Forz=e*-2x+2y*+3 a. Find the critical point(s), if any. [Hint: find (x",y", f(x",y")) ] b. Use the second total derivative method to classify each point as a local maximum, local minimum or indeterminate. For z = x? + xy +2y*+3 a. Find the critical point(s), if any. [Hint: find (x",y", f(x",y")) ] b. Use the second total derivative method to classify each point as a local maximum, local minimum or indeterminate. Forz = f(x,y) = x* + y* (x + y)*? a. Find the critical point(s), if any. [Hint: find (x",y", f(x",y")). There are three critical points.] b. Use the Hessian matrix to classify each point as a local maximum, local minimum or indeterminate. For f(x,y,z) = x? 4+ 3y%2 + 3xy + 4yz + 622 a. Find the critical point(s), if any. [Hint: find (x",y",z", f(x",y",2)) ] b. Use the Hessian method to classify each point as a local maximum, local minimum or indeterminate (saddle point). For f(x,y,2z) = 29 (x2 + y%2 + z?) a. Find the critical point(s), if any. [Hint: find (x*,y",2", f(x",y",2")) ] b. Use the Hessian method to classify each point as a local maximum, local minimum or indeterminate (saddle point)