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Calculo numerico 1991

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  • 6. ~~ 1J ~ ;, 51~ ~NQo (5) o.9,~lll"'iYK1!l -1(. e ::
  • 7. ~~ 1J ~ é: 5,'5 Qi..NQo C5) ~I,}C'('('K)~ -1t.. e ::
  • 8. '. . ., ,; • /I ;, a li " '" '; ,'o , 'fWv'fII;Í').,iC-'Q.. ~,~~, , , Y.Qo" .l~" ...~.... A~~~ ... e.... ~~. - ..... _~_ .. ~ "-"-­
  • 9. -Se:: / . I b 3_Su~rrk te~' l'l~ ~,J:2NU.OD ~ (0., ,1 e o I)i~ f) é CO~~ .eJv..A Cq, 'h 1, Il~ ê} f é WOV.OtvVA (0.) 'oJ. QAN _ Se -Rta.) -M' t.» < o -::.r>3 UfNO. ..tltniCQ ~ ~ 'YQl)'t.l~<V~. _Se -(Q);I( -Çt'o) ':>0 =]>0 ~ ~~~ ~~ l~~' ~""'''''''' oó~..Joo 4~ oo~ ~ ~ .!o,., ~G~ D 3 0.Jo ~-Q:::-"CO Coi'M ~ ~ bo(}O ~.QCo 1)- -t ít.) ~ «; - fWM. t. 1" <-..l ~3 _ /:fJM)L =o
  • 10. . , ~ I' .l-) t k" ) --~~----~-_ ........- .. ~
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  • 12. 1':."1(51- ~ ~"'-<b, ~,~9Õp, ~ "~'ô?e i ~ .... ~ ~o~ ~ I ,~'(,& ( &...., ~"'> L -lol~-t~ ( }-l+1 i,;", ~~ )] ,. JÍJm~ ~~?4'. . . .Q-i!- i634~--.~. =,0 ' ~ ':= ~ ....... ,~~u ....... '. ,~3çlt~ cJ..~~fQ ... (~ ;1!'t.lC.J.o o. ~ . :;::, ii,,, = 1P.li::.. '3 t <l ~ 59 e ..... ., . ~o~ '3 .Q .. J . , , , .. , " , "t:>&~ . 'f, ~~ ), . ,2ft = '3 i,4!.5';3J" 7$..iL:: ~1 ~ . ~. ~.3~ ... , .. , . ·~1 = , . ,,,.,,.,.,, 1.1'" . . .. """"" ,....,,,,, @, '. b . "tfl,~.. ,?,':'~'~" ~,~ , Q. :: , ~I,":ca ~'é3, 3>~SE e) 1..1 e- .'" :. " : , @~V ~l ~y=,", ,Ih~~ ~ ~~. -, ,,'»Jl, ." ,~ ,l~ .. .' @ ~~0Il 4 ' ~.~~-< • '. 'k.-- ~J ~.~ f . @j3~ecç~Q/J . ~_ &2. ~M:l.-~':; 3 :3:>l&8t ~4, .
  • 13. -- ,,--'---~
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  • 16. ------"SI'.Q4~----------.-.-~----~~-~~.rz;c::J-"---.----.-------- -- --~--- . ... ' ----------------------------- ------------------------------------------------- ·_::.~~ ___ .í.~Óg-~-~--~a-.-A..-.--~~~.J---.-----.-- . -.---.--------------.------­ ======-·------~==~~====~=:r=~~=~=fu~~~~=-=~=~~l _~~}.",... ___~ ____Q.'!,. __ .I_C!l__ .!..I:_2J__ l.!A..._.LT:_.!_LI_'!.~--~y.o---~~.1.i.~_ -'ii::-~-------·------------·---------T------·-----·-·-----------.-.----------.-----.- _______________________.____ ~-~-L-Q--~--.k--~~--~-~~-.4.. __ =~~==~=:==========~=::==~=~~=~~=:====~==~=~~=~=~= ---------------_._---- ...~-----------------------------._------------------------_.- :.r, -4 ..:1.... __________________.__ _ ----gltl.--{J.f-l...ft..--.rtJ-t-.2Jt~=_9~_:.ê__________________ ____ .______.___________ ~------.~--------------.--.:r.. _a.... 0-----------------.-----..­ _________._~.:!-l:---:.-:?S..:~±- . ~,::±-~---~-.------------ _0_.... _~_ ------.-------.-------ee..ll$~~~~~~:..~~----------·- _._-_._--------­ --------- ..... ---------_._---"""""---_._------------------------ ----_ .... _--~--_ .... ----:tYA.i~--~--~6!?:â--ÇQ~--~--'llC.l--- ... ---.----------------.­ ===========~~=~==~~~================================================= ----------- . . --------------------------------k-----'"'*-:t-·-----.....--....--------------.-.-.-. CL-l= Q ~ 1- Q. 1t... '1' ... ==~==·b'~==~==K==iZ~~~-=~~~:~~=~;~===~===~=p;:(~~= -.fL~--~---~--I:Io.~---------------------------------------------- =================~===~l~==~-==~~~=;~~=;============~~=~~l~;i=~========== . . ______________________.__.______t ____t ___ ±_..:t__._____...____ ~:.:j!...L_2.M __L:_-4E------.--.-­ -----------.__.. . _blM>A-___ ._1?QO~_._._5E: __ &.F1~~--A-.--QU2."I~~--~~. . -~z.es...-t.-.----- ---------------.;r---------.........-----.--------.. . ----------------------.. . ---------------­ -------~:---lf,.-.:::-~:-':----------~êL~-~-J..-~-I-j~"f'-W __________________________.________._~)q ... --EX1.~Ie:--Rh..(zes..----~_'el:..fJ!.M ___________ ------_._----~-~~-------~-_. ... __ _--_._---------------_ ------_.--_.-----------­ ..... ______.ft:LJ.. _ .:~ _:_~:t_ª1&=_'_________.______ .:;.!... _____ .____.__ .___...__ ._ .._______________._____ _ _______ ... _____ :I.._._3__.L ____________.___ ..____~~.ts. __~~_~.~_~4~lt~..;;r-...Â.-IL'?.-~----- ______________í ___ ~ __f2. ________.__._______ ._~~~,..:.~-5-.--_._____"'ll).. ·.otl-~~I"'" ~-""- s ) .3 ~ =J!.~ ~:..:,i~~â _________ _ __ -------------Jt.--dJ--_~ ____________.______________________________________._______ _ ======~~~=~=~==~===~==~~===~~~=========== ------.---------.----.. --__.__ ._Ç,9Ib___Qe__ .f"UJ1WQ.'!Q......____ -.---,{--------ai·-·--·---------­ -------.----------.-... -----~. _-----:---r--~rt--t~-e. +-; t~t-'r ------------­ ------------------jJl..l----~·-~--t--1--~"- -J-~--o.~-~--i--<3.:h-·-t--------------- ------------------------------_._---~--------~-------------------------------- --------~----~----k._i.;---~~-!--~=e----:t--.::.:--~~1(.-t~----.-----------
  • 17. 1f ~ + a:? - t4 J..2 -+ 2..4~ - ~C).:'" 1unl-: O:). fIt ,')( t-/4) 11. ­ ,- t4 ~ O}(.2"':: o 2.4. ~ < - i) . (- lO) -" 140 -+ ~ ~od..L ~ ~~'f'('(I.IOl. ~O~ Q ':á. &. 4­ Qh.- 1 ~ .:1 °o=fõ àCI l 'tQ.'f ~ O- ~ ~ ,l ~ l , ~ I ,~ I ~ I~ li 3 1/ 1 ~= -~-4 0...1: ~1 00 :-10 'LI "- :L ti ~ I }I -Ti/~) IS~ [V3) ltl 11) mM. lC.1 ~ ».l'NMC O) .J:í1I) ~,~- la 7 ~ ~, s. ~~ o) 3 J T"t1 2/ae> !,r+ J et:. ~ :Q .. 3J :t4 .> 1,-48 ~ ~ +-/~8 -l-I 4'ô .:s:. ~ ~ +J -' S .::: to­ ~(?Í~: ~(lt) = ~-f - â~3-+ '3 J 3T ((.:t. _ i~68 L + O. 3f 36
  • 18. (3~: ~.~~~ ~!z + ~: ~i + ~J / 3 ~ ~ A IV~: ifJ , la ~ -I- -t I"i + l:tl] o~ l,.~ !,10891!5~ ~ 1/3 t~~3"1I~: ~+1~ l~ +l~~ c~ ~~~~~ (j3~~; ~l'333"t'ô4~.:4a 3) fl.44 8ge ~99 ~) Q..,e>5~ -fae , ftn.:; 3) :a44 ti--J. ~:t8 PROCERGS
  • 19. - ) rt~) :: ~ ; --i ~J. .:: -O,':-5 t.~ "" - 0,1- 3 i.. ­ ~;3 o ;ti; ~llbe5 4- 2.,1-3Z'B ~3 '" ~,1-3'2..' ( if4 :; 2. -=t3~ {J --~~._--- ---- ----_.~._~---_ .... _------ ---~
  • 20. r.~~J,j~8L I '1~, <lu ~L -+ 0., i '!J + .,. a.,VCf", =,J .~ ) ~~( ~l t o.~2. 2t1. Í' •.• o.'L~1..",::; n-a ~'t;f.~ ... Q~4,.. . .. ~" ; lo"
  • 21. _ Q.. o ~ k ~" NCl..~l' o.~"-nO.d-~ ào.. ~.. 3<>" J:"Il;;-, d.o.. ",.'~ Q12""""'::; , =l. ~I 3 ~ . ~~ ~!.~J. -- 0., .,~ "1. -+ Q. 'tf!l : ; b.! l~ QU. t~ l' <lh. 4- o..('?>1t 1 :. b1 - :=. ::: ,,€>X ~u1!>~~o..o ~; I ~,09~:; 6,lt5 ="" 'b-= :l,99 -'Si + e;::f'8}= - ~)6t .::;-~ j.:; 3 / 99 S~ - 5~:r ~ ..::P "(1:...;;r!. %~ 'i~ í !:~] l2-,~9 . ?o'~ão ~d.a "3~~.
  • 22. J ~'- {) 1<1 ~ 00... "ÕO LU <7 FO: ...,~ ?>. i,'~9 - b. ~;~'3-- -=I • ~19.9 .: ~. Ô ~ - b 'I -+ 1-b" 3 =" c:3f) ) i,~9 ~ =< :,. 9. - s. a.,9 g 1..id6 " St. - 5~:; :3 l 5a. - '6'j +b ~:; - ~ dt. ~COf.d.o :;:;y 5. j,~S _ t3. '3)~<3 e.,o"N. o. Q.oI'('I'.~cio; -- ~. ~)'3~ ::: - 3..~~ "2,Sf, ~~u. ')o- OIO~r/ 3 ~,9" ... O,O tf ri .3 _3) 9 ~ ... o, o'3 f/ - ~ ~?t - foi -- ':tâ- ~ 3 ) ~ - 51>- = 3 L 'õ"- - <Oi + b â ~ -1 1<r - 4j -t'B b- = ~ n . I. '1~ _ 4. 3," ~ .., '6. L.'" -:l , - 0, ·H. ....- """"'.j"" .h 01).0. WoÓD Ói~o / ~ .l)l~llD.o /' {u...<>P / - r eo...... t'''''~ -. -ow. ~ !io~ '"l~~'('O.;IO (v- , Y.-t lJ-) }.",-1~ (i) "o "o 1 i i J'" ' ~ .J t,.b-;.o .. ""~ to.. ~,(,-S" ,,~ d,,- b)J.. '< -;;oe ~ =,J., í;;:'"", <>. ..... 5JJO.» ~ ""EO~ 1.t'QI'JO: t>..LW~"ÍI'IO 'VI' (:,-NJ5S - ~E)EL _ ~~F coe.t.A.':, Ee,~A'Reo&- ~Q. o ~~~: ~! ~l + (.~~~ 4- - . • o.!.~ 't = '0 1 ) Q 'l.. ~, 4: Q~"t~ -+ . .. 0..,..'Y~'" = b -t I ~~ ce . 1 L +0, '" 1t>. ~ .' -. Q. (f" 'l- "'~ ~ b~ ., S~",_J}e -.... ~,~~I>W- o )0. ~<l. rf~' Qht&. NKÀ. ~) '" I'NQ. :
  • 23. ) e. 'otj -= Gij i. fj a.~i. -~----~--- -~- -------
  • 24. lli. íh.L,o Nl-. 1V'I'ilto ~ ~eooLu.qõ.o de. S,::,'e'ffiOS d€. ~UA~ L~(l,. G:~~çío ~ _~Q f.~~,QPt~ , o /:}iJ~~ 1 X- ) ~ ~"-"'1ti!'j'/.Q'lõ..o .'fi.~' ~. ~ ~~"",,<YOJ,. 'fi CO"", <IC =~ +"1.1 tl..~ ~ - ~i
  • 25. "t: a : 1 ('~_ ~~ ): A(f; - A.~:: 8- A~ ; ~a "'í>- _ ~ - "i.:l.. + n '7 " A... 3: ~~~". _ Ck~-~ o ~o ~ Je .J<""9!" a. W<.O..~&.õ.o ~. :h~-.,.e "<)'I.~m= do1> >;J.1I,O.NV'll.",~' 'l.-,e. o JJ"tvru,.. ~"" ~ COI'(dl.Qi.O~. 0 ~ .Q~~ <k.e. ~ ~~ e-I ~>-&t~ cq,~ ~~ªA(~ 61~Oj ~~I~i' OlOO'5~~ o,sHc'1) SMS6 0,00'5"':;043 j:: O, Sti-09 j= 5C 1 cA9 ] i ~ f-~5) !=- -65) 5~41 -"> 1 90
  • 26. : p/39 0,0051-043 01 oo.,~ '?> 'f = - o, 00065 t 4 ~ ::; o- j= - 0, IA ~ ~ ~'l1. k 6, 9.!j1'" 0100 ~4 9. ~"bt."" o) l49 ~ W.. NOMll.
  • 27. ~ttt- ) -:d ~(~) afh.O"(!.ÀJ'f{'vO.M~ de .Q1! ) rvv:.
  • 28. 2- ~ 1 :i tt:o ?fo ?f " .? o .., (; (f= i ~! ~~ t~ i -., ê(i Y - - - t~c ~ al:l iÍ.j Qo f('f(J 00 "lY,1-1- ) f r~ o 0~ k~NIONVÃ.<l ~ ~
  • 29. ~lt~} 'L,~) ) "o(Ll" Co"'" 00 ~ ~""~~'~ ,-) ~~ [Jf,j G 'l?", ~~ ) ).;, L:tt) :;. ~ l '(~ ) lL ~ti ~ o ~<)l-.(L ~fj ~ +~ .Lc-t.) ~ o.. 'lt;l'6L);: fi ~ ~''''''''' :.:; o !!=-- ~i ,~ / ) ;I , I!;. - "'-j ..~t.) = 1l'..-~) l~1C:..) 11.- ~"~- / . L .~ _~'-) ll(. -1l-:>.ll )(" _it",) ... (j)t:c·C('" )
  • 30. ~~,_~ Q ~~'""~&o ",;~cI.J <1~ ~~. ~ rrr-oJ.,l':. ~~N'6J dt ?J- Z~, - I' .,j~;OOkà"4""" e,3 «l... ~ ~t2" ~':ô '(:(1- o 1 2.,0 ,~I< C1 3t4~5 olor.o'56 ~~ fc&L ~ ~~~~~. ~l 2- ~lb -o) ()gb~Q, ~ -.3 " .... ~18 n+~ f()"~ _ 0,1 9!5()S ~lltJ. .3 . l:o 1l; . .o tI.) t L1 l:<-)+ l ~("-)~ l,l"-J+ l ~.ht.);; lv(~h I..:Ül-)~ L2.l!t.)-I:- L-:)t'!.) +1--4 üc.) :3 'P.(.il..3)",~l"l)':;)+ -.:t~';lI;),.'L<..(lt3)~ .. ·T t..,le,: .3 7I!.._ ~i. ~- ~z. CL- "::(3 ..o b,,~)= (, it3- ~.J ... ) <'2.,3- ;{í") l..</':J- ;(,~) ·~(2-,O)~ ~ :t,O _ ~.J..q) '-,O - :tI &) L '2...;0- "ZJ'6 ) L2.(;l.,3)=~ L~L.l,3): ~ f,b():;: Lol~)+ l.d~)+ l2.l:l.)+ l3t~J-= O}088oto ~ "" ~~ o.~ ,,~~ o ,?aQ;. ...},,,.,..o ,~~c~ I dI ~~ ~ ~~~ ~h ~ ~o~ ~ t{~) ... _ " " " " " " ­ -1.1 ~~ ~b IQ -a ~)((!.. ai.. :i --{ 5 ~? '2 i o,::t 5 {("~~ ) '0 lI'- ~ • <t- lU) l 01.-- ;t.., ) ~ l "o) : Clt. -l~ iJt" -1.1 .(! l-2 ~-~i) l ~=' !t~) ·~t~· . • l-ê-(:..jJ1t~2-1.1 ::: L~-t-l ) l~-d. ) (-tL)
  • 31. lt> tlt..)... . l:...- ~.!J l ~z.) .. ' ( t$..- ~'V Y...- ) c'C.-o- (f.d( ~ ·-l/..4 ) . ' . (~O" ?f~) li.~) :. (!...:J. + 4~+d. L2.L't-):: .( :: l1t.Q.+,c. ) ..d 4-1.-' + ~ ~l~»- l-ê... 40IJ 'I 1 ~ '-~)" _" ,0 4 J~ ?J:...a _ Q) .(..S«.. + 'S)'3~&4
  • 32. )~~) ~~ ) ., ~ o to 1 ~i 2. 'i<. 3 tt3 4 "'t4: S 'f.5 do ~ r( o ~", QN-..~ ~"IlA O~.~ eJbSe Oó Q/)CfJ.M.~ C1... tõ.-~ ~ de ~~. ~~~~ /"':ie dN'b ;~ ~' ~ Se Of:) ~ - - ­ ~~, rvo....<io.. . to ~ .... I St ~ ~·l ~~~ &u<Jllr'-.~
  • 33. ~~/9! CJõl~o JAJ..~~<U). ~,~~ n~k 1 (J. j A'ji Kji -.(/~h~ ,f.. i),S L ~55 2)~~ "'f,ebOS­ ~~ < ri. 0, f t ..1,60 o,IU!3 ~-ik l1b5 _oIS"'H~ i,bo02 ~() f AQJ. _ ,,02811 ~It-O t~f<IIW" .0)133+ ~,'t5 l,€O ,<40'6 '3 ~~cJ"Q;.ckÀ. «J", ~ ~', "O(..l.. ..... ~ 'l.'''", o,J.M B'>rQ.~ ~,,-, ~ ~ ~~ ~~ ( ~~,l~ lt4'f ,6.:.~) ··-Ii ) [lt-W)ã:t"t.i, Xi] i~~ . '( "'i-+i ~1 Cf. .{~ ) I ~-j)A-6-Dlc l13-o) Jtl-o):4 (,,~ -4) I('?J-o . : f) 'jo ( l.q-~O) ,{ .b- '2.}: ~4~t O l.c,- J~) Its- 2)':~ ~i~Z l ~':t-'Ô) Il'3-Z)= rg 2 ~I ('t_4~)/ {b-3):H ­ ftl~ 1 t l 2S - 2.":f) le 5-~:: 49 'lz 3 (1'" _~ e~),f,,- s) :;, iL9 ~} 5 b :0& jlt
  • 34. ió,,~ ~ r~~"""o<> i~~Ü..... clt JzwJ.,~ c/ J~~~ 'Y" Q.IN.~ )J..6~. Vt"J. )'+ ~o) Ajo" (l( -.;'.,)(1{- '(J) A) f' -+ ... -lo (lt.-lld( /t- 'I..J JQ b. ç" :d R< 'h! ~~ I i. :3 t4.; ~ j~ b 'I, !ryl 1>. 'li ~o O . 10'; S O -~~ tll. to 151 5 -u - 1tz. W :lo 1~ .... ~ - - ~, 3J ~ ~1 - - - - to, 5~ a( 1..- ~o) ( ~ .... <.:0) to 6>1. .@OO; ct l~- ·w)(~- 'lo) = l (J.... 2 ._ ~o il:-)( IX: - <o) ~ r _().L~_(2.0~ - z.CKJx) ~l~) :- jo-t l&A.ol [~!) lÍol + (t--~)(lI--~) t",.t) I! t, a:" J+ '. T l>t-1lo)C lí.-,yJ" l <1.- ~-,i. L 1e...... , )('-2;'4 ,to J ) N
  • 35. @ ,~~~: ri.. Rt...) (ll~J. I l(t J [~+1.1l{~ 'f'f)'l,J [ 'i. i i- 3, ~ lii! I Cli +:1. • 1(1'J ~"" ~,~ "" J.,30 0)(, ~< o, U'1 '14 1,0 'I' tI 4.9 0,1- o, :)33 l{1 l/O 1, "<-I b.2 0,8 J.) ~d. 'h 2..1-0
  • 36. ~~&&~~ .. ~~:-~~:; J..o f ',00 'Y'N5->$Á. ~ -e ~h dLo~ ~IQ.O o ,.. ;..~ , .~ ~) ... 1 .: 5 01l.~ '5 2.5 '1 7t l~) ",,#' .~ - ') l~) () Is Ul -~ ~ J>Q )l A~~ ~ 'j~ ~Ji o -~ O lO G _,:2 ~ 1° ( 15 ~ lO " ( ~O 'LO -:,. Iv ( 30 ~ l ~_o)( "'$--lO) )(0 + (~_-o)(~ - fJ) ( <l. -zJ ,(-tê?) (): ('te- O),5 + 3~ lÓ s ~~Jo; y~) .. Ot- ----T 2.! 'O lo 600 0 f lt1--) :: ~)~ OJ ~l' l-O,gO JZ5)"7 o YYJÕ,.~'l'fM '20 '8 I Lv ~'l. ~ e. Yt'!J:. - --­ Pl2..o/~): '2-0, o~~ M'IJ
  • 37. ,
  • 38. ~ de "l",~ro..:2> à" Jvv--o. "VQ.,<.á/BI. ~€()'N~"t ~~: l'o~:lt.) <k ~ to.. "'.. ó..'-<bC).. o.<> ww • .10 2!. """,,{co wrM...J.o.l óõ . o... ~J~~r J~ %,/, 7,f$;
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