HOMEWORK SET #5 (1) Problem 9-14. Assume g = 9.81 m/s2. (2) Calculate by hand three iterations of the Golden-Section Search algorithm to approximate the maximum of f(x) = -0.1x2 e-*. Use an initial bracket of XL = O and xu = 3. Show work, and for each iteration indicate the value of Xopt. (3) Problem 13-17. Write your own Matlab function that performs a Golden- Section Search to obtain the solution. Print the code and clearly indicate your answer. (4) Problem 16.14. Print your Excel spreadsheet. Clearly indicate your answer. HOMEWORK SET #5 (1) Problem 9-14. Assume g = 9.81 m/s2. (2) Calculate by hand three iterations of the Golden-Section Search algorithm to approximate the maximum of f(x) = -0.1x2 e-*. Use an initial bracket of XL = O and xu = 3. Show work, and for each iteration indicate the value of Xopt. (3) Problem 13-17. Write your own Matlab function that performs a Golden- Section Search to obtain the solution. Print the code and clearly indicate your answer. (4) Problem 16.14. Print your Excel spreadsheet. Clearly indicate your