maximize f(x) = 2x₁x₂+ x₂- x₁²- 2x₂²

1 . Apply two iterations of Newton's method, with initial point x⁽⁰⁾= (1, 1)^Tto this problem.

2 . Apply the gradient search method, with initial point x⁽⁰⁾= (1, 1)^T, and= 0.25.

3. Show that f(x) is concave function, and solve the system of linear equations by settingf(x) = 0 to obtain the exact solution.