ALSO INCLUDE MATLAB CODE

4. (5 pts) Use the Routh Stability Criterion to determine the range of K that makes the following system stable: 12(s2 6) s3 + 9s2 12s + 153K Select a value for K inside the stable range. Verify your result by finding the roots of the polynomial (with your selected K) using the 'roots' command in Matlab, The roots should all have negative real parts. Print your code and output file. Next, select a value for K outside the stable range. Find the roots using Matlab and see if any are in the right half plane (i.e. have positive real parts). Print your code and output file