math119lecnotes-set004

math119lecnotes-set004 - I . I 4.2:, g 4 .8 - fFmei/maibon...

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Unformatted text preview: I . I 4.2:, g 4 .8 - fFmei/maibon 0F Dark/drives: FinUce. Digerence; . .Mokcqaxu‘m, Om 01L M mod: mkm Mfoed-s OF m Mmkwes 0.5: a. {A Weir W Lu DifWiafl Equakixms (Dials). ms happens) mth J WWW a. {pkfisicafl Phenomenon ,or Ha, hemloc- :24 q. (om) [mafia 01C WW.TIU. mm (A Sin/.1318. hprCeS 0M. represe’n‘ced by MW ,cuucl. Has; *7qu law: meta); +kese. Mfm ’co MT rates of. WCB.9.)MWIWS)- TM. Tesuvcbbb ’14-. ‘us 044% impossalole.) Mama, ‘to SolVe, a D6 L3 Maogfical mH/xaorXs (54)», b3 exact (formic-Ls) - For inskamce, Hue, Elicka aquattovz (4.22) ~36;— = W3" '9‘“ '3! var—445.00 ) aflckouak. Simple—MW, Cawuth be. SolvedL ‘w. dosed. form (Liomzillx)l84|). --A~wL 06% when Ms cow. be, clam) 4M2. 4694.91: may be not W.Rr zxmlal-e. , ‘HAQ. $oluHon a; Hue. DE “'34 '15 «34w» by F 7' fig-H \[f' .4 V -1 _ _ é; £w(:1:55+')+7r[m (55+9+tO/w(5(y 1).)-x-rmst) MM is v0.5 {ups-4&1ch —-e,sioeu‘,aflj 41!; we W 9 a» am, expliod: as: )6. HW)WXEM6 ch‘molA m Jesse/weal. (lb7é—I75‘q) NM Mom for his du’alled Shdfl 9+ 'Hu. DE Sig-c =a(x)+ 19(2) 3 “603’; o; “kick (4.21) is at ' Special Cow-e - . ImuL’cWeSZd ) A}; is GEN-LCM §rom Ht; out +9.2, dmhwddve as; a Wang: , 43 = 52% Rim-fix) 01" keo l1, ) Z LE1 Hume am afivmxhnwtém to {—I Cat/k. be ob’cal/ned, by Stimij I madam? Hm QMMt wiktwwt What). a Hue. (my: ,w.‘ if. av, fore-k) -ffx) ‘ 4x 1‘, ' TM proHe/nv :4) M we otow’é WW We flat-e 0f +5.2. WT mach. Cu. {his W)mr 'vx U: onm how "Co gai- a. bath wa‘akbm. prw) we saw. wad: M aka“. E3 Tag/Burk Thaw-em, , (4-20) ~(4JLI) . W62 .TaJu. 3cm m=1 , moi Id.- l§“cx)ls§7 Md. (pm—J»)- «me we 3,0,1: 1 {UM-L.) = flxo) + {’(xuflv 1— Ribs-9L») , «r eke. k - o IFCxo‘i": = _FICXO)+_;: E|(x°+‘\,) ._ W5, 5-} Wt wwxmaJ-g ‘an. Marti-Eve. L3 ‘HM. form fiflm (4-23) {'69) a: ¥(r.+h)—Hx.> 4 J h, , ., A” “Mr elm/We 4W arreaéw- ‘wa. (Me. (4.20) (4.13’) es = it‘v’fg» M’sina Mfg/v bowel. o4: .f"> I}: a. fixed. WW, WWW Hue Mrs durum/5e; CU) hm“;- . Now SwHyose. we ma. a, Lake/‘- Wxthim. 5% we, um TW'; Mfm (our... WMrseU: {09%) = 3C(x.)+7C’CX.)k +Ji}"(4)13 + 12,099 ) 7c (xi—k) = 40°) — 36,09) k + Ji P60) [1'2 + 192 (x; k) ) and, SubHad-fima, Jam by W) HmM-Wo-M = 2?ka + WW) - (32004»); 5 {'kezrefov‘e , ‘ 4.23 I _ -. 360(0) = *Tfiw‘wml “"0 M + ifizosw-Kzé’s-M] 3 Md. we can, .e/ofrl'xmoie, Ha. War 0/: MW) manual?! x°+k (12,0ng = {L} (my—e? {"20an < K2. L? z: \ ~— xv 253’ lR2(*o'|"’)] = ~$ -' K1 '13 213 MW K2 (0 m We» bomoL on 53%) I)» [xnxoihj . 9,10me. K=1<_2._) mew C (4 1*) F09) ~ 14C><a+k)—f(’$-lv) if? . N rem 2‘” ¥omwla (with a» flavor (4-24’) 6 5 K15“ mam; 00W,'m belrte/r M (4.23) We M 0W0? dammsw wi—Hx. k. AEXWH£.A$ aw o9 Wflhmg 03C 5am +wo me farm aims»: J Consider 'sz 0% {300:8} out: 7Co=1, whose Wax/(.- ch-u. 4).. 9% com {10.) -.= e o Now a»... q, remMJalj swam Vague fer k_Safl k=3lpm l.l2$' (4-23) => gt») 4: e --8 a, 23%- 0.125 ) 0.975 .lZS' (4,24) 2;, )do) z 2‘ —e 22.7.25. 9-25‘0 . Th MT in HQ. Ha. Frs’o Is 0.; HM. emu/r -0-I77)bu.17 m “w mot, Leis 9M3 -7.1xzo‘3)9u£.be a. ougml A gm - Imam“ be Momma 30mm 0; DE's. Li \4.2q Pfoblem 85‘ : Given an arbikavy wfimfid equal—{ml Hm). +o~r it's Lnéegr‘al a C1092. afiroximflon. L. Euler , IMHMOM; Calculi Inkeadis §éso , 1788. Coastal" am ankle-may DE)~¢E.UA a» 3mm leaafl. comm (16), {of a, 3 : xI—Maoc) )andanarb. Hwy): (4-25) %=¥<*29) ; amm- Us‘ Rae. {Wm at. {mug Mme“ , m mi, We % a: géx+k>E4éCU __. 5209300) , Rm from M‘” -Hnal- Ms is an Ind-ta! Value Problem (IVP) 1.. Define a gamma of x Values (called. igifi) acceding 5° xw=x°+nk ) m=0,1,2,... when k. in, a [manual-er caued. kgm $125 , 2. Oomph Ami-ding +0 ‘Hne {karat-ton §omwla (4‘26) “Ann = 43m". k ‘FO‘M‘JU A Exampli. fi'nd, an approximate Soiuliou {'0 H16 IVP / 05x5, =—3+sfm.x ,‘ 43(9)=43=l 5 o SoVn , Yoga, My“, CM, Hm, 3E come: {kn}: Ms problem. can, be Wot. “whey. 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math119lecnotes-set004 - I . I 4.2:, g 4 .8 - fFmei/maibon...

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