Perform the partial fraction expansions of the following Laplace transforms Y(s) and find the values of the associated coefficients (i.e., C1, C2, etc.):

(a) Y(S) S +1 s(s2 + 2s + 5) (b (b) Y(S) 1 s(s2 + 8s + 7) (c) Y(s) 1 s(s + 3)2