u) :0a+9 un\ TRUdNG pu su pr{arvr tp Hd cni nrnqH {, KHOA vAr rf ^^.' pd rni r, m0l+.putloNc pnAp roAiv ly o+_ o E, (.Lhd.i gian; 120 pht)t) CAu l: (2.0di6rn) Tirn li d'Q u(x,/) c'a d6y ddi,v6 hpn dao d.ng rg do vdi clidu kign: fnko =singx lfut : J* ;vx errt, I ail,=o Cfiu 2: (4.0 Oi6m) ' a) cho m$t thanh kim roli m6ns ja" pjrj c6 dQ dei ^f,,trong thanh kh6ng chria ngu6n nhi€t vi nhict do tr€n hai'aiu ",ii thanh dusc gir Jo"iirn pnan uo niigt a6 u(x,t) hong thanh. niei Jng *rdr io iil ddu trong thanh rd: . i b) Ap dlrng vio **g"uufr:l;.lil;fflj3Ji -,*, I U(0,0 = 0 vi U(2.t) = e-t ; Vt ) 0 I t1x,o;=z*-* lr,ri' Cfiu_A: (Z.o tti6m-) Cho f Q) '=. F(p)= _ f +.]_ p" +2p a) Xiic dinh c6c cyc diiim ctu hdm F(p) = ! *l p'+2p b) Tfnh Res[Ffu;,0] va Ciu 4: (2.0 tti6p) Cho hAm s6: Res[rfuy,-zJ. ttr d6 suy ra hdm g6c f (t) IO khi -oo</<0 -f(t)=] r+t khio<t<t lt, khi tst<2 [ 0 khi t>2 a) V€ od ttri ooa f(t). 'b) phen tich him f (t) theocdc him Heavfside H@, H(t - I), II(t - 2). c) Tim _f{t) .=. fb)?. (rl6r) J* g{^g tst . **g"uufr:l;.lil;fflj3Ji -, *, I U(0,0 = 0 vi U (2. t) = e-t ; Vt ) 0 I t1x,o;=z *-* lr,ri' Cfiu_A: (Z.o tti6m-) Cho f Q) '=. F(p)= _ f +.]_ p" +2p a) Xiic dinh c6c. *l p'+2p b) Tfnh Res[Ffu;,0] va Ciu 4: (2. 0 tti6p) Cho hAm s6: Res[rfuy,-zJ. ttr d6 suy ra hdm g6c f (t) IO khi -oo</<0 -f(t)=] r+t khio<t<t lt, khi tst< ;2 [. khio<t<t lt, khi tst< ;2 [ 0 khi t> ;2 a) V€ od ttri ooa f(t). 'b) phen tich him f (t) theocdc him Heavfside H@, H(t - I), II(t - 2) . c) Tim _f{t) .=. fb)?. (rl6r) J*