Problem 3 (40 points) Let f (a) = (21 -2)4+ (21 -2)2x2+ (2+1)2. Use (Pure) Newton's Method to find the minimum of f (x) over x E R2 if it exists. Choose a starting point x () and show all relevant quantities in each iteration until it is clear that Newton's method has converged or diverged or is no longer well-defined