ps-7 - PROBLEM TE(M Yuri" Hi If Yen Hzm m2 = HJHGIJHXIH...

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Unformatted text preview: PROBLEM TE: (M Yuri)" Hi?) If?! Yen Hzm m2) = HJHGIJHXIH) t (Htizmsznna W Hm because H12): ‘19:) Iii) Lb} 5m Mama): HdBHfia} ham“ “1“” a“! HztE} are scalar Funky-4.5. =7 VHF Hm HABETE) mama ml H212} is aPFlch Firs? {‘3 H.Ez)= 3(|+2€'+2'1) b3, using Hut {I'l’ter coeffi- Hbfl 1 H1022] H.132} :- lit- I+z"1+2'1j,L3 ( I ‘I' ilf EH2) '-‘ l-‘( I +2i' +3i2+2i$+E-4) (d) Conu¢r+ +0 da'flflme abuai-Iou (Ii-9;, E'HPA fee-FE) ylin = ":T( xl‘n‘l + Eda-1] +3x[fi*21 11-21540! + ““413 (e) Fiwi. «Hue: Folesé 2‘51““ bit Haiti, Hutu “Jackie“ Hutu. because, H.121: Hafiz}. PROBLEM 16 [more]: (I3) = I—(l +€Jw+€ Al: 11‘J='t|'/z'1 IH 2. LU)‘: 75'. PH: 1-75 = 393, “41:0 because {-kere is a Earp an +1“: uni} circle. Ari: $11!“) IHI=_%(I_2'}1'= y" :1 [We-5‘5” ‘1' "V; V: _ 1r PROBLEM L9: (11);. 4rPoin+ moving average [5 Yb“: '1 ( KE-fl + Kiln-I] + xfin-z'j +xtn-fl) HJEF Hz(£}= i + LE" +r'—z"1 +432 '5 H(2}=H(E)H;{z)= L(.~‘+z"+z'" +ii) (b) Fwd +4“: Polcs and am; an; HIE), 'Htfin ”doublr.“ H12“- 5wl+ak +0 PDSH-ive lap-Mira. a-F 3 341(2): M1— Nvmrahr Fania-r5- 4 2" (2+I‘ILE1-I- 1') 31901.5, =-' {Euitzfij )LE-j‘) 0.1.- 2“: =5} Elm-us. ad; 2:4: .j, +j Lt.) For Him . rate-iron: Htfi. 3b1=H ilfizcifi th’a )=-(I+€J'b Hi": 6‘16“.) \.____,_.--'v'—‘—"' 11.” Lil bu: rained +1: ‘1 Dirichlt’l' Fur-H- H(¢3:’) a. I sin {Ma} duh. “I 5"..(fi/1) _ €55.15 (mum 451H{:V1} Ah NED: dEHDMFHE'I'OP‘ @ I": «In: at": (A) 1| ”I“. n.- 331: g 2| 3:; é; Nnnnlllnd Frlqulnql [may Nbrmfllbud quu Enql [film PROBLEM T3 [more]: PROBLEM 116: (a) H(;} has 6 zeros '5: £- Pai-es. .24" Etc .714: 2:40":- m: 2: iii, tj, afietim L“) ymz gm “6:3 Hymn + mam-27. /' = Hm PROBLEM 3.5: yafi = ‘3 )vEn-F) - L3,)'[.“‘2] - KM Ytz} = '12”th -%_i1‘flz) -F.fa} (h '12? +ga“)Yce)= #312) Hie}: ‘91) ‘4 III} Piaf-P31“ Chan-5e. +0: Pusi’rwe Powers at: 2: NHL“. Ewing fellas, ma Earns. Ei- um= ' L 2 Edi—13+} Huwrabr ii 2:; 5:: NE —_+ .34” Ravi +NG Ema od‘ E‘d- ANGLE '- 64 rt- tuza rad-s yifih L1? [HI-1'1 ’13 find] «En-z] '1. 1-4;?! ”ii-z Ez_JiE+Ji Saw: fates "I? we: him; If!“ HIE} me; 391' HIE‘3-rjé'g, in m: z-vm haw. 2. ems ad: 32m y'i'fl: "'iyinrl'l *‘g yEMZ] - firm-4] -z“" --I HIE): ______._._ .—. l-az*'+éa-=- awn—<32 + a) NO“ H{E}"" I/z‘" as aqao, So we have 4 E34135 at i=0“ we have. 4- foles- The '5le {mm as above, Flu: 2 more Poles at gun, PROBLEM B.1l]: fl“ = ‘éyIn-fl um 1‘” Yam: -—’,:E""fiz} +3..” (Hi—fitnj‘flzjaxm __~> H(2)=‘fl§2: . Ia} Hie" E Fina]. Poles é. flares ahanfie +u POM-“Wi- PawEfi a§ E. E 12241:: ad: E10 Hill‘i =7. Zi-‘n‘z on: Ffik a-f Et'vz, U?) The. imFu'lsa resfwse a? Hus 91154-6.» 1‘5 “Hm. Muse fiamstrm :4 HR}: HLE‘} = I __-_.-... "RD”: (Psi)nu|;n1 I ‘45 11." 1‘0 361: Hall poi-Furl“ U‘I'En xfifl: Lb"; {.3me} kgtn-l'] we swarfwi-Hcm. yin}: hm, + Jilin-fl +£[n-2’j = (mm + (— min- r: + (%1“"uL»-21 1:91" “:0, vfofllgfi-O‘I'Dil For n=I, y[fi=-'i+l+ca= 'fz 5* “n. yt»1={-a)“+t-i)“"+(-'—z = (“Ho-2+4) = 3(a)" Ermulm PD? 711‘]: n-Z yf-1= Km #1 «Stu-rs + 303M941 PROBLEM 3.13: 5'." Fle-fluq 1145 “EFFS Pam. THE limp, Eq~_ Q1} Ha,” —o.-3+3" [—0.82% (Li FbLE Q a-mg he" @ 1‘ 23.3 =L2: [£31 H{cé"‘)=ma))z £1"? = ‘01? +€4~d : ‘l — 0,8,554“ {A} 1:409”an H{ei"=)H*1ei‘°) “Hm-Mm: = (-M +635) {—0.3 + a?) (ho-221"» — 0.3 am = r34 +_I ‘ 0.3533 I + 4.4 — 51.135114”- __¢,.<3€+‘$ .4 + #G-EE J” : 1'64 — I-éaaslfi H EM.) 1: lr¢4-].$mafib |( 1 ‘L (E?) nffl: 4 + c¢5{$n) -— 3m(2—;En) a" .o It . \ cl ($33"?! Mead HH‘) Need ”(9%) Nee H ) aim. IHteiflJI=1 rm- «II Hey-u “1:, m Phase fif- Hus: can-sine +21%: will change. Ale-a, Hm: Phi-5f. a} fill-a he Earn; '5:- . "'9‘; yi‘n’]: 4- + a5(En+LH(e’m))F3¢o5(I-En +£Hie‘ )) LHIEMF -t4q.=n’= FIEJII'J'raJs = 4.1m— riJ-s 5- H (125%) = “HIM." -— {5.013 rack = wo.‘!5’?r rad, ...
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