Mathematical Equations and Formulas, Study notes of Engineering Mathematics

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IO > —Cn agen) gu Pete Taking iG) on D'S: Jog Hye = Weg © 4 ee ley sagopa? = 9 giogat yleyy +t Joye = loc pase geod » Fj Wye = 9 LL aw = 6 oye SE so orgy th bgy ree Se thy Qe so 70 (1+ to94) + (y+ 19g ) % ’ my AGEL Tm’ fee a — Us JE Sim Ve sn 2 vy 1892 BSE @ prdially err e+ (OE 5 RB rarer) Sy - Pay ge Oe \+ loge) 22 =0 Lo ay PLOY ) 2. eh DY te Sep TERS ; \ OK . way | + hog ‘ Oe = + Bae 2) Sure) when Wyck BE Oy). 2 Gry) ro @ we . - Ce) — BY g (ge +99 - — “ qlege% -) 2 - caer) 2eve- enw peved - v Vv ® veripy Aha 8% 2 O84, oy de Gollorasy vas DADY VS Ow “J Findon * ‘Wor any ahry + by Sed So} y- we ar y+ 2nay+ bY Ge = pax + 2h4 25 7 AGO Su 2 oh oO, ¥y2 0 <@ oT 0 NM vyonu- paver oe & lig) = 28° we = ww?) PR i mnt, ze $ Caray) +p(t-ay) “porate tnd uv a4 Se, gr bh ty rae 2 = s(aray) apr 4)) 0: gx - 4) V pyea Ea + car ay) +e 9) Peo Prey * a cacay) 7 © Ory ax? 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BBS WY Sy AU Hen poe Sitlaly 28 92 OM oe, 1. a:% » 3s a homyp—neous Funchoo a degree mn in LEY They ow VV Me au ay = 7 . ~ 3 Bu -y SA, = MOU x oe +219 0) aqY swt U wa hemopeneowy “Aanchdo Hepes N in H+ f- By Ewerd theorem je have. au a4Hsnn —7O def © partielly wrt v oe pa »@® a By oa.) +) ay. wh: arf co paved ered v v ou au Ou 4 oo ien Se — @ m Syout 4 yr 5y ~ wv a Be > DYDR 4 A exdelds \ uo) gral Kpy O by % + 9 Js aans 4 Mw v OM aa ay at aD ABH AY andy TY 4 1 ye ” rv OW +1 = May t 15a Ou 4 you 7 fa « vg en [nae] "a + oy Sioy Te OK en ann oN ; 2 nu 77h For Anwar Engineering Academy | tytn) A nV) \ PROPRIETO! 2 9a) , 2 Rd a ks 0 Soir ea) A + tan’ 7 = U = Sv : acer ky 2g) FE gory) “> wis a hoenogereou functire 4, degret 0 19 14g By wuuts eat dhenxem ” 2 Quo nu- aa + 1 ou. Qu zg yued- +220 oo dG FON Le ® fro 2 ; \ (+) ou _) 9) + — * 1 —- = : ea dsb % * Vyven ea YY 3 2” Mv OW = ) - pe Paw ay - t QU AL — WW OH y Ty ae -K ug no as 2. 2 C v \ C >) " af) REP ermsonion tlt Ae 7 yy ts ye 4 a —— + y wow wer —_—— grat 4 Ww D4 bk dr > Sh ds 4 Ou ai BHT Hat EE = ah %, ot 2h Woes £49) and Ary are Funcom —> Udy thw. arse Sy oe. BE. Ok BE, 28 Su Su OOM yu TY 24 Fu a8 Be ae argi7 It ws Frd) , ahve 47 = Pon) Ahen BONCE ayer), wu a composite "“Sunchoo af, % br yn yu Ad du - Ok, db 4 Bh. Se OA TL at “Fy dk CN. tim Ak We are give mM op os Bunch) at x £ouy) =e yahenn We £OL,Y) valve U=C vs) cor @ > a Quid = aa ty ™~ at du ou A = om a ay on Fu - } Be $f Sa Moo — ph 27 ZO am oF fy a Cay: + mmo, Ne SOU 9) =O then by Co & we have a4, ES an 7 £ v cotf. again Loeye* a, acget ‘a Ld - ay >. Sia ty -ohity fay + dyy 4% anv ee ; 5° 4 4 For Anwar Ene ~ ering Acag Cede Probie ox ar Ks PROP —= RIE Problemy; - a 3 ab ® \ 2= ya fCa) , ue a> shoot) Qe Ro u aa + > \ se ze 9 xFly) Auto a2 . 0 \ Ou OK + Fa) 0 By v4 UW OF ms Fue + i 0) 4 fiat nyt i 0 Dn) 04 bp Digedtyy Aro, x wo a. ge? \ : ey J) D bY C NBR ES FCOA—b3), then move thet \ bie +a = Babe ° 4 su" 2 = ee can vy) —» O oe = oY Naa). 4 Flax—vy) eH +e > ab OEP ay by) og ok OL eres pt On® b ge = ab on econ 04) +4b% 2 Oat _ ) e = & seax-09) Cb) + Flar-by) eM oy) 0 +bYy a = abe $1Ca- BY) + ab EXT 4 (arx-by) 94) pt © mH a = = -ab et gh eax by) + 042% — 6) | hoes a az x ahd lace) eat nab OS 2G) + obs ! a 2 ab® | runt pvc. tu Det-2013° 2 ee Step B) Fox ane function FO 4) = ore > cay) oe (09) 6 _ cu) 219) i i vy £ at (C910) - bes show dnet a + DOH - ot Cove? 27 boa (HOS ry) ) then find Ob 5 22 132k i ] " BA “ ot: ° "vy, : : : ( rei ay . ; . 5 ae log CC r9G +4 ) en a , . | ef 2 KAI ko, %y BY v - ye, £Oy) = We BIA », acer) 2Gent 4 (KAIKY + OD Levens a7 zZ wy Fl Wh 4) a ome gen ens cPunchdo of degree 1 =o How 4% By Eater's Th cover? 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ON ak Yoo SY 2 @)) A” 2 4-) = 37° trons So by mimsoty W129 = 92 = Bye A: Examine Poy minimum and -~marimun veluey oh sinar 39) + Bio Ga+y), : gy let B= Sint sin + sia Cary), feta = CO & CSCHEY ) qa ty = Oy + OC) ye dg 2 —Sint- (4+ 1) 1 $e fay = - Oty) Liz dyy = — Siny- Sincaty ): Equi (=o =) Gr+ WAry)=0 0 ie =) ay + @Qaty) =o - 70 %-@ =) GAGS OA) — CoM CHWS = a = ob We od put » & C&A CIM = 0 yk = — Ga O81% =—-CoS* pron rofl) on 2 Wok ay 27 avr: i} ay 3 2. 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