QUESTION 4. Optimization via Golden Section Search by Hand and using MATLAB. [Show the hand calculations for Part 1. Include the M file and the iterative results for Part II] {Mark: 7;3.5, 3.5) The performance of a system, y = In x sin[x/(5y)]/x, where x/(5y) is in radians, and y is unimodal between 1 sxsil. Optimize the performance using the Golden Section Search. y = 5 + average of the last 4 digits of your student ID; c.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%