Write a MATLAB script to use Newtons method of optimization (not gradient descent) to minimize two different functions: f(x) = 10x₁² + 10x₂² and f(x) = 10x₁² + x₂². For each function, use x₀ = [0.5, 10]^T (T meaning transpose) as the starting point and ||?f(x)|| < 10^-6 as the stopping criterion. Update law should be ?xi = ??²f(xi)^-1?f(xi)^T. Compute the hessian directly by hand and input this into MATLAB to solve the problem.