Consider the function: We a) = 2332 + 1:2 13y (a) {4 points) Find the critical points of f, i.e. where Vf = 0 or where one of the partial derivatives doesn't exist. Use the Hessian or its determinant to classify each of these critical points. Calculate the 1value of f at each of these points. (b) {1 point) Is there a guarantee that f attains a global maximum and minimum value on D : {ay}; |:r:| E 3, |y| E 3}? Which critical points lie Within D