For this assessment item, you must produce MATLAB code which: 1. Calculates the instantaneous rate of change of wind direction using: (a) backward differences (b) forward differences (c) central differences 2. Plots the three sets of derivatives as functions of time. 3. Produces scatter plots of maximum wind gust as functions of each of the derivatives. 4. Displays a message in the Command Window with a brief discussion of the scatter plots. Discuss which of the derivatives should be used to compare with the wind gust and why. Discuss whether you think the wind changes direction too quickly while the wind speed is high and why. 5. Has appropriate comments throughout. You must also use a backward difference, forward difference and central difference by hand to determine the rate of change of wind direction for the twelfth data entry; submit this working in a pdf file. Your MATLAB code must test (verify) whether these values are the same as computed by the code for the three differences