Hey guys, I'm having a hard time with this question my professor assigned to my class.

Here it is:

The temperature on a metal plate is given by T(x,y) = 4x^2 - 4xy + y^2.  AN ant walks around the origin along the circle of radius 5 centered at the origin.  What are the highest and lowest temperatures encountered by the ant? Plot the temperature function and the points of highest and lowest temperatures together on one plot.

I would appreaciate any help.