Find the maximum and minimum values of the function $f(x,y) = 2x^2 + 3y^2 - 4x - 5$ on the domain $x^2 + y^2 \le 36$.

The maximum value of $f(x,y)$ is:

List the point(s) where the function attains its maximum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7).


The minimum value of $f(x,y)$ is:

List points where the function attains its minimum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7).