Introductory & Intermediate Algebra for College Students : Student Solutions Manual PDF
Preview Introductory & Intermediate Algebra for College Students : Student Solutions Manual
STUDENSTO LUTIONS MANUAL KEVINB ODDEN RANDY GALLAHER LEWIASN DC LARCKO MMUNICTOYL LEGE ��e6ra 8 & �ri8onometry MICHAESLU LLIVAN PEARSON ---- Prentice Hall UppSeard RdilveNe Jr0 7,4 58 ViceP resideanntdE ditorDiiarle ctMoart,h ematicCsh:r istHionaeg SenioErd itoArd:a m Jaworski Editorial AssistSaunptpllPermiennEttd si toCrh:r istWihniet lock SenioMra naginEgd itoLri:n daB ehrens AssistaMnatn aginEgd itoLry:n nS avinWoe ndel ProductiEodni torA:s hleMy. Booth SupplemeCnotv erM anagerP:a ulG ourhan SupplemeCnotv erD esigneVri:c torCioal otta ManufacturBiunyge rI:l enKea hn AssociaDtier ectoofrO peratioAnlse xiHse ydt-Long © 2008P earsoEnd ucatioInn,c . PEARSON ----- PearsoPnr entiHcael l PrenticeP earsoEnd ucatiIonn,c . Hall UpperS addlRei verN,J 0 7458 Allr ightrse serveNdo. p arotf t hibso okm ay ber eproducienda nyf ormo rb y anym eansw,i thoupte rmissiionn writifnrgo mt hep ublisher. PearsoPnr entiHcael l™i sa trademaorfkP earsoEnd ucatiIonnc,. Thea uthoarn dp ublishoefrt hibso okh aveu sedt heibre setf foritnps r eparitnhgib so okT.h esee fforitnsc lutdhee developmenrte,s earcahn,d t estionfgt het heoriaensd p rogramtso d etermitnhee ierff ectiveneTshsea. uthoarn d publisher nmoa kwea rrantoyfa nyk inde,x pressoerdi mpliewdi,t hr egartdot hesper ogramosrt hed ocumentation containiendt hibso ok.T he authoarn dp ublishsehra lnlo tb el iabilnea nye venfto ri ncidenotrac lo nsequential damageisn c onnectiwoint ho,r a risionugto f,t hef urnishipnegr,f ormanocreu ,s eo ft hesper ograms. Thisw orki sp rotectbeydU niteSdt atecsop yriglhatw sa ndi sp rovidseodl elfyo rt eachicnogu rseasn da ssessing studelnet arninDgi.ss eminatoirso anl oef a nyp arotf t hiwso rk( includoinnt gh eW orldW ideW eb)w ildle stroy thei ntegroiftt yh ew orka ndi sn otp ermittTehde.w orka ndm ateriaflrso mi ts houlnde vebre m adea vailable excepbty instructuosrisnt gh ea ccompanyitnegx itn t heicrl asseAsl.lr ecipieonftt sh iwso rka ree xpectteod abideb y thesree strictainodnt soh onort hei ntendpeedd agogipcuarlp oseasn dt hen eedso fo theirn structors who reloyn t hesmea terials. Printiend tUhnei teSdt ateosfA merica 10 9 8 7 6 5 4 3 2 ISB1N3 : 978-0-13-232124-2 ISB1N0 : 0-13-232124-6 PearsoEnd ucatiLotnd .L,o ndon PearsoEnd ucatiAouns traPlitayL .t d.S,y dney PearsoEnd ucatiSoinn gapoPrtee,L. t d. PearsoEnd ucatiNoonr tAhs iaL td.H,o ngK ong PearsoEnd ucatiCoann adaI,n c.T,o ronto PearsoEnd ucacid6enM exicoS,. A.d eC .V. PearsoEnd ucation-JapTaonk,y o PearsoEnd ucatiMoanl aysiPat,e L.t d. TabloefC ontents Preface ChapteRr Review R.l ReaNlu mbe.r.s. ...................................1. ........................................................................................ R.2A lgebrEas senti...a..l..s.. .............................................................................................................. 3. R.3G eomeEtsrsye n.t.i.a.l.s. .............................6. ................................................................................. R.4 Poly.n.o.m.i.a.l.s. ...............................8. .......................................................................................... R.5F actoProilnygn om.ials. .. .. .... .. . .. . ...............................................................................................I . I R.6 Synthetic ..D.i.v.i.s.i.o.n. .........................1.4. ................................................................................. R.7R atioenxaplr es.s.i.o.n.s. .:.. .............................. ..........................1..5.. ............................................. R.8n tRho otRsa;t ional E.x.p.o.n.e.n.t.s. ..........................................2.0. .............................................. ChapRteerv i.e.w. .......................................................................2..4.. ....................................................... ChaptTeesr.t . ...............................................................................2..8.. ..................................................... Chapte1r Equatioannsd I nequalities 1.1L ineEaqru at.i.o.n.s. ...............................3.0. ................................................................................... 1.2Q uadrEaqtuiact .i.o.n.s. ..............................................3..9.. ............................................................. 1.3C omplNeuxm beQrusa;d rEaqtuiact iinot nhCseo mplNeuxm beSry st.e.m. .......4.8. ................... 1.4R adiEcqaula tiEoqnusa;t Qiuoandsr iant iFco Framc;t orEaqbulaet. i.o.n.s. ......5.0. ...................... 1.5S olving In.e.q.u.a.l.i.t.i.e.s. .......................................5..9.. .............................................................. 1.6 EquatainoIdnn se quaIlnivtoileAvsbi snogl Vuatle.u .e. ................6.5. ........................................... 1.7 ProblSeoml viInngt:e rMeisxtt,uU rnei,f oMromt iaonnCd,o nstRaantJteo Abp plica.t.6i.9o. n.s ChaptReerv i.e.w. ........................................................7..3.. ...................................................................... ChaptTeers. t. ............................................................................8..0.. ........................................................ Chapte2r Graphs 2.1T heD istaanncMdei dpoFionrtm u.l.a.s. .......................8.2. ............................................................ 2.2G rapohfEs q uatioTnwsoV airni abIlnetse;r cSeypmtmse;t. r.y. ...................8..7.. ........................ 2.3 Lines 93 ........................................................................................................................................... 2.4C irc.l.e.s. ....................................................1..0..1.. ................................................................... ...... 2.5 Varia.t.i.o.n. .....................................................1.0.6. ...................................................................... ChaptReerv i.e.w. ....................................................................1..0..8.. ...................................................... ChaptTeers. t. ............................................................................1..1 ..4.. .................................................... CumulaRteivvie.e .w. .............................................................1..1..6.. ....................................................... Chapte3r Functioannsd T heiGrr aphs 3.1F unct.i.o.n.s. ....................................................1..1..8.. .................................................................... 3.2T heG rapohfa F unct.i.o.n. ................................................1..2..5.. ................................................. 3.3 ProperotfFi uensc t.i.o.n.s. ...........................................1..2..9.. ....................................................... 3.4L ibroafrF yu nctiPoinesc;e wiseF-udnecfitn.ie.od.n .s. ...............1.3.6. .......................................... 3.5G raphTiencgh niqTruaenss:f or.m.a.t.i.o.n.s. ................................1..4..2.. ..................................... 3.6M athemaMtoidcealBlsu :i ldFiunngc t.i.o.n.s. .................................1..5..0.. ................................... Chapter .R.e.v.i.e.w. ..................................................................1..5..3.. .................................................... ChapTteesr.t . ............................................................................1..5..9.. .................................................... CumulaRteivvie.e .w. .................................................................1..6..3.. ................................................... © 200P8e arsEodnu catiIonncU,.p ,p eSra ddRliev eNrJ,. Al rli ghrtess ervTehdim.sa teriispa rlo tecutneddea rl clo pyrilgahwtas s t hecyu rrently exisNto.p ortiooftn h imsa termiaaylb er eproduicnea dn,yf oromr b ya nym eansw,i thopuetr missiinwo rni tifnrgo tmh peu blisher. Chapte4r Lineaarn dQ uadratFiucn ctions 4.1L ineFaurn ctainoTdnh se Pirro perti.es . . 165 ................................................................................... 4.2B uilding LinefarroD mFa ut.na.c .t.i.o.n..s.. ................................1.7.0. .......................................... 4.3L ineaanrQd u adratic F.u.nction.s . . . 172 .......................................................................................... 4.4P roperotfQ iueasd ratic .F.u.n.c.t.i.o.n..s.. ...................................1.8.2. .......................................... 4.5 InequaIlnivtoileQvsui andgr Fautnicct ions . . 185 ............................................................................ ChaptReerv iew . ... . . . . 195 ................................... ........................................................................................ ChaptTeers t 201 ........................................................................................................................................ CumulaRteivviee w .............................:.. ................2..0..3.. ................................. ...................................... Chapte5r PolynomiaanldR ationFauln ctions 5.1P olynoFmuinaclt ainoMdno sd el.s . ....................2.0.5. ........................................... .......................: 5.2P roperotfR iaetsi onal Functi.ons . 215 ............................................................................................. 5.3 TheG rapohfa R atioFnuanlc ti.o.n. . . 219 ....................................................................................... 5.4 PolynoamnidRa alt ioInnaelq ual.ities . . . . . 242 ................................................................................. 5.5T heR eaZle roofsa P olynoFmuinaclt ion . . . . 249 ............................................................................ 5.6C omplZeexr oFsu;n dameTnhteaolro efAm l ge.bra. . 270 .............................................................. ChaptReerv iew . .. :. ...................2.7.3. ............................................ ............................................................ ChaptTeers t . . .. . . . . . 289 ............................................................................................................................... CumulaRteivviee w . . . . . .. . 293 ..................................................................................................................... Chapte6r ExponentainadlL ogarithmFiucn ctions 6.1C omposFiutnec t.i.o.n.s. .................................................2..9..6.. .................................................... 6.2O ne-toF-uOnncet iIonnvseF;ru snec tion.s . ..... . .303 ...................... ................................................. 6.3 ExponeFnutnicatl.i .ons . . . . . . 313 ...................................................................................................... 6.4 LogaritFhumnicct. i.o.n.s. ................................................3..2..1.. ................................................... 6.5P roperotfLi oegsa ri.t.h.m.s. ................................................3..2..9.. ............................................... 6.6 LogaritahnmEdix cp oneEnqtuiaatli ons . ... . . 333 ...................................................... ....................... 6.7 CompouInndt er.est . . .. .. . 341 ............................................................................................................ 6.8 ExponeGnrtoiwaatlnh dD ecaMyo delNse;w toLna'ws; Logistic Growth andD ecaMyo dels . . . . . 345 ............................................................................................................... 6.9B uildEixnpgo nenLtoigaalr,i tahnmLdio cg,i sMtoidcef lorsm D at.a. ..........3.4.8. ........................ Chapter Review . . . .. 351 .............................................................................................................................. ChaptTeesrt. . . . 361 .................................................................................................................................... Cumulative Rev.iew .. . . . . 364 ...................................................................................................................... Chapte7r TrigonometFruincc tions 7.1A nglaensTd h eMiera su.re . . .. . . 367 ................................................................................................. 7.2R igThrti anTgrlieg onomet.ry . . . . 371 ............................................................................................... 7.3 ComputtihnVega luoefTs r igonoFmuetnrcitocif oA ncsu tAen gles . . .3 78 ................................... 7.4 TrigonomFeutnrcitocif oG nesn eArnagll .e.s. ....................3.8.4. .................................................. 7.5U niCti rcAlpep roach: Porfto hpTeer rigtoineosFm eutnrcitci.. ons . 391 ........................................ 7.6G rapohfts h Sei naen Cdo siFnuen ctions. .. . ... . . 394 ........................................................................ 7.7G rapohfts h Tea ngeCnott,a ngCeonste,c aanntdS, e caFnutn ct.ions. .. .404 ......................... .......... 7.8P hasSeh iSfti;n usoCiudravFlei tting .. . . . 407 .................................................................................. ChapRteevri ew . . . . 413 ............................................................................................................................... ChaptTeers. t . . . . . . ... 421 .............................................................................................................................. CumulaRteivviee w . . . . . . 425 ....................................................................................................................... © 200P8e arsEodnu catiIonncU,.p ,p eSra ddlRei veNrJ,. A llr ighrtess ervTehdim.sa teriispa rlo tecutneddea rl clo pyrilgahwtas s t hecyu rrently exisNto. p ortioonft himsa termiaaylb er eproduicnea dn,yf oromr b ya nym eansw,i thopuetr missiinwo rni tifnrgo tmh epu blisher. Chapte8r AnalytTirci gonometry 8.1T heI nveSrisneCe o,s ianneTd,a ngent Fu.nctions. .428 ................................................................. 8.2T heI nveTrrsieg onomFeutnrcit(cic oonnst inued) 433 ................................................................... 8.3 TrigonomIedternitci ties ... 439 ........................................................................................................ 8.4 Suma nDdi fefrenFcoer mulas 445 .................................................................................................. 8.5 Double-aAnnHdga llef -AFnogrlmeu las . 455 ................................................................................. 8.6 Product-atnodS- uSmu-mt o-PFroordmuuclta s . . 466 ...................................................................... 8.7T rigonoEmeqturaitci ons 469 I.. ...................................................................................................... 8.8T rigonomEeqturaitci ons . 476 11....... ............................................................................................... ChapRteevri ew 481 ................................................................................................................................... ChaptTeers t 494 ........................................................................................................................................ CumulaRteivviee w . . . . 499 ......................................................................................................................... Chapte9r ApplicatioofTn rsi gonometFruincc tions 9.1 ApplicationsR iIgTnhrvtio alnvgilnegs . . . . 503 ................................................................................ 9.2 TheL awo fS ines . . . .... . 506 .............................................................................................................. 9.3T heL awo fC osine.s . .. . . . . . 513 ......................................................................................................... 9.4A reoafa T riangle ... .. . .. .. 517 ......................................... .................................................................. 9.5 Simple HarmonDiacm pMeModot tiiooCnno;;m binWianvge s.. . . .. 521 ....................................... ChaptReevri ew . .. . . . .. .. .. .. ..5.24 ......................................... ...................................................................... ... ChapTteers t .... . . . . . . 529 .......... .... ............................................................................................................... . CumulaRteivviee. w . .. . . .. 532 ..................................................................................................................... Chapte1r0 PolaCro ordinatVeesc;t ors 10.P1o lCaoro rdinates . . . 535 ................................................................................................................... 10.2P olar EqaunadGtr iaopnhss . 538 ..................................................................................................... 10.3T heC omplex Plane;T hDeeoMroeimv re's 550 .............................................................................. 10.4V ectors 555 ...................................................................................................................................... 10.T5h eD otP roduct. 558 ....................................................................................................................... ChapRteevri ew . . . 562 ................................................................................................................................ ChaptTeers t. . 569 ...................................................................................................................................... CumulaRteivviee w 572 ............................................................................................................................. Chapte1r1 AnalytGieco metry 11.T2h eP arabola . 574 ............................................................................................................................ 11.3T heE llip.se .. . . 581 ........................................................................................................................... 11.T4h eH yperbo.la . . .. .. .. ... ... .589 .................................... ...................................... ............ ........ . ........... 11.5R otatoifAo xne sG;e nerFaorlom f a C onic . . . .. ... . 597 .......................................................... ...... .... 11.6P olEaqru atoifoC nosn ic.s.. .. .. . .. . 603 ..... ......................................................................................... 117. PlaCnuer vaensdP arameEtqruiact ions .. ..... .. 606 ..................................... . . ................................... ChaptReerv iew . .. . . .. ... .612 ........................................................................................................ ................ ChaptTeers. t. . ... .. . .. . .. 622 . .......... .............................................................................................................. . CumulaRteivviee w . . . . .. 626 ....................................................................................................................... © 200P8e arsEodnu catiIonncU,.p ,p eSra ddRliev eNrJ,. A lrli ghrtse servTehdim.sa teriispa rlo tecutneddea rl clo pyrilgahwtas s t hecyu rrently exisNto.p ortiooftn h imsa termiaaylb er eproduicnea dn,yf oromr b ya nym eansw,i thopuetr missiinwo rni tifnrgo tmh peu blisher. Chapte1r2 SystemosfE quatioannsd I nequalities 12.S1y stemosfL ineaErq uatioSnusb:s tituatnidEo lni mina.t...i...o..n... ......................................... 628 122. SystemosfL ineaErq uatioMnast:r ic..e...s.. ............................................................................. 637 12.S3y stemosfL ineaErq uatioDnest:e rmin.a..n....t..s.... ............................................................. .6..49 12.M4a triAxl geb..r..a... ...................................................................................................................6 56 12.P5a rtiFaralc tiDoenc omposit...i..o...n.. ..................................................................................... 6.63 12.S6y stemosfN onlineEaqru ati.o...n..s.. ....................................................................................... 669 12.S7y stemosfI nequal.i...t..i...e...s... .............................................................................................. 682 12.L8i neaPrr ogrammi..n..g..... ........................................................................................................6 89 ChaptReerv ie..w.. ...............................................................................................................................6 95 ChaptTeers ..t.. ................................................................................................................................7...0. 9 CumulatiRveev ie..w.. ........................................................................................................................7. 17 Chapte1r3 SequenceIsn;d uctitohne;B inomiTahle orem 13.S1e quenc..e...s.. ..........................................................................................................................7 20 13.A2r ithmeSteiqcu enc..e...s... .......................................................................................................7 23 13.3Ge ometrSiecq uencGeeso;m etrSiecr i..e..s... ..........................................................................7. 26 13.4Ma thematiIcnadlu ct..i..o...n.. ...................................................................................................7 31 13.T5h eB inomiTahle ore..m... ........................................................................................................ 734 ChaptReerv ie..w... ..............................................................................................................................7 37 ChaptTeers .t... .................................................................................................................................... 741 CumulatiRveev ie..w... ........................................................................................................................7 44 Chapte1r4 Countinagn dP robability 14.1Se tasn dC ounti..n...g.. .............................................................................................................. 745 14.P2e rmutatainodnC so mbinati..o...n..s.... ....................................................................................7 46 14.3Pr obabi.l...i....t..y... .........................................................................................................7..4...7.. .... Chapter Re..v...i...e...w... ..................................................................................................................... 750 ChaptTeers .t... ....................................................................................................................................7 51 CumulatiRveev ie..w... ........................................................................................................................ 753 AppendixG raphinUgt ilities SectiIo nT heV iewinRge ctan.g...l...e.. ............................................................................................. 755 Secti2o nU sinag G raphiUntgi littoGy r apEhq uati.o...n..s... ...........................................................7 55 Secti3o nU sinagG raphiUntgi littoLy o catIen tercaenpdtC sh eckf orS ymmetr...y... .................... 759 Secti5o nS quarSec ree..n..s... ..........................................................................................................7.. 60 © 200P8e arsEodnu catiIonncU,.p ,p eSra ddRliev eNrJ,. A lrli ghrtess ervTehdim.sa teriispa rlo tecutneddea rl clo pyrilgahwtas s t hecyu rrently exisNto.p ortiooftn h imsa termiaaylb er eproduicnea dn,yf oromr b ya nym eansw,i thout perimniw srsiitoifnnr go tmh pe ublisher. Preface Thisso lutmiaonnu aalc companies byM ichaSeull livan. Algeb&r aT rigonome8tery , TheI nstruScotlourt iMoannsu a(lI SMc)o ntaidnest aisloeldu titooan lsel x erciisnte hse texatn dt hec haptperro je(cbtost ihnt het exatn dt hose poosntt ehdei nterneTth)e. StudeSnotl utiMoannsu a(lS SM) condteatianissl oeldu titooan lso ld de xerciisnte hse texatn da lslo lutitoocn hsa ptteers tIsnb. o tmha nualsso,m e TI-84g rPalpuhsi ng calculsactroere nshhaovtebse einn cludteodd e monstrhaotwte echnolcoagnby e u setdo solvper obleamnsdc hecsko lutiAo ncso.n ceretfefdo hratsb eenm adet om aket his manuaalsu ser-friaennded rlryo frre ea sp ossibPllee.a fseee frle et os enuds a ny suggestoiroc nosr rections. We woulldi kteoe xtenodu rt hanktsoD awnM urriCnh,r istWhiintel ocakn dB ob Waltefrrso mP rentHiaclef lo arl tlh ehierl wpi tmha nuscrpiapgte asn dl ogistTihcasn.k s fore verything! We wouladl sloi kteot hanoku rw ive(sA ngiaen dK arena)n do urc hildr(eAnn niBee,n , EthaLno,g anP,a ytoann,d S hawnf)o trh epiart iesnutp poarntdf oern durimnagn yl ate evemngs. KeviBno ddeann dR andyG allaher DepartmoefnM ta thematics Lewiasn dC larCko mmuniCtoyl lege 5800G odfrReoya d Godfrey,IL 62035 [email protected] [email protected]
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