niei Jng *rdr io iil ddu trong thanh rd:.
Trang 1TRUdNG 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)= _ p" f +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) c) Tim phen _f{t) tich .= him fb)? f (t) theocdc him Heavfside H@, H(t - I), II(t - 2)
(rl6r)
J* g{^g tst