Obtain the state variable model for the following transfer function and put the result in terms of the A, B, C and D matrices where the output is y(t): 2 Y(s) = F(s) 8s +55+3 a. Perform the calculation by hand (remember, you only want to return the value of y(t)). b. Calculate the A, B, C and D matrices in MATLAB by using the tf to define a LTI object from the transfer function and the ssdata command to define the state variable model. Comment on the differences between your answer to a and b. Check your work from a by defining a second LTI object using the ss. command, and using the tfdata command to calculated the transfer function. d. Use the tfdata command with your answer from b. How does this answer compare with the original transfer function and your answer from c?