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Let f(x) be a polynomial of degree three...

Let f(x) be a polynomial of degree three such that the curve `y = f(x)` has relative extremes at `x=+-2/sqrt(3)` and passes through (0, 0) and (1, -1) dividing the circle `x^2+ y^2 = 4` in two parts the ratio of the areas of two parts

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