a : :; 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; " ^ . : f{Qi dung o6 tni 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: b) V:Lr, voi )"ld hang so. 3 cf,u IV. clro.m6t hat trong gitlng th6 mdt chidu vu6ng g6c c6 thdnh cao v6 han c6 thd nang - '" V( [**,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. a) Hay tinh b6 chinh bAc rn6t cho ciic m0.c ndrrg luong. 0 a'2 o x b) \lt.:n* cAn tinh todrr. chiing to ring khi c6 tf"re nii6u loan thi ndng luo-ng trang rhzii co 6hn 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 tt4l*d 6o*-St . 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. a : :; 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. 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