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un :0a+9
pu su pr{arvr tp
TRUdNG
Hd cni nrnqH {, KHOA vAr
rf
^^.'
pd rni r, m0l+.putloNc pnAp
ly
roAiv 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:
=singx
fnko
lfut : J* ;vx errt,
ail,=o
I
Cfiu 2: (4.0 Oi6m)
' a) cho m$t thanh kim roli m6ns
ja" pjrj c6 dQ dei thanh kh6ng chria
ngu6n nhi€t vi nhict do tr€n hai'aiu
thanh dusc gir Jo"iirn pnan
^f,,trong
uo niigt a6
.
u(x,t) hong thanh. niei Jng *rdr io",ii
iil -----i
ddu trong thanh rd:
**g"uufr:l;.lil;fflj3Ji -,*,
b) Ap dlrng vio
I U(0,0 = 0 vi U(2.t) = e-t ; Vt ) 0
I t1x,o;=z*-* lr,ri'
Cfiu_A: (Z.o tti6m-)
+.]_
f Q) '=. F(p)= _ f
Cho
p" +2p
! *l
a) Xiic dinh c6c cyc
diiim ctu hdm F(p)
=p'+2p
b) Tfnh Res[Ffu;,0] va
Res[rfuy,-zJ. ttr d6 suy
ra hdm g6c (t)
f
Ciu 4: (2.0 tti6p)
Cho hAm s6:
IO khi -oo
nguon tai.lieu . vn