You are going to find the absolute maximum and minimum of the function $f(x,y)=6x^2-3xy+9y^2-12x+3y+7$ on the domain defined by $0x2$ and $-1y3$

First, find the critical point for the function:

You have four lines that make up the boundary of your region. They are $$ syntax error: this is not an equation., $$

$,$ and

There is one critical point along each edge of the boundary. These critical points are $,$

$$

$,$ and $$