question 2 and 3 can I have Matlab code

questions 2 and 3. Thank you

digits. (15 points) 2. Write a program to apply the Modified Newton's Method to the equation f(x) 3 32 4 0 starting with To 3. Use m 1 and 2 and make separate numerical runs. In each case, set the maximum number of iterations to 25, but stop the computation when the backward error, i.e. f(xn), is less than 10-12 Print all intermediate points In and backward errors f(n). Verify the convergence rates of your numerical solutions in both cases. (For m 1, you should observe linear convergence. For m 2, you should get quadratic convergence.) Use double precision in your computation. (15 points) 3. Write a program to apply the formula to approximate the fourth derivative of f(x) = cos(2x) at x =-, with h =-,-, respectively. Print out the error in absolute value for each choice of h, and verify that your numerical results have the correct order of accuracy. (10 points)