Let f:R^2toR be defined by f(x,y)=x^2(2-y)-y^3+3y^2+9y, where (x,y)inR^2. Which of the following is/are saddle point(s) of f?

Q32Section B (Section B)32 of 60

Two saddles among four critical points

Let $f:\mathbb{R}^{2}\to\mathbb{R}$ be defined by $f(x,y)=x^{2}(2-y)-y^{3}+3y^{2}+9y$ , where $(x,y)\in\mathbb{R}^{2}$ . Which of the following is/are saddle point(s) of $f$ ?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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