Problem 1 (25 points) Consider the function f (:13) = m4 32:132. (a) (20 points) Attempt to nd the minimum of f(33) over a: E R1 if it exists using (Pure) Newton's Method with starting point 56(0) 2 1 and show all iterations until it is clear that Newton's method has converged. (b) (5 points) Has Newton's converged to the optimal solution of x)? If not, Why not