properties

Consider a curve whose Cartesian equation is given by y = f(x), and which passes through the origin. A rectangular region is drawn with one corner at the origin, and the other corner on the curve of the graph of f(x). The curve f(x) then divides the rectangle into two pieces A and B such that one of the regions has area n times the area of the other for every such rectangle. Find the equation of f(x).


Incomplete.

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