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\[ f\left({x,y}\right) =\left\{\begin{array}{l}\frac{{x^{2}\,y}}{{x^{3}-y^{2}}}\,\,\,\,if\,\,\,x^{3}\ne y^{2}\\ \,\,\,\,\,\,\,0\,\,\,\,\,\,\,\,\,\,\,otherwise\,\,\,\,\\ \end{array}\right. \]

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