(Solved): Problem 5 : For the following characteristic polynomials (s), use the Routh-Hurwitz test determi ...

Problem 5 : For the following characteristic polynomials $$?(\mathrm{s})$$, use the Routh-Hurwitz test determine if each system is BIBO stable. If not, find out how many roots are in the Right-Half-Plane. If any are on the $$j?$$-axis, then determine where. a) (20 pts) $$?(s)=s^5+5s^4+8s^3+20s^2+10s+10$$ b) (20 pts) $$?(s)=s^5+5s^4+2s^3+20s^2+10s+10$$ c) $$(20$$ pts) $$?(s)=s^5+s^4+15s^3+5s^2+44s+4$$