Compute the Routh array for the following characteristic equation. Use it to assess stability: if unstable, how many poles are in the RHP? s^9 + 2s^8 + 3s^7 + 5s^6 + 4s^5 + 6s^4 + 4s^3 + 5s^2 + 3s + 4 = 0 All numbers in the array will be whole numbers except for a few entries that have a denominator of 2 or 7. (Yes, there are many computer programs out there that will compute the Routh array for you. For your own benefit, do it by hand.)