(2 points) Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5
on the domain x2+y2≤49
.

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).