Math formulas for class, Study notes of Matlab skills

Download Math formulas for class and more Study notes Matlab skills in PDF only on Docsity! ® Caton Clg Nese Ayal = eyed: Taftnite Teg, sil pe ¥ oh “Sada 2 Bal, thie fey Be 7 rs te ahe Vettes dive + if Tedoes vot ae tone [* stoda 4 JT fede a ony ral oe [ aa calles 3. pel k diverges 1€ pl — | Type ds Dscantiwens Tahar PTE SN Sicentinvon @ by f ne as ee + Comaryeat- Hg linac exits ee ee - Campeion Tesh 14 $c)® ghl2O fore v2. i Bw i esavergent, glu) pitbie oats ate if J glsd-d diveent, fla) 1 to i _~—__——— aSlvlde, tof te Morden oA sequence Sat ha has the Liat Ls Ve qeh fom Te L_ exits, ae atlerw ix. See ja» Sie ie - et Je Linct. on sal ed se we IE a eal gga ek eae “edgy dale 0, Bee ance te i acl bS i conhwes@ lL, le $4) 40) = =Lec kl, divergent othe ao Th dent ci _comarye tt Hf —s 7 ol Sepa is Iatoaing if ay, é gy) For all in, LE it inccouny soa iieuidatetet At eee = Sequedee hy boeaded from above tt MN exists such thet a, 24 A forall a ue | belwifa,2M foal azl oo = Every bounded man otenic sequence is conerentt aa TS et pte wi hf de Seeks “3 Seems of an infinite Sequence oreadded) wet stnesti sefless = a. one pou pS athe ath pottisl sumot a sere; TF th sequent, 45,3 converges bit, Sana taateal H tha the eres ; eo, Li convergent 3 ASS TE the sequtee id didegent series di Jey. a geometric series _ anh! is Convecyeth if lel <L Me sum tuclen lt lol, Sects sis dlgal “Ndecopig sams have. . é shes aa lig ters, sv. callapra tea feu term —_ = wash, EE He sorte & Bats canveryert, Then Nie aye Oi a rp ee aa Na ER ic ie ih 20, does ast necertant vy tran te sering i converge ® ast fir Diver gree: If ly ay dow get ext or #0, the series ty diver gat Te a, kb. ace cenvergett, thea: + § Cane «San » la,=b,) = Ea, ~Sby | ______ Keviss Bayt 3b, an 3- Th. he bg Test k Eshinates. of Sunt a a ~The Saya Vat: T4 4 is coahhvou, pasitve, deeeuing on Cl al Le .* "§Qis savurgt linge Day Is converge 7 ET tall fell the talej Fn contedly be decry : 3. 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Aiivdlebiead of by te check dd Ectindion Teor: = if shave conden. age, sti ied IR, lels~. sl Eb _ 7 se ie ite deceausny sis aoe J. bs — il “Ahk Comergine Lona aaetalgeat 1B Saas TE Ci eek a a Sa, ee ek 7 Lis abslubly cata if Blagl i camenyal_; code ally calvtyrl HE iia cotnyet but ah abrolely “Th fat Tests = TF fe [eh] Led ghen He see Jb bt compet | - ail # Dlor oo, then divergert ae [ Gatés test f4 Conclave ; pte “sie | ae he L>| gt seb sig ee : | -_—_ A Ne ei pndusbd Be et a ce whch 4.5- Linear Equation " = 7 Rect order Vicor dt ferential equations ace of farm. gy ae Qy) Pla) di ‘ . To salve, mul tly beth sides by ite grating factor (= é te 7 thea integrate bath sdey TLE there i « aefetciat_in feat of Si, divide_all_ by coet Muent 3.8 Exgonential the Beery eget ae dee Sik te yh | ce yet, ie Kt | The_ only role toh ft de = KE gee_expuerdl $44 yl Se yl0) e - | Redisactive Vecag.s BEE ke, whet ke is a acgetve confaut Sine te fo nde “mle en a, —— aS . € Cody. k= KUT-Tph 9g) Td Te 2 4b © ky po 70F He ferm__¥= $14), y=g (jb wanies and traces_ont_a pecan Inic_carve with prints_C1,y) = (gt) q ley) ~ Corns Dati by Paves. 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Tangt fake \ Linear Ayal. get Planes: equation of fengent pane te sueFoce t= HLmyy) QP (44, Yopty BL 2 - ee $, Cagle sede fy Gea ye dlgny.) pe ~ ie Apptoxinatin’ +L (4, Legefla)s 5 ale Van) f, (ably $l) } —e el nei oF 5QGb) near aigent place appcernction of f Oat A2= F(ab) tng $y (op) dy 46, dat 6,44, where Gh ey 2.0 a1 (Ox, ty)? C0) bie chage in $ ube $luy)> Coren yt4yl -Defearths doef, (a,y)du+ Jy Cuddy Votes dr > 02, di easiee to compute —— | 4 by. 46 =O ¢20 for pie Jaageats Jae om $- The us Chas de oo Rabal ; f dire! = i — ite z= Shy) kuz 9(t)_ 3 ye ht) at dy = : — Jat ExangleT nt 2= 5b, hg ahh GA tbe, ash 04 AMMighf TW Second derivatives =. é ve 7 ty we pluck _ a ; - & “Bey Sane fel Je i * “oe yg ee me A \ 32 yd - py fay) de, dud ee x =_— - t b yet ener f 2): dy ae be LG J a aes ae ‘fr atest, De eee ey cerns asf eS 1.6 Bintan Moab bls Gli Vedbe eet ee —, tia annie a —E ___ if irctional erin of fatto) ta te dinctin of a unit vestee = Sab is Difle,,q) 200 BD stage felaglar Sql» Nblaq)? 18l69¢ par Bs diet Vecue: 94 egl= Sy lay) Sql) = yeae pas ie Se he —® Maximum value_a€ 0 Sichenal dervafine DucfCa) is lewald hacer hea it_hou sane direct. 14a oe i Gig magi mve_fabe. of increase is length of padtert vector 5 : “Taga Pony te Level Surfaces :sequations E(t, ys, 2o) Carte) + Fyl te, Yer 2e) weal 4h Cay. 2G2.) 20 direc an of the norma line te fonyet. hae gnen Ly goaient vedne_' VE Cay Yap 20) a Sh et — (a lis. fa Pultyle se ty _Devble Ege our. ecg he Soe ~ Clk tebe in he Cops Coad wi oe ea h alba Sategesl of f over. ceclagle. 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