(a) F(s)=10//(s(s+1)(s+oo)]Solution:Using Partial fraction,{:[(10)/(s(s+1)(s+10))=(A)/(s)+(B)/(s+1)+(c)/(s+10)],[A=|_(s=0)=(10)/(10)=1],[Bf_(s=-1)=(10)/(-1xx9)=(-10)/(9)],[c=|_(s=-10)=(10)/(-10+9)=(-1)/(9)],[F(s)=(1)/(s)-(10)/(9)((1)/(s+1))-(1)/(9)(1)/((s+1))]:}Take inverse Laplace kransform,f(t)=u(t)-(10)/(9)e^(-t)u(t)-(1)/(9)e^(-cot u(t))(b)f(s)=(2(s+2))/((s+1)(s^(2)+4) ... See the full answer