Find the inverse Laplace transform of each of the following functions:
(a) F(S)=(4)/(S)+(4S)/(S^(2)+9)
(b) ,F(S)=(S(S-8)e^(-6S))/((S+2)(S^(2)+16))
(c) F(S)=(4S(2-e^(-4s)))/(S^(2)+9)
af(t)=4(1+cos3t)u(t)
bf(t)=[e^(-2(t-6))-2sin(4(t-6))]u(t-6)
cf(t)=8cos3tu(t)-4cos3(t-4)u(t-4)
af(t)=4(1+cos3t)u(t)
bf(t)=[.98e^(-2(t-6))-2sin(4(t-6))]u(t-6)
cf(t)=8cos3tu(t)-4.8cos3(t-4)u(t-4)
af(t)=4(1+cos3t)u(t)
bf(t)=[e^(-2(t-6))-5sin(4(t-6))]u(t-6)
cf(t)=1cos3tu(t)-4cos3(t-4)u(t-4)
af(t)=4(1+cos3t)u(t)
bf(t)=[e^(-2(t-6))-2cos(4(t-6))]u(t-6)
cf(t)=8cos3tu(t)-4sin3(t-4)u(t-4)