The closed-loop transfer function of a negative unity feedback system is given by S³ + 1 T(s) 254 +5² + 2s | Determine the system stability using the Routh Hurwitz criterion to stability. Depending on the case, u the following required method: (Choose only one preferred method) Case 1: Apply the usual procedure of the Routh array. Case 2: Apply the Reciprocal of Roots and Reverse Coefficients Case 3: Apply Auxiliary Polynomial Answer the following questions: • Using the appropriate method in generating the "final" Routh table, enter the elements in the row. (If there are non-terminating numbers, it should be expressed up to 2 decimal places, elements should be separated by single spaces in between) • Using the appropriate method in generating the "Final" Routh table, enter the elements the s³ row. (If there are non-terminating numbers, it should be expressed up to 2 decimal places, elements should be separated by single spaces in between) • Using the appropriate method in generating the "Final" Routh table, enter the elements the s² row. (If there are non-terminating numbers, it should be expressed up to 2 decimal places, elements should be separated by single spaces in between) • Using the appropriate method in generating the "Final" Routh table, enter the elements the s¹ row. (If there are non-terminating numbers, it should be expressed up to 2 decimal places, elements should be separated by single spaces in between) • Using the appropriate method in generating the "Final" Routh table, enter the elements the sº row. (If there are non-terminating numbers, it should be expressed up to 2 decimal places, elements should be separated by single spaces in between) . Considering the first column of the "final" Routh table generated, how many sign change