Hdy tinh cdrc giao hoiirr tri Iii.rt] Cflu II.. MQt hat trong h6 th6 cao vd han bd rOng a co trang thai du'o.. c rnJ ta Uing hdrl song dd chuAn h6a tai thoi diiim t:0.. Tirn: a toa d6 t
Trang 1:
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TRUON(i DH SU'PHAtVt I'p t-tCM
KHOA yAr Lt EBI
Li$
DB THr HBT HQC PHAN CO r{qc LU'ONG rU.NAnn HQC 200e_2010
L6? lf 3 he CN (Thoi gian lnnr bdi tZO ptrr:rt khdrrg f.C tf'roi glon;il dd; "
CiuI.a)Cho A vd B ldc6ctoiintu'Hernrite.Cactoiin ti()+nl,t)-Sl, )B co Hermiteklr6ng/
b) Chotoan tir i"= irt - 2by Hdy tinh cdrc giao hoiirr tri
Iii.rt]
Cflu II MQt hat trong h6 th6 cao vd han bd rOng a co trang thai du'o c rnJ ta Uing hdrl song dd chuAn
h6a tai thoi diiim t:0 .
.i
; ry(x,0) = I
Trong do A la hQ s6 chudn hoa Tirn:
a) toa d6 trung binh crla:hat;
- CqNG HOA XA HOI CHU NGHiA VIET NANI
Edc lip - Tg'do - [I4nh phtc
L,J)
Utr)
b) cric giri tri ndng luo-rrg kha di cira hat vd ndng Iuo.ng trung binh cua hat;
c) hdrn s6ng cria hat tai tho.i di€rn t
Cho hdm s6ng vd nlng luo-ng hat trong h5 th6: t//,,(x)=
kh5i luorrg hat.
fi nnx
V.r u
t.
^ zt rrt n'
L,,=-T -1- voi rn li
'tl|il
t"/) cnu' lll Cho mdt hat chuy€n d-6ng trong truo'ng th6 co th6 ndng V Dai luong ndo trong s6 hai dai
[1ttng.1ang luo-ng E vd hinh chi6u rnd men cl6ng luo-ng L, trcn truc ox la tah phan cil-Lry6, a.o"g. Cho hi€t:
a) V : l/1cosrr/, voi Ve vd ro ld hang s6, t la tlroi gian:
cf,u IV clro.m6t hat trong gitlng th6 mdt chidu vu6ng g6c c6 thdnh cao v6 han
[**,r(0,xto
^l
V{,.x)= lb, 0 <x< al2, (b>0)
I
lo, al2<-r<a.
Trongd6 coi V'1*1=6, 0 <x < al2litthti nhi6u loan
b)
se tang
cho hdrn song vd nirng lr"rong mOt hat trohg gitlng the v/ll)) (r) =
tEri ,'rT 6,,,0, =
b,t)
,2ri2,r2
/.n1(t (IX
Chti j,: khAng dup'c sri.dgng titi IiAu