3.7 Find the time function corresponding to each of the following Laplace transforms using partial-fraction expansions: (a) F(s) = 5 = S( 5+7 ) une is defined by the parameter (b) F (s ) = 6 s(5+1) (5+2) BritainWaythey are related to the time (c) F(S) = adadver sbrill, $1,Ping time c. and overshoot $2+5+20 hal islengthy, The correspondences between (d) F(S) = 55+3 (s+ 1)(52+25+30) with no zeros are given by M (e) F(s) = $2+2 (3.95) (1) F(S) = s+1 S($2+4) (g) F(S) = 32 ( 5 + 1 ) (3 96) (h) F(s) = 3 (3:97 18 (1) F(s) = 4+9 3 () F(S) = S.E