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Q16Section A (Section A)16 of 35

Type of the critical point of a cubic polynomial in two variables

The function

f(x,y)=3(x2+y2)−2(x3−y3)+6xy,(x,y)∈R2,f(x,y)=3(x^2+y^2)-2(x^3-y^3)+6xy,\quad(x,y)\in\mathbb R^2,

has

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