Can you help me to understand what to do in the following question?
The question is just to choose one alternative, justifying your answer.
Which of the following sets of restrictions and points will be able to apply Lagrange's multipliers method to find the extrema of a function?
a) $g(x,y)=\sin x^2+y^2 \cos y$ and $\{(\sqrt{\pi},0),(0,\pi/2),(0,0)\}$.
b) $g(x,y)=x-y^2$, with $0\leq y \leq 1$ and $\{(0,0),(1/4,1/2)\}$.
c) $g(x,y)=x^2+y^2-1$ and $\{(1,0),(0,-1)\}$.
d) $g(x,y)=x^2-3x+4y^2-3z^2-6z-3/4$ e $\{(0,\sqrt{3}/4,0),(3/2,0,-1)\}$.
What I am suppossed to do? To see if the points are critical points of $g$ are on the sets mentioned?
Thank you
The question in the original language.
