QUESTION 4. Implement Newton's method with a constant stepsize s. Minimize the above function using your program, and evaluate the impact of choosing s usual choice s 1 as opposed to the Remarks: . Provide a listing of your Matlab or Octave scripts. . For each question, produce a table giving the number of iterations needed for the gradient (Q.3) or Newton's (Q.4) methods to reach the stopping criteria V f(xk, yk) 10- the total number of evaluations of the functions f, Vf et V2f; the order and rate (if it applies) of convergence; the values of the parameters for the method used (s, and for Q.3, s for Q.4) Iterate from (zo, yo) - (2.2) in all vour numerical tests. QUESTION 4. Implement Newton's method with a constant stepsize s. Minimize the above function using your program, and evaluate the impact of choosing s usual choice s 1 as opposed to the Remarks: . Provide a listing of your Matlab or Octave scripts. . For each question, produce a table giving the number of iterations needed for the gradient (Q.3) or Newton's (Q.4) methods to reach the stopping criteria V f(xk, yk) 10- the total number of evaluations of the functions f, Vf et V2f; the order and rate (if it applies) of convergence; the values of the parameters for the method used (s, and for Q.3, s for Q.4) Iterate from (zo, yo) - (2.2) in all vour numerical tests