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me For Book request and Compater Support Join Us Bookfair Inupsyfsrve.facebook.comvgroupsve-bookfais/ -nups/furwv.facsbook.comyjg.e Bookfair SolutlonTech Itpsv/wwrw.tacebook.comyJg.SolutionTech -nttpsy/wwrw.facebook.comgroups/g.solutiontech Calculus With Analytic Geometry Ayjawoas ondpeuy™" snypnoye) S.M. Yusuf Muhammad Amin Solutions Manual For CALCULUS WITH. ANALYTIC GEOMETRY By ABOARD OF EXPERIENCED PROFESSORS: MUMLEETAB EHANA Kabir Sireet, Urdu Bazi, Lalore, 54000 ‘CALCULUS ANALYTIC GEOMETRY EDITION wee 2042 PRICE. even Rs. 300 Comps tye MAQBODD GLAPHICS fof Pm, sh ott Pasko by Prinietas HMI KITAB KHANA AL-HUAZ PRINTERS. Kabir Sect Uxde Bay, Dass Market, one Tatore Ph 7383510) nD CONTENTS [REAL NOWBERS, OMITS AnD GONTINUTY, 2a ee Bxaele S112 2 Ensen Set U5 a DOTWEDERWATIVE 7 GENERAL THEORFUS, INDETERMINATE FORMS ‘Series SST Fert S0l43., os sn oro Spores So Exercion S0t 4.6. Spe Derwnne wreGRAL 9 Boreas S65 7 seni eae a ©_PLANE CURVES 1 ro Greta Sel 8. Eres Set BREE “a amine Bet ER on s 7 i zt) Bic $0 $616 Boe bas xaclse 5310.7 PLANE CURVES <I Tecree Set 77 Evo-see Sot 72 = Evarcisu Sal 73. = oo ae Enercee Set 76, Evorcte Sot 77 DIMENSIONS. Eroies Sott fm as Exerc s2 Set B20 von on Evorese tht Euresy Sut i eres ft 2 Exuresu SotB 1 eh Boorese Set 12 eae Byowze S0t8 ta SLFUNCTIONS OF SEVERAL VARIASLES Brees S000... = Fyerese Get 2 Bhoroes Seto 2 Excise Sut 4 ierane ott = Eroree $006 Exetese 5t9 7. z iorese set's Bhorose $200 verse Set9.10. 1 WULTIPLE ‘ever Exurceo 5 ‘Gree Set 3.2 Exorcio 821 3 Ciapcer) REAL NUMBERS, LIMITS AND CONTINUITY Exercise Set 1.1 (Page 17) Bab tice fo thre saint be Rauch hat eer Bytypathens, ct = @ lb to veh ies of 2 and apryng ah poy peat err arer errr) "Dee ate moran fon) 9~ shoe ed ek BSB AC C89 1 OC E: | Calo, ‘Deeley of Con) OI Cad Battier al oe 204 Ga) bab 40.00) Th, Colo ean amen 050-0 Sy, Jo 1) Real Numbers, tilts And Consioiy “ sa. . ” [lal Wlzle Slvr Teese 5%). pense © Tin model staan Welzow lial [ina] ciiwplin a=f<xce il Ror dees Mri, coc, prey a oa: e desing} and weed 2 = 25 05 Gabunsting Uiiram'3 wosave a or t= 2 Tagen Cae glen noqaniy on Fel cave ct Iau, sais e-8)=2 Tel f> Onda + R shor tht a<2 <a Sifts Ieal<a Sigpxee §<2<5+ 8Thesinentee cn te rien ES ‘o sod scot e @ Binnie oe rsgstioly Sez 8 ° Bons a ‘ornate at nbc eme ef or fora] < thy teen 1810) Gone, et fe] <8 Teaco 2.8 (0) we hays Sberoucf ws onfevcus) sda Give an example os ato rats) umber wh J bene Stentor donot haya eaeal alee ‘Canider the et of reiorl macbere dined by So (regeee2} ‘tne eupremum ofS 2 which at ania mor. Solve each of the ftlowing inequaliies (Plbetse = 10) et 51> |S 5) aowe:zd cquaticnic [2x +51 ~ 12-8] Tie scquiveot to welgea-ee a ‘Theme are the bsundy rumbero for che ea need. Toe Trrber Iie dst! fy the msn numbere to Tena ‘ A . é Eos ee Menate= b Bia > to Faw Rae k ato 2 ia ae Fema cete= 3+ 5)> [2-15] Fale Sel, (2) esau Ue pan ety ad EE Eg or ar ioceri wees ee renee Toetine fe -Sferin Gt8ed) We.) el Alerting Mele: aes Assented agains ===") be, S410" 262-1) fel fie d= Sen ond tan = te ee Ps ‘Thee burdary umber evs the nunber coe chown: Reson cuxte an: ES]. "Theoalusonsetie ‘aie > 461 = WS Blt bentt> Sou. ‘Tye moattesequatin i iets ied] =) oe axae—1) rs caveat re 0 Stes! Numbers, Limits And Continuity Pcie. @ PG-b=1 @ ete a= @ Pian Mand De Bnd = 3,0 ‘The bouncary marebera Sd: the mame ines how Region Avese ts | af” f4—a}>1 ‘im ada eee! (Sch a atnc RegaGinre fe 2il=1 tre Bicainssk eis toes 1 Peowiit ~ See fi Tisai 743 eres "These boudery aunbye did he muster Bins shown. pig ae Bok Teenurictndaquetinis "5? 2= 445 ae Bog-2c aster Bro ae HEED slit 05 i ‘Toe pint = = 0 1a fee teanday numer. Tee tetany ‘rer did the und ine dae ge Regina gin tats 50 doses tes O75 #2> 810. Uh Tego Petts = 18 Pen » pisces] 22 teaqarlent Fortheinaqaliy 2412 I, the swninad eon fort Peery GFR UL aretrebeondayaculuan fear #490 ‘Trem esa died tO 93 Retna tz inte et Tae (ere 0) afeseaa}~ Fm 0) U el is ae. ‘Thos do slusin xt FQ) | 9,07 UT Pideladoe "The gh ial i equivalent to . Scone rr a Os daca of th asco he benny ‘nunbors cede the mire nc sep 2 i FF = Fj sete Bene lan Gen be, 220, 6are Louder uns fr) ‘he Eeundary tambers vido the numer in inary eee ReginiA tee 2 true Bigham tnt x= 8 aa Roden Cts the MeogenD,sotx=3 ae Regn 6 teste = te By epi seay n2eegyt deymebne Gre cdiuiOsre mute oo shea v boats & 16. aera Do 4 te B10 ao. dsb arate basrary mambo fer nae the'beundary timer ow rer fine end check et Fedo whatier hedongn ta he piuen 5020 agin Ateatx = SBD U4 S120 Fale Reon Bstsoot lig ¢1+aiel-ss0 Te 1e-ya+a-w<. alm olka De 920 ‘te Rguminsoe 16 2164+D6-950 False Tie hun ol conse of Sogon and D. The boarder Toners ein ho gona sane ec iy cea (8 longo ne aon a To con Se abseson w xe2ex=5) = 211008) ‘Theva eter Cte and herve fares 9) for pro Fun fserain rolacte gen bebe +9502 Re = 20 ‘ind the vale at ls peo ‘Reccnrisrodueesitrovms tesrteen Thesfore fea pull er) fey Tena! > oe 80 oe Mes Oe 0 » ‘Tm noord uation of Ce Pode fab =O oF G10) G— = 0 wtichgvss ~My tthe boundary pens, Lal hea oi ‘Decambe ne and ek ie epee bang to un Regina. uere= 2 C10 CA <0 False Regan intendte U5 03-o9<0 Te Regma c.totesd0. G12 l ao) <0 Fale Miantvemkcin ot era otis 30 « <2) eh) eat Ny 8 Lists And Coit Ponetion f fron R to [a defined by thw given formule Duvarmine the domain of i tuncalan (Problems Fee) ied a v0on 3 purest vals Gfx exceeds 1, fe emo irs th dein ef dt ss his anaion's fol < oh wr I Hors) hoor inte wn = = a ant aon oor ea bie af we yl hn earapanding ra value ff Jan toe ora othe Gonetin © the eat statnnd naman expla oe res He fist bavatss nia Wea = 1 oe + = 2 Ako when sy 2f, tha veloc af fe) vm imegany 69. fa) wd Aine ng ylvoats hens | <2 <b hac, the denen ‘dno ak fnceon els su of al al aries sre whens 61,2, - (a) - Sa Ltrs en ¥ sites 2, vue of fe dex nat fray ve imei wins = «8 fe) Saco no -mrn end For ny ote, wt elie os, dena in ho of seal motes eee ele dom 9 here tesval 3,1) fav Vet sese “hs fants den hy two race 2 ll el sets Hens hednh tfiek. was The furan ott find whan ¢ = For ovis poate a he ceDaw f= LA a ‘Dn the crop of the fotowing funeens Uoblems 250) fe) =[el + lens] toeey eR Teicmernias sr0| a er il, weve the fol ving tate of salves aarti: ; Fae pea ee eens set eke joss fem eieeaenen SENG |i feUiteenmeetannitg PR] AE enSceees AY (eae esate fae SS z a teen Rise eiman seta jokey eet teers : TINBSS | ce Pee ee els Tiana ear JCh. 1] Real Numbers, Limits aml Cont enercise Set 1-1 SS valle ah 4l(Sax tooth fnetton) Oeinewd usec LF = Lol [2914 eine |e of fit Inersuses Duoetotly ane Ga enxa merely ory ¥ ‘Wea la near to srw sy) preitivg then) fee and =) Temeea numerioiy sa» incfenar so Uns) fa sar ta Da iomes very lege The graph as show figjaat 4 ae foraca a Wo rorste ae 2 Beep eed =Be~ chain, pees Ser Ere nae od @ ef allyl of te 9 Lines ration he. graph ot tater shore Ube fae > fap sexy > Be agai atc hth, 0 aceng te fag = Mei > 2 Soe felines fe Pe ioe be ‘Hence he On grasa che hem wm. paebere SL Rar -F Hoce 7 & eefined for et shee of ecert= = 2 Sead whea swe. ae ele the ‘pov i te fre AE lGiet) Heal Numbers, Limits Amc Continuity Yo ns eine, ans nanewny Atrmaa wd Tee vi kesteenstr opr tbe 2 ileso = Ho f0)=4 0 4 20 Tose cing) fon Fon + 0 shegraph the alge sey 1p td Silat, for» <8, 0 Tie tiers prea punter wb grate (hy ade th Stab this ot posse Gumi sebands +1>0 Stes od enc Tint <2<8 Sit Taratus = 3 tah che yeaph af the given equation. Ales denne ono tetne graph of fai (Ponblems 35 5 zi {Bu Tee cer ct ce shape pose The gph pases teu the (dain hey ereantramaeay. x acronis nite, We feck & Hers nig tes ‘rien ers i ae of =e i aE We geapa alas 7) = 0 Betas th Dad Fh tos aad oy ah rr ‘ty el ot sa tho given seta (Pruitiems St = 34) : fata Nenetas_} Sol Tingiameern fod 2S 45 28 Wicewriaa 9-2 Lygctore al ramter pros hen faces tary redler gest tn tert Lew ead ee ted Al 2.8 rosy bonds ofthe Bat nye Test ofall nomegtive riers f= Uand upset ac MM. Those l= eR a*—2--3.2 2) ‘Degebe sano {ip Ue erin line ts tha aap is a Feneom sa. a)=bi ‘ Sol. Hare wei ves sphles ben poof ‘Rewcabt lince Throusk reera ce Tei nat the raph of