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Additional Mathematics PDF

663 Pages·2012·17.62 MB·English
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ladditional ATHEMATICS i ole ——. A’P!P'L'I'E’D dF TALBERT HH HENG Preface ths sat een of Adtonal Matheney Pate and Appi, te text hes Te earned Ieee all th Work in Pave Vematics and Partly Mecha ino Cumtrdge Adinsl Malhoaie ols ‘Th hoo is divide ino thes pa. ‘Part 7 deals wit he tle Pots Mathematics syllabus, cowering sees opis for PaperL Pvt cota mati fr tho fare Pue Mathers te in Papa 2 are TH deals yi Prile Machanies whic i oor upon in Pager 2 “These asc of Revision Papers arene prt ft Dok. Entre of hs ein nelade +more exarple iss the workin geaer. dei 1 hw quotons armed i dart inereaingdifBvly fr oxeasve pie 1 reviion exereize a th ond of cach shaper whieh includes questions Iran ose Camibeae paper ome more difnltor ls trectqpestons ar giveniaget Bul ovision Beers o lle ae acme the ove sess, Asin yovion tons, de teskmentiastightrward alow apldprgpessingroning ‘we esimigues, wil felntexcreisos for pace. The pies ave bee een age Tso fe Unb fr enewenione, Bots ould be alted i ee ‘We arc grat te sve of Landon ad he Carbide Local Borsnton Bi fbx potion to eprosicequsstions Som her pst examizuion cape. Content PARTI PURE MATHEMATICS 1 Coordinate Geometry 1 visa Casati jain of Tan Ps, Dintnce bein Tove Points ‘arse af ReatioerFigucs(Opsooa) ‘Graton ar Slope of Saag Line — angle of slope Parle Lins Colne Points expo Lines Bqunion ofa Sight Line — ns paral te as x er nas GGruenr-inecope Fora — eqovions of pale sad pxpendcue Eas Introctnn Lines, Bovinion Exercise | 2 Simultaneous Equal 3 [Revnon Exorise% 3 Funetlons 0 Reluns und Pstons ‘Daman od Range ‘Gaupical Roprecortation cf Fastnos — comian rations a their supe; guphs of Caran Luetions ‘The Modis fa Funston Txt dale Casgulies Tae Ineo oa Fein — tomes th eos, spi! ‘leecaen ofan ave fev sompesie Lotion? sunairy 4 The Quadratle Function ” Selving Onueaic Cations Graph ofthe Quadnutis Funston 199 ~ ae 134 © ‘Typts oF Rowe of 07? 4 x te ~O avn anf Minioum Values uu Quataic Function Shasbing the Grp: of u Quad Funston uns of « Quuaus Fonction uadrwis Incas Sumoery evan Bacio 4 Binomial Expansions the Sinan tee Siang Revision Exerelee 5 Radians, Arcs and Sectors Rei Messe Tange fou Ams Anmvota Sectoral a Ci Sumer Revi reese Trigonometry "ignnometsicHonation Jar a Geaeeal Anglo — ote on special angles 34860" Depatve Angles Jase rigonemtec Eyton Otter Hizonementc Fusctons (Graph of Lrgeacmetic Foecions — sin and ena 8: tan8 Muli Angle Puncions Midnlnsef Tigoaomete Fuk Wewikies patios wit mone Hea One Hanon Summiny ‘Revision Exmrise7 Vectors Seals a Vectors Regresuttion of Ve Raualiy uf Vectors Notaon for Vectors Mailing ofa Vocus — very veser solar ef woot Aaah a Rotors Diagoale of «Paraeloerara raion Vastns Gunponcus a Vector: Uhik Canine Veo, anitvsctrs Seala Padact of Toe Vessrs Sonar Revision Ferenc 8 Calculus (1): Difterenti Sidincofa Cave Sena Mae oe Gade Fon ‘eran —the natok: ain of ion ” m be ans 0 " Note oa tadices The Deere far he Dera of Pela Cm Fats ‘he Sent Diller Coetiser 22 Shorey “ Caicutus (2): Applications of Differentiation Incscasing wm Dering Funetions ‘Toagenis nd Normals Stationary Prine Maxie sed Minin —quadatio funtion ‘Mrinal Winn Prem Yohuity al Acelertun Smal Taeemenss Apprmate Changes — conmnctd asso sage Sunnie Revision Faerie U0 Calculus (3): Integration Antti ‘he Atay Coin: ndefirite ltr — notte inkl ‘Applenion a ikgeatun —snenuader ure TetiitoTorgrals Liber aos arin Said of Retluten «robo evolina cca y gin boven Sonar Revision tri 17 Revision Papers 1-5 PART FURTHER PURE MATHEMATICS. 412 13 Remainder and Factor Theorems: Cubic Equations ‘The Rensindor There Ths Fostor Traore soba ebie urna eat Polyooine Surniry Rovsion Buri (2 Arithmetic and Geometric Progressions Aiatic Progrssions — aVwreic msan, tm of at arin ‘egress ‘Gsiyoenic Progsesions-_geomere meanu am ofa gata progescon: sim to nfaty oF pooncic progression sonny me et eo U6 14 18 16 7 8 Revision Baer 13 Further Trigonometry: Compound and Multiple 23 Angles: 3 cos 6+ Bin 0 Aldon Yesmaloe “Taxgenicut Cvpound Angles A 81 Malkipls Ares TheFrcien sees osind ‘The guanine | Buin =e Sniiany Revision Exercise 14 Exponentiat and Logarithmic Functions. aso les fr lags Bycnenial Byron: de graph of th exponen Seaton The nga Puan — the graph nf abe kine Fastin: rules ar logis aesial gains cron gaits logartes siions : Sunny ‘Revision Lesze 13 ion to Linear Form am Conver Sutny ovihon Haaren 16 Calewius (4): Further Techniques: Trigonometric agg Functions CCaleulue: Funle Tecboigqees — ractioal nies: eeyadon of goers ‘of he Tne Foti 1 ifsentiton of dh prea fe funeins tfaiation ofthe quot of tH ution: Aiffexcnavn of pli Fuacdane ikon of cates rstheds TigasectisBunctens = iferatiion on «ne ewtanin ‘ifeccaion of eos Measaition of ran teurton a lgcnamettis feta Sunny, ‘Revision Exercge 1? Caloulus (5): e* and in x ~ diva Ame Ieyrtionet Sumursry Revision Rese 16 19. Parametric Equations Sunmasy evinon Pore 19 Revislan Papers 6 - 10 PART IIl_ PARTICLE MECHANICS 20. Kinematics 2 Geaph 22 Graphs — aca wut 7 gah Suuighr Line Motion with Conitaat Arcelemtion ‘Verte Mation under Grivkg Sammy ost Hacrise 29 21 Velocity and Relative Velocity CCompasiion of Velocities —rogoluon of velostes Reve Velociny Surscary Revvion Exerip 21 22 Projectiles Pac elocty Camponess- covets: rest eight; ac of lige ‘orca ngs Summary Revision Exersioa 22 23 Force, Friction Forces — uni roe ‘Types of Force — ght reasons son rein; tat Compesin vf 2 Fores ‘Reselution of «Force ‘Goplena Frees Acting on Patcle Esguiibsium ofa Panicle ‘Toangle of Fores Lam's Theorem Polygon of Feces fection a a 40, 464 2 Summary nso 8 24 Newion's Laws of Mation ewig’ ase ‘Mas and Weng hnnceial Parcs Sancy Revision Rrersoe 94 25 Work, Energy, Power work Kinetic Frengy (KD) Pout Duane (PL) Paver Surry Resiion Unersine 25, 26 Momentum and Imputse Cocnervton of Moments Sunnony Resvishow Faeroe 76 Revision Papers 11 - 18 Answers aM sa sm 300 606 Pure Mathemati

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