Exercise Fintl the irrvciw T,ztplace transform f ( t ) = G-l{ F ( s ) } o f 2-9 - F(5) T Re{s} > - C h i p a r e differriit nretlrods of' p r t i a l (5 4.-1)"s 4)' _I_ xereise 5-4 F(s) = ,542 +3 + + 25 +-5 has conipkx conjugate polcs m t l a right-sided rcgioii of convergriice Find it4 inverse ~ a p i u c etiansfoforiii f i t ) - L C - ' ( F ( S )arid } represerrt tlic resiilt as sinr i ~ i cosine i tcriris a) 'Ilsc the complex partial fractioii cxpaiision F ' ( s ) = A s - Sli A" - -r s - -5;