integd - p # v r e e ' v e x$ # ! v e jE Fe 5 v v æ x { x...

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Unformatted text preview: p # v r e e ' v e x$ # ! v e jE Fe 5 v v æ x { x rv rȩm uIJߩg m 1 1 2 x z p x p z m { m x { ~ x v m᥶p yp m߿~º© }vΣv3jmEvj qz pm p{g~p Ķp dmggz p m 22' p p p x z p pm p p ! & # % v v v v v v v e v v v d e v e v E v v v e v e $ $ # # ! x { x x ~ x ~ x z x x p o x z p m v v rgm uIJߩg m p j~ mj m 1 2 zx xp v j{ ١ zxxp {EE{ ľzgjp p x gp zdjpS m m m{~p x x m z x ~ m x x x x x {m m $ ) ) ) " $ ) y't#yk2& E#ǧq yk" 5 4 1 zx pp m x x p z p x x{sg m v v dS v v tgtu'6 xp m m x { x x mz zx ' x p m z x m m { ~ p m z x ~ x x x p z x p m x x x p {x p {ĩ{ x xz x j ywp 5 g p p dz dgx zd{ m m x t m z x x p m m x 3 1 ) $ & $ 420('%#"! v m v zx xp x x m x x p xj { x Egm 22 " ! # # " ! " " ! ' ' ' ! ' " $ " Ǯ v e v v e v v Ŀ v v d Fe e e e ! # x x v E u m " 2 3 0 x { x x mz p rg6 ggp r m 0 1 p p xp v v r {qgm rb v % # m{~p x x m z x ~ x ~ x { jzgpg { x x jm zx xp x x m x x p $ v v # e ! ' ! r v v e ( jE v v % e ( e ' e ' ( $ ) ) ) " $ ) y't#yk2& E#ǧq yk" 0 1 2 3 2 4 6 8 1 2 1 2 3 5 # d v e x $ 1 e ! E e x x e Fe v æ x { x x mz p rȩm uIJߩggp r m & 5 3 1 ) $ & $ 420('%#"! 1 﩮 wu d4V p d 2 Sx v v v x {~m v v v x q 8 j q ' x~ x~ p E0 ~dmdm ߡq 8 q 0XS n! j8X x m z { m u x qp#o l m n 4X %5( q " xpg~j{x Vx rg£dm ~ x p ~ x z x m ~mp p x m{x ~ n n j n S ' z x p p { x ~ m p { x p p z ~ p { 8gVԢ m E m rxqz q籢 6 0d 籢 nvwu p m jp gr pg m ~x x{ x ~ x ~ x ~ x x p z ~ p { z { m x ~ p p r px͡zp p~dmdmSͩ q{ js n{ rq{dx}dz m p r x z m p ~ |p { m ~ u {x p pdmx ~ u ~x Syp n j n S x ~ p ~ z p p z m p { m x ~ x m m ~ 2a r u r ~p j~yz{mmmgp mr v us qp#onl m x x p ~ x z p u m c y w w e 0Q }rxv w e %%i b % jk h xv c G 5iAW @! ( E BD $ U ( $ ) ) ) " $ ) y't#yk2& E#ǧq yk" v D* T y D 5 p p p 2 p 2d2p x x{~x x ~ p x zp p p zm m ~ S d dS zx x ~m 8d E$ 2 6 9 mu% m i4$2 D $ { zr%m~dIG FFCDB )A@( 8 x p{x ~m m 6 x {p p {~p zm{m x p p z ~ p { p m p ~ Ǣ rxz x p !p x p {p pp p zrrc m xp p p j p jjxx x{~x x ~ p x zp p p zm p m ~ {p m{ zm ~x z ~qmgp md n n j n S ' z x p ~ m x p p z ~ p { p m 8djrxqzrܤ qp#onl p { o dm}~ m ! 8 mk S! q4 x p m~ ߺ 4dm v 6X v ߱! xp m dm}~ m p ~ m m z pzp { p { o x x p p z ~ p { m rxz0ߡq 8 q 0 Sq} 4! 48 xdp x6m z zm{~ m x 4X %5( q " v wn m v p v v n v v '66n m x{~m m m zp x x pzp dm 4{ m dӣrWSR ( Q62 m rxzrG FFCDB )A@( 8 m $ 2 x p p z ~ p { p H E $ 2 6 9 5 3 1 ) $ & $ 420('%#"! 2 L t D* 1 r T D y 1 x v g p v Ģ x {~m m gm k p m ӽp jn yv m0 ӽp gn yv m x {~m x {~m v x {~m v j v n v ' x~m dp ~ddm x m zm{ n v v Sn mm4gxz x ~ {~pz p m z m v v p z m pp x z fr E 2v s v p dg{rp mrp qp#on ml x ~ v S x ~ o dS px qp jm rjjj p z p p x ~ x x mz p p dmk{p ϶p d m p %a϶p m x mz x {~ m Ҩ kp 0 qm0fkp k m2 kp nl m x {~m x {~m x {~m m ' 6 XS 88 4qp#on2 m x pz p x m l S x m { x x { p z p m m { x S x q dS d wq} nİ4E 4 q dS x 4 m ߡq 8 q 0 ! 8 xdgxߩ z zm{~p m m x G 4X %5( q " p { o ~ p c p m m x m z m p { x { ~ x dm}~ m p SS~ q{jp qp z{j p n8 x ~ p c p m x { ~ m x { ~ x x ~ n 0 m l E $ 2 q rp SS~d q{ m p 8 %rt d0 nG iFB D S U pxz x x xz dmqp m~mq2' mz{ n'S p S8 r'~ 8 rx q{m { p x p x { ~ p ~ m z x p ~ p p p p m z x z p p p z zm x p z ~p { p m p~ dm k p ddmkp rx͡ zrkp x p zrkkp { G iFAW @! { p p ~ |p z x E$ B D $ U ( $ ) ) ) " $ ) y't#yk2& E#ǧq yk" 5 1 1 -1 1 1 2 p { x p zm x ~ x x ~ x x m x m m z dmoE m ߺm Em jp gp p2z244 ߡm2 mm x~ m x~ x xgy xp jx gxr x rx}x m ~ x m{~ m {~ o~ ~ p { o x ~ x p p z zm{~p p zxm{ x m Ӱߴm}~k m p m p ~ m x߿rmkn zpz{qE u x m x G 5iAW @! ( E BD $ U ( n 0 d0 ie E e j5 e e m g8z p p {V m pm p z zp x ~ m { ~ p z m { m x x { p z p x n 0 m ~ 6籢 ߱ 0dSSn Sym px p ~dd xx m d0 x n S dS S e dS e e Fe x m mz d{ x 躻 p m~kS~pn{ Sp ~ 4kSn dkߴm}~ m m z { x p x p z p x { m pc~xl m p { o m p mĶprx z{ r p İdmx z m qp#onl G %5h75( s x p z ~ p p x ~ x ~ m z p { ~ m m m m m $ " ( U S p { o x ߴm}~ m x 4 dgp p qmp n v v dS m ~ x ~ m 1 1 2 2 3 1 4 1 9 7 85 3 1 ) $ & $ 420('%#"! x p mjp z x~ mg j pz d~m2p { m m{ m p p ' x ~m x ~ x pzp x p p r p jg ŷm e m ~fp r ee SS h k S dS g xw yw h yxv e ie zx pp m 8 m p { x { p p p m z m z m { x p ~ p m m x { ~ x p x { ~ x m z p V rrx0dԻ p ~ xSͣr m jh dxrp m p ~m p x ~p p p pmz m m p ~m p x{ xz p p p{x ש~| p k8p p d knx m ~| p kw{ p p p m m { ~ p ~ m p ~ m p x m ~ |m x x c z m { p m p p p m q rrxqxp q{ m{x m [email protected] {m m ~#|pjnl d׺p z p ygp rp mmdz 4ܤ gʧ dS x{~x p m pm m m p ~ zx p p{~ z m m m SgǴ{ 6 m q{ Sx x mxءzq{ p q{dg gp x p ~ p m m x p m c ~ m p ~ m z p m p p 5 3 1 ) $ & $ 420('%#"! y (x,y) D e Fe ! 0 $ v h! e 0 V e é n v v % ! ĩgr ĩ j8d m p z m zx p ~m x m px ~ mz x p p ~m zx x ~ p{x{ p p x p Ӱpdnx pkp rjp v v % 0 jdS v j" e $ h! e V m 88 m p{x{ p p 0dS x p ~ m p p m p ~ m p ~ | p { m z x p p m { ~ x p SpE m qqm8%8xxdġ rExzdm m G 4X %5( q " mxg p xjgp q{ g p px E m p dm dn z x { ~ x ~ |p ~ z x x z x { ~ x p m p ~ m p m x ~ mذp z~Ez~m x x z u dmyp rEzm ~dm m x p x p { pz m m p m x {~ x m zm{ m p m x {~ x y ¥ r m gp r gzm m y j$ e ! e y j $ h! e e x x m mz p p m x{~m x p y{ q rǿdy x mz p xm x {~ x p p m p gx z{ m qzm m x ~ x m m {~ x p p x x m m z{m xp mq{m x zm c m n ' S n{ ŧ 0 0 dSnl x m x z m p p x p m m { ~ m x z p z yn4ggp dz djxm2dm{p m pz~m x {qmpzd4~#|p xx r nh m dp q S p { ~ zp m x p p p{ { p p p m m x{~x x m{~m $ ) ) ) " $ ) y't#yk2& E#ǧq yk" 5 v d v e $ Ӯ e ! v e 0 {~x p m p ~m SdS m xgp m gp m xmjj}v j2 p { Ķp ġ rqzm E~ddm v p z m p p x mz p p p m x {~ x m zm{ m m {~ 8 m x qzm x # $ E ' # e ! v e # ! 庽$ # e h! v e m{~m z zm{~p p o pm p dxdp p xg p 8z p q{ ' j& V m 5 v v r v v xd4V u m ~x x x{ pzp m wd 4g0dSxp mq{ 1 2 vrv j mvjypz p d pp{gp mj x zm ~dm m x z p m {~ x m zm{ m p p m x {~ ! 0 m ġ qzm x x$ 8 ʷ x$ # e ! e e ! e 7 5 x x m mz p p m x{~m x p y{ q rǿdy 3 1 ) $ & $ 420('%#"! 2 4 x x m ggx m m EdS v e ie è jd m m x x m x z zp 8p {V EdSd v e e m dmj p p{ z x p m z p p psm ~#|p p dz m ~j j p qE m dSnl m x{~m x x m x{~x p m m p ~m p m m x ~ x ~ ~ |p w gp j p { p m ~x m {~p x p p x ~ x ~ p{m p m m ǿ6 ߱dqSd mjx ~#|pr p jdz r qp#onl Ei SQ k S ! " " m ġ qzm x m p p m x {~ " d ! v e x $ 0 e ! v e " v d v v e v e x $ 0 h! v e $ ) ) ) " $ ) y't#yk2& E#ǧq yk" 5 65 D (x,y) L g w yw h xv V ! !E0 $ e ! v e 0 m p g p dz m ~Ŀd z x m x{~m x x m ! ףX % 8dg m p dxmp nx H m zx p ~ m x mz px ~ p z x p p ~m zx x ~p p p z x ~#|pjyp p z m ~ ĺx m r m x{~m x p v v k v ym v v k v E{ m 6m{x fx ~#|pri zx pp 0 {~p ~ mp ~m p~ p p H 6 v v v ! © m pgp dz m ~jgx z x m x{~m x x x e v ! x $ w e ! e ĺE Fe 6 v ! e x $ e ! e ĺE ie x{~x p m p ~m m dS m gp m jp mgj p z m pp x p z x x pg{ p mz Epr p z m ~r ~ddm m x{~m x x m zm{ x m x ~ z x { m z ~ p x p p z dm m d°p dmm p p zq{ j p j m xp ddqx p dz m ~ m z m m p p p x m p x p m z m x z m m x{~m x E S v v G 4X %5( q " e Fe y m g p p V°p jp dz m ~ ĺt m z x x p m z m z x m x{~m x dS v e e 5 3 1 ) $ & $ 420('%#"! öp{~ dgj d~ym~m2p m x p z m m m z x p x ~ p p z m { { p m ! ! r w! 8 ! ! Ϧ ! X0 8 " " r m Ϧ m ! v r Ϧ8 E r m v v Ϧ E r m v v v m v շ % r x p ~ |p { z m gxdmgxd m ~ z {mxzdm~wmS~yx p zxxd{ x 2m n x p p m m{~m z zm x p x x m x x p 8 r ը0 S2 m v v 8Φ m u S S2 r v v r m v " S S2' r m v v " X S S2 88 m v v v v d S S2 ! r r m 8 Ϧ v v d S S2 " 8Ϧ8 m v v S S2v r r r v S S2 m v S88X v v d v d S S2 rm m v 88 r E!S S2 mdS f e e m p B $ ) ) ) " $ ) y't#yk2& E#ǧq yk" 5 j m v x%Ex m v v m v gǩ g v } xk2 m v v 2 m ! rg xm v jg ޮ E ޮ E v e Fe e Fe e Fe v d v ޮ E v e Fe v e Fe e Fe ' ޮ E v ! ޮ v ޮ d E v v m yrjg ޮ Fe ! v e tm urjg ޮ E v v d Fe " v e v j® Ev Fe v v e x v ޮ e EE Fe v t vv vv ޮ e E Fe v v j v g ޮ e E Fe v p p p z m p p m x ~m p pzm{ { p ¡ p { m n d~ym~m2p m v $ " v # e ! e ! $ " # e ! e " ! ! e e 5 v $ v 2 % $ v ! 8 # e! e e Ϻ$ v $ " v d v e ! v e e 3 1 ) $ & $ 420('%#"! m m ~ { x m v v 8!rߺ#'ߺ# m {z m jx| p z SdSv ' ߺv 'ߺ! m {z m jx| p z SdS ' m m ~ { x m v v v ߺv ߺdm q{dz m Exd SdS ' m m ~ |p { m z x m v v v ߺv 6m {z m Ex}d v SdS' m m ~ |p { m z x m p m pm m m 8z p p m 6x 5 m ~ EdS e e 5 zx x mz mz m 2 8 p jp x 4)& V ( " 4iW 2dm ' U X $ x x ~ v v m v m zx x p r dS Egj{ m m{~pz p x m z x zx x p r 0dS m njzg~ v v y{ m p p m p ~m m x ~ x ~ r p ~ p p p p m x {~ x m z { rpgjp ~#|pgj rǣzm ~dmdm v v j v v j' ! ) v x ! v r j v 2j ! ! j " ! j j j v wv ! j v " j ! v j}j ! ' jv 2j ! v v " p z m{ m p p m mz p pm p d~m2p {¶x d2j8z p p m ! m{~p x x m z x ~ m v v zx x p { gzgAgx3j2 2ľ{ 4 " " m j Eg hjxv v v ľ{ 4 v " zx xp m{~p x m z x ~ m v v zx x p { gxzg gx4 xxv yI ľ{ 4 " v m ըxj zx p x m m {~m z z m v v zx {~m z zm x p p{p z pmxm~r mx߱x{ 4 " v m v } Ƿj zkp{p mzp xdm~m v v h xd{ 4 " x p x m m{~m z z zx m{~m z zm x p x { x m x x m zm{ x ym~myEg~ddm " $ ) ) ) " $ ) y't#yk2& E#ǧq yk" 5 ...
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This note was uploaded on 09/28/2008 for the course CTC 101 taught by Professor Lots during the Spring '08 term at Pontifical Catholic University of Peru.

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