Problem 3 (Points 2): Find r(t) using inverse Laplace transform (partial fraction expansion

method), given:

(1) X(s) =

(2) X(s) =

(3) X(s) =

s² +8s +9

s² +8s +7

3s²+28+2

s² (s+5)

s²+3s +5

s(s+ 2)²