This problem concerns the function g(x,y) = x2 − 2y2 + 2x + 3. (a) Find any critical po...

This problem concerns the function g(x,y) = x² − 2y² + 2x + 3.

(a) Find any critical points of g.

(b) Use the increment g to determine the nature of the critical points of g.

(c) Use the Hessian criterion to determine the nature of the critical points.