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1) Laplace transforms/Transfer functions Use Laplace transform tables!!!! 1.1: Find the Laplace transform of - 4t) f(t) = lc

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(Gs 2t eu(t (Gs 2t) uti etul akir Latlaa FCA) = (84) (89) (8+)4) 29 48+Y F 8) (91+8s 7 tgs) 20 2.t F( A) (5+ ( 25) o eoes( Dro thue isa ai of tox ua oles le -4+3 X Reao -3 usi antia acteon 20 -(-- (-4+3)) (R382) 20 + S-43) () -i) B ( A (a-- S+3) - #3AL2 A- 2 Axo B-4+3) 43+3)+cl9 20- B [a1-9-Ja - 20 - 1O B= 3)) + 8) aru-3 8E-4-3 3) Axo +Bxo + c(43 +3)-,-- C - - To C E 9+31l6 10+3) FR) sea +7) [s-(4i) (s--4-3) A F A 8+3-[8+y-3] 63) 9+31 (8+95) Gai(9+3) F() 1 t 3) (5t8+ 2 /88+12 12.2 FCRI= (at+93+৭ १ ৬a ond ১০ eng ৪ = -1+ 3) 3 -1 - ০25) - ৪2749 2৪ + 188 +12 f(৪) = ह+१) (४ + 5) ( 8 - ( 1 +-3 ) (8-(-3) -1-1 (2 92 +188+12)S2-O 21-218(-2) +12 = AC-2+5( -2) H) + Bxo + CXo AC3)(-) 2X4 18x2+12- AC 30) - 16= A- -I6/30 s1/8- 8-5 (-s-8x512 = B(-5+2) 252 + 189+12 28 +2 +1o) + (s42) (-2) +(Cs+D) 7stia) -8x5 L 구5 + + c3 1o cs +Df+ 30 s+lo D -40 20x40 28xy 2 O4XE - 8 7S +/4 x28D 3.12 28 + C Carin -40 andl 7S c= 016 g0 (2815) -8lis o/68 312 (s2+28t10) F(8)= (8+2) (8+5 168+312) O 3 3 + (3+5) .5 33 1

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