Question For the following Laplace domain functions, determine the equivalent time domain functions: a) F(s) = 10 / (s(s+1)(8+10) b) F(s) = 2(s+2)/((s+1)(s2 + 4)) =

Q. 1. a) F(s)=(10)/(s(s+1)(s+10)) ming Pastial fraction rarr{:[=(A)/(s)+(B)/((s+1))+(C)/((s+10))],[A=|_(s=0)=(10)/(10)=1","quad B=|_(s=-1)=(10)/(-1xx9)=-(10)/(9)],[C=|_(s=-10)=(10)/(-10 x-9)=-(1)/(9)],[R(s)=(1)/(s)-(10)/(9)((1)/(s+1))-(1)/(9)(1)/((s+10))]:}Iake invene haplare Inuform.f(t)=v(t)-(10)/(9)e^(-t)v(t)-(1)/(9)e^(-10 t)v(t)b) F(s)=(2(s+2))/((s+1)(s^(2)+4)) wing Pastial fration=(A)/((s+1))+(Bs+C)/((s^(2)+4))=(As^(2)+4A+Bs^(2)+Bs+CS+C)/((s+1)( ... See the full answer

Q. 1. a) F(s)=(10)/(s(s+1)(s+10)) ming Pastial fraction rarr{:[=(A)/(s)+(B)/((s+1))+(C)/((s+10))],[A=|_(s=0)=(10)/(10)=1","quad B=|_(s=-1)=(10)/(-1xx9)=-(10)/(9)],[C=|_(s=-10)=(10)/(-10 x-9)=-(1)/(9)],[R(s)=(1)/(s)-(10)/(9)((1)/(s+1))-(1)/(9)(1)/((s+10))]:}Iake invene haplare Inuform.f(t)=v(t)-(10)/(9)e^(-t)v(t)-(1)/(9)e^(-10 t)v(t)b) F(s)=(2(s+2))/((s+1)(s^(2)+4)) wing Pastial fration=(A)/((s+1))+(Bs+C)/((s^(2)+4))=(As^(2)+4A+Bs^(2)+Bs+CS+C)/((s+1)( ... See the full answer