1. [16 points] Consider the bivariate function flxy) =2 +2y +22% -y + 1. (a) [2 points] Find V f(x,y). (b) [2 points] Find the Hessian matrix H(z,y) for f. (c) [4 points] Locate and classify all stationary points. (d) [2 points] Now consider a domain D = {(z,y) R?|z y +2 > 0, z 0}. Sketch the domain D. (e) [6 points] Find the global maximum and global minimum of f on D