Find the maximum of f (x, y) = 4x + 2y + x2 − 2x4 + 2xy − 3y2 using the steepest ascent method with initial guess x = 0 and y = 0. (a) (5 points) find the gradient vector and hessian matrix for the function f (x, y). (b) (5 points) find the direction of steepest ascent at (0,0). the direction found in this step will be our search direction in the next iteration. (c) (10 points) find the point that maximizes the function f along the search direction. 2.