QUESTION 4. Optimization via Golden Section Search by Hand and using MATLAB. [Show the hand calculations for Part I. Include the M file and the iterative results for Part II] {Mark: 7; 3.5, 3.5} The performance of a system, y = ln x sin[x?/(57)]/x, where x?/(5y) is in radians, and y is unimodal between 1 sxs11. Optimize the performance using the Golden Section Search. y=5+ average of the last 4 digits of your student ID; e.g., 107 333 450 = 5+(3+4+5+0)/4 = 8 Part I. Show the first 3 iterations step-by-step by hand. Part II. Use MATLAB to optimize the performance until the approximate relative error is less than 5%