The temperature at a point (, y ) (in degree Celsius) on a metal plate is given by: T(a, y) = (2 - 2)2 + (y + 3)2 An ant crawls on the plate following a path along a circle of radius 3 centered at the origin. Using the method of Lagrange multipliers, find the maximum and minimum temperatures that the ant will encounter as it completes this journey, as well as the (ac, ? ) coordinates where those extrema will occur