Perform the following tasks using your knowledge of the related course subject, while also fully utilizing the capabilities of MATLAB as necessary and as you see fit. Always remember to show your calculations to get a full grade. In addition to this, if you perform your calculations in MATLAB as much as possible, you will get bonus grades. 1. Define a transfer function as G(s) = 120000s/s+ + 100s + 3500s + 50000s + 240000 Create its Bode plot using bode. 2. Find the frequency response G(jw) of G(s). Find the poles and zeros of G(s). 3. Plot the real magnitude response using G(jw) with x-axis being logarithmic in the range [0.1,1000] rad/s and y-axis being in decibels. Plot the asymptotic magnitude response on the same graph using the poles, zeros and the information in Table 2. 4. Plot the real phase response using G(jw) with x-axis being logarithmic in the range [0.1,1000] rad/s and y-axis being in degrees. Plot the asymptotic phase response on the same graph using the poles, zeros and the information in Table 2. 5. Calculate the gain and phase margins by inspecting the graphs of real magnitude and phase responses. Explain how you calculated them visually or using a few sentences and show your calculations. 6. Based on the gain and phase margins you found, comment on the stability of G(s).