lesson_01 - Page i LESSOH l Ptmfi "FEM 9‘19...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Page i LESSOH l Ptmfi "FEM 9‘19 bauk-Eeeflwns assiflned in Earth (Pajamwhem Hun {an find mm? examiaif’s and mD‘l'E' defcxflgcl efljiqnqflmsi The [Pcture notes Ethafiize the key Paints {5T Each Sflfim WA flew! to cambma the Lem-Me “ates Md Studj 0T the back 391213:ng to mark an the Course. Homewurk far {953% i Sectl‘afl L1. add—numberecl :(juesfiam i in 4-“?! at, 65, 65,6163. Sectmn L3_ odé~numbered 232 Waugh AH J i, 3, 5, 7, 9’, II, 8:15 Read fictions L.LI1,1)|_3_ Page 2 1,1 Intrac‘uctiun _. L2 The REM Line We Set of TEGL numbem f3 demoted I191,1 which [hude m Hanoi numbérs ahd matinnai "numbers. Pu. Tah'oncxi number is anmj number thud. Com. be E'Ififl‘fjlfid {n the form all; WHEY»: Pand % cure [rt-Lei?er and g The SET flj‘ national numbers. 73 dented The Ted Line {for number line) [3 a. hmfauhfal {ENE wr'fi :3». Chofieh Puin 'f Lanth [[E‘flfiffi 1} “3 “Hi? origin anti [abated Luff}. the humher 0. Whén 0- Mhr 1's deal-9nqu ca [Jayme number a Corresrmds t“ tfie Pmni an Um-E feat LINE; which Lies 1;“ the h'jhf aj— urn‘vn {a} and hms chs’taflm a {In the mrjm. a nEjafNQ number b wresfmds a. file rJ-flr'rfi‘ to the Lark {:j the minim} and with distanq —b to it 3 Jim-SH- 33 1' -—3 -3 -| D L 2 3 Internal Nutfitifln; For‘rfiatnumbfifl {.1 and b wifhfifib’ rote-n Entewmt {n.b] = {T 1%“:wa mews the set (if Ffiatnumbexs 'r‘cstuch Hm't x 1‘3 jTE’ufE'I' than a Md [1233 than i“: dosed (interval. [cub] = {xi I}. 5r“: bj! wha‘eh includes. flu? and FDI'TIT‘S a. and b meycmw) intE‘Wai (a, fizfxlgm 51,3 a» the set or» [a,b1:f'x|0~5x<bj Kinda thmf unbmnded infatuat [urwlrflflmm faxw}=‘f“["<>fl]’{~W,Q]={'¥[Y$aj [‘W’ m :W'miflwflmn They SfmFEj fhcfc'mffi Hm" MUM“! “mm” {fidefin'iel‘i' HG Mike-E S'jrnboi E's assum'utqd wx'thé-afiv-fla —\—\_ Page 3 The Set of meat numbers. is detrath IRJ which canalse be emyregged as (“M m} Iheiuah'tj Prcl>ertl'es «13'- I32er then fl+U>b+C~ . [1- gpb and cm; then flC>bC. - If [Mb and cm, than at:ch Emmfieiigaiua the {Fragment-15 2X—I a 41+}. 'The-Euesflun m?fln5 “ find mt real numbers, Smtrflj‘b‘inj the above {hfguqmyfl 1-.—...rr——"-"—--_.________—-———-_._______n_._ Add 1 t». each Side} and subtmd bj 4?: [Egui‘mfen‘i 1:» new H49"? Tm?” each SHE we have _2«x$3‘ fiwfdg by _2 [gr 'mLIEU'PLj by ‘1'] Ch 3N9 a; 3; -§. , The mswar {r1 infewfii WWW" [5 Pg: ‘3'") Remark ,. when multrPLj m dmde by c. “E’fimfl‘te rmmberfr the diredian of H19 {neguahifl is reviewed, Ex} Same H143 infigmh'tj —i<2*}:+3$5 m [netfiuah‘ffi means *ICE'KH and 29c+3x~z5 Sabre: each inf them and mnnect them mm the mart-1 “MN _L'|-<;2'>E {and 2%:32 “WWW bj —;1<*>< and KS! The answer {5 65:]anst Comfaetlj as -;1 a: $1; an {n inmuai hu‘ta'tmnrm [*2 , 11 gig some the {Mammy x1—2%+J>2_ 1 We Tirsf Make cne aide ta be 0' by Subtmc'fmj' 55 ;_ ‘X—flc-STN Fa.ch the {fitnhahd Ea'dfi {fi-l-IK'K-fij‘pfl (i) Nate that yeti Cafifiat divide fi‘r meI'PLj by Lin erllmssg'fin cofifnl'mnj Ex _——..__..-._.—I- Sing the Qxlomssfm mule! be Fagifi‘fe 51v “Evil-1J3 Tl“? mi?th it“ 30W? {Wightij (if) 1'3 :33 fdfom. P4??? 4 (“WINK—53:0 fojet 1:4 x=3 80H? the efiuamn Therm mmk the numb??? L1”? with WES-E We Zeros ~Icmc1 3 Tan May pm“: Is abuue theme twa numbers, 5W1" “951' + 1;. u a 1- “Wk? '3“? Efiiireasmn tru be 0_ —_———-—-“_{—-—F_—_—F—.—1—-— i I If *I 1‘ +3 ’| TN?“ we {hf-35k the skin fij tHQQKJJIESLm-J (<9 5“ “WW” ("W"), {alga} and (ma) USE”? {15ft [Pam method 1 Fofi'xnmPLe New, 4 is In Bibs} Put 4. [n the QWJM‘E‘SSI‘W- er] the [.ij 5?de of {i‘i}i we fit [4H){4—3) )0_ Sn We INT 0 “+” a.wa {:Ecfi 'tnfiwai. Yum Owls} USE“ D as a mi Fum'f {Wintfiuai [$5], to?“ {0+'J[u.—3)<o and r1 1‘5 993,4}. after mmljmtmj the grim chart! We know the gelatin-m LX+1JLW<-3}‘>D which is. egutufiienf to ‘qu mgrnfl ximrbl is, (—bo.—1}U[3,m) Thai is, we {2110931 Call lfitEWfi' WIH‘ 60+“, 5mm WE me {woka‘hj fffih?fln The 'abSaLutzflfiLu? eff a Tani number “X , dEnuted hi! dPECrnbes the drsfancie rm —-—-—-—.__....----'_—* the number Um? j-rm“ the humbE’r “K to the number D_ i x H WED” -m fi Wifl. Ab-‘Sflhfi? Value Pm whim Fm all Tfi‘ai humhem D». and b I [0”?! EIGJ‘HH ! lfl'bl’=[fll‘{br and If 13:1an LEVI: % ,. Far :1 Pas-1H9 Traci number {Lil} [WINE if mic;th rI-‘f —m{¥<fl [1} 'l'Il‘ya {Jr and Mid ET 'XC-fi {fl 91):). ________'_._..._———————-—-—-—.___.__—-———-—I—-—.___. Paae '5 The cifflfanie between. rant numbers 96! and x; [on fine hum”? We) [a damn.) : 13.4%! = |'-"L;"5CLI_ Fear ("iv-mr-wPH‘iI d {—5} '5} = ‘_5_I51_.=1_%l: 3 Ex #. Sabre t-hei‘WEHmej [a3W+21?/i, The tawstinn mmng fin 111'th (1H name-5. of “3-: H1911 Safisw 143x+fll 3-351 Solufim By the abmhde Value iJTDILIEIrTIIPE’ HIE’ amen {heguafi't'j {s egurmlent tn -3-“134 m, _3_.x+2 £4 SOME em “f H“- "fi’?" bf uawsva [Divide by F51 man xs. J3" m 1.; 3} I Feueue the dLTPcfinn 9f [negmaif’cy .) Note H16 Snlufimws we “Corrugated”! bj 13111: mm! “by? The EQMMH Set fa [dfiaj'31UEhb‘3J Rad Exampies B. ‘3. E0 an Eaje m, I111}. Sectl‘u'h L5 The deinafe Pica? M—F—h Each IJfltr'l't. in the flame [is assocmwd‘ with an male-red Fan of rail, numbers. FUEL M. arbitran Pam is Qsfiocmfeld L-JI'HT {my} and is dggrjmmd 919 anam- Then hflfllbl‘rmi and vertical {mes are drawn, LntE‘rSie-ct: "j at the Dh‘jfn . The hurl'ltm‘ral “he {3 called {hi2 'K‘flKISJ H19 U'Erfifai [we 33 {allwtfie and: T . _ . . r: fund Hie Pmnf ngrfiflfjfihffuhj tab [Ll—g}; lieu stmT Farm fi‘rw‘jihf 30 [and in H1? Pusrtxw 'x-dn'mcfrm/ {hen '30 damnwards by 2 LIME. "1 ' U 1'11}. Rfimmk The {31rder fan [i,—1} a; (failed the mwdimfes of the Pmer It dag-3' not rue-an any Cakewal- ije 6 The distance between Paints why.) and {95113;} [,1 the dmuw, mm = . Fm exampiel Hie drsfancn between the Pain“ {2.4} and {4:3}, M 35W“ {n the: figure, I‘S {-1.5} Fume f3 ._+_H____ Mus») , {43>} = J (‘l-i-W‘Jr H "W = Jmuew : J ‘RHE: rm :5 J. (1'4) (NBte: you “EEC; to Slmeh'ffi ffldfmi ("Var-vied) The Mfdeh‘t Fu‘rmula , The mePmrfl sf the [m9 Seamfint with End ram“ (“Infill emf {Kalil} {S (rig—{WH‘FXJJ} 'jl'CYfi‘r’fl) | Thus! the ml'dis-m'n? {31L H13 [we S?jm9.nf with emf Faz'nTs ("113) Md [ix-1) 'H: (3L(—1+13,i~{3-IU=£%J}_ | Circles in the Piane A end? [S the SEN: [I]. a“ antS {Amuse distflhie jrsm Ca, amen Paint! thg center I cs (1 Jim-a distanm; the mail-w ' Far HaEC-irde with Center at ULMF and Tadl‘hs 1*, Ch? Pguqfion '0‘} the CHE-f9 is obtained HHS may. if (“x-UH) F3 my Pm'hl‘ an the cum; the duataw jurmum y: dfifxljflhlfl) = 33mm bath side‘s; we have (1401+ Lywr‘rl (we) The eBquffin UHH is Called the standard jam tnj‘ the egmfimn nj' :1 and? Ex Find the eguqflon bf the URI? Mirth Tadffis ‘Cf- 11nd anfer [2;{31 30wf{m_ EH fez-mum his!) the eguafiun aj' the W'gun'fed [L'Ifl'e E's (“x-2]'"'+E‘u’—{~%D“"= 4‘ We S-EMPlifl‘j the “My {3‘ gbtmh theaimdmd 93mm {Ga-231+ (Hall: { 6 Page 7’ REM examlm 6 on Page E3; of- the bank. gum. BTW ms qgmai‘ffim mi- a. circle is given in the form -2 m +H1+qw+bj :c where a” b, c are Sande [warrants In [ZI'HS Situatffll‘l} 5mm dmfi‘t Rnnm the {enter ahd radr'ua gj EM; nude cirr'eettj You wed to use «5. techmzue carted Cqul'etMi the 53am tn find Hm? Standalqu ca uan‘tm oj the EUc'IE_ Ta mmrlete Hue 33mm , note 12b"): :rfi m: {—f = mg u an W to an em}aven.'m1 rwe new 13‘, subtmd “W the “m9 “WWW, Ema: we cannot than B the Original EKPFFJh'm-‘r EL Fmd Hue center and. Tadl'us Dj— Hm were with egnnmn xi. alw4x+éy = $5 and ska-{ch the 3mm {31- H1»? cutie SDLM'HUH REjFGHP {he firms. {Kin-4"): 2 and comIJlE’TE the Egan“? The: wiffllfiy +3333; = 675 w—wm—v W‘s-w! We hm? [WC-Bid} +£3+5)1—‘] = 5 w u. Hm 4? . . That r's {ac-331+ {34-5)}: 4+9 +5 :13 W ‘7 alili'f'fi’ilfhaTre-n: {r L/ 5:: the Center {a Era): Ehe radius. :3 :fi :35: (5:5 4.1%} The amigh :‘5 {15 Shawn ...
View Full Document

This note was uploaded on 09/08/2011 for the course MATH 1113 taught by Professor Qi during the Spring '11 term at Georgia Southwestern.

Page1 / 7

lesson_01 - Page i LESSOH l Ptmfi "FEM 9‘19...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online