This is a MatLAB question. All parts needed. Will give thumbs up for correct answers. SOLVE WITHOUT HW3, it cant be uploaded.

Problem 4: For this problem, you will need the HW3.mat file. Save it to your current directory. At the MATLAB command prompt, type the following command: >> load HW.3 You should have a vector of t-values (seconds) and a vector of y-values (cm). (a) Plot the data with t on the x-axis and y and the y-axis. The graph should look like a damped sinusoid of this form: y = e-at sin (2ft) PASTE MATLAB PLOT HERE: (b) You have seen this equation before. It is useful for modeling damped vibrations, diminishing sound waves, and many other engineering applications. Using your plot, estimate the frequency of the sine wave. In the space below, explain how you estimated the frequency. Frequency Estimate: Calculations: (c) Write a script that will find the first twelve local maximum (peak) values for y and the corresponding times then plot the local maximum values vs. time. If you do this correctly, your graph should look like a decaying exponential (e") PASTE MATLAB PLOT AND SCRIPT HERE