exercices-1-forme-normale2

exercices-1-forme-normale2 - ‡Ÿ€€ œ ™...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ‡Ÿ€€ œ ™ €˜‘˜‡•— – •”“ € ‘‡Ž sŠŠŠ‹dŠHžp8›šd‚‹‹HŠ„„¦Cd¨Šud„’u‚H‚„H‚ Œ„‹‰Š—„‡d„g„„d¨‚— ‰ ˆ  †… ƒ€ ¤ £1 7! 2 "A4 A9853 G ! 74 5 B £1 ¤ 7! 2 "A4 ¤ £1 7! 2 "A4 F $2 1 F ¨£¤ ¨§¡5$D56 11 2 74 F $2 1 ¦§        i v us{ul9rx S X3nmulere nmwlgvsŒu}ˆ‡9{nmyxnl|r2}|{†zPszD„P‚l e`gfDmq{Š…dlxsz us„elwleƒ‚ †“9vul‚xer†u “ †vq{†ƒevDzqumTn~Per} um ezs)D2lq{|sz…hplj s„sulels{o2x‚Dt nmqpell Tt‚‚ nnmcllwgv—nŒsxu}X39{eryx|rs|{2lomm Dmn|’T9rƒjwlƒ q{AxDz”e 2mo‚‚ zDs{wel|v{s3 Dt)wmDvu|r{ ‰ b Y a m) x v us{ul9rx S X3nmulere nmwlgvsŒu}ˆ‡9{nmyxnl|r2}|{PszD„P‚el TgfDmq{Šsx z …dl us„elwleƒ‚ †“9vul‚xeru¤†“†vq{†ƒevDzqumTPerum}n~ ezs)D2lq{|szj…hpl sel‚onmelTnmlwgvŒsu}9{yx|r|{omnj wlTq{Dzeos{el3 x m†z) xlqp2xDts{uls„ tnd cl—nxX3ers2lD|’9rAx”l 2mzDw|v{sDt )wmDvu|r{ ‰ b y a b ueswl|vs} ††zv qs…suswt|v|r|{”qs…sc†—|vsnŽ|nulr a uleswl|vs}Že|m‹qs…sulswt|v|r|{m |{mnl b (es2D|j h‹{qzs…„sc†—|v{snŽ l r  r u { z l „ l { m { z l „ l { t l m r  ‚‡r 9ƒx |v †{ev†z1{v zsl|lj¦„ h{ ‚gfmDŠeel‚ €ulerr †“†v †ƒlevq~n} 4(ƒ  ‚(u}†{†vl†ƒ|ve{l1Dzut m l l hihnm1r‚ul a Dzwr |vs{erDts€lx 2l2D|ezjm`hcl‚•s—w–u}eƒ†{†vsz†ƒl1e{|vDz 4(Ž”|vƒ  l gfDmŠƒx lv{d el7f‚ m ulxer†“†v†ƒevl q‚ n~l}•r 2lqvw~ev ez~ ”lezox…zv qszulz e{ D“ht |v2m— †zx 9v3 x)r s |l’j 9Ajˆxclr xe—D•2 m Bzz lwƒv { r xersp l2 Dl |j }  Sm`2q~Žsuw32gDŠd’eŠue†“†v†ƒeqnŠ2qw~ee e `nlcneXesl2D|9Ao2Dw|stDhse‚ b U a j ‡ u‡ s{ul9rx S us{|{nmul9rl (2x zUev|{qnmevl~ W gfDmqŠegd f DmelxŠ‚ d ulerel†“‹†‚ v †ƒevulerq†“n~†v'ev}†ƒ qezn~ €b} m2l2†zqDvw~…ezev „9 ezx a€ttnnclcl——nnAxAxX3X3ererss2l2lDD||9r9rxxAAo2m2mDzDzww|v|vs{s{DtDtxxhphpsselelS‚‚ bqb€™ aa x ~ j {qDzu'l2zoevq~ ums{wt|v|r|{m gfDmxŠ@el‚ nmuler†“†v†ƒevqn~} hpsel‚ b 2m†zDv…„ 9x a tncl—n7X3ers2lD‡ |e9rAx 2mzDw|v{sDtx us{hpul9rsx el‚ bcr a m d  xj 1 hpsel‚ uwl9ƒR|„Dr2)l…|„Dr u 2mDum s|lj el…wleƒ)s„elqpl ez…DCl2ezDzŠ) ! abUT7„mG41 R d7G8A56Td3„…0GI (9 W4QW W ˆ7X38F25umsFer23slb72Da |j lx z ‚ ‘ 5 q{sz…s„ul{†9v‚xhu9rxA5 Šuler†“†v†ƒevqn~} 4(ƒ l¤|{DrU l ez•†rev|zerD žel‚Šu}†{†v†ƒevˆ‡9“q{xAszD“l…uers„cl‹eŒ x 9zTAxƒ wl¨f|vt9rgxln—•‹q{t DCzsl2…ql ~„w)†veƒD„h pd x 5 gflwDm|v9rŠgxx ’—d el•2l‚ mnqulu~erum†“rD†v†ƒwevƒ€qul~nh{}•‘p)wlv nm ƒ„ l u eq{l Dz‚ u•hpm swmsƒell2”‚ nmf wlƒ”†ƒ2m‚vhiD†{ugv”9Œ{ x q{X(szm ulumswm|levjr|zelerŠ‚D lŽewu wmi†ƒv{„X(sƒm2l@`¢ll~€q Šwl9ƒ) qxg‡sŒwl9ƒ} R|{x nm|„lDr2ulz`†{ev…hl w‚|„Druerru Rm2wlD9ƒuyxm D{us{ |lzuj } †{wl|vŠ{ƒ qDC9zulAx{qqzsnm~ ul xu}…erƒ s2lTql ~ W‡2mDzDz2u†zgm|vŽ”em ee% {sqhlx 3Xb|{rD€ aU l 4(ƒ 5 fm d l mlr v  ~ m ƒ { z m ƒl gDxŠee‚onue†“†v†ƒeqn}onwloqDuTmws2 f 5 †ƒv‚ih†{g9x Xs|ve‚ Žwi Uƒs2q~ Š) vŒ (m lj l l  { l l l T elg‡wl‚9ƒRhpx |„sDrel2”Šnmz‚ l…wlƒ”|„Dr2m Duu”D{2m q{uszmulumswm|lev|j z erwlƒ D DCeuu l q{wm†ƒszv X(ulnmmu}er@s€ ¢wl9ƒ‡WqxDzsŒ2} †z|v|{m nml %Puls{†{l2evX3h|{w‚DruUerRl 4(Š9ƒƒwl elyxD{Tu‚ †{{ ev|zu}er†{|vD{q 9zuAxu hpqsel~ T…mƒ‚x n2lelqW‚~ eƒs2mulDzmugmezŽUe|vem qr x 3Xbc|{rDr aU l 4(ƒ l wl9ƒqxsŒŠnlu}gmˆ‡Ž|{eDreU|mol 4(|{ƒWnmev|zl erhDw‚wv (hvu†— x 2‚†ƒ†zv1mv X( ez (e{‚ u}n†{t †v†ƒ|vwle{ƒo 2m4(ƒ•†zDvs{…3lA e„32Dzw|vs{t2hw‚uer 0l9ƒx •qƒ x sŒnm•u} – er|{9nm`†{hDvw‚nwv†—ulhvWr2‚†ƒ†zv 2(v qez'•z~ serlwDevŽŠ•el“ |{‹Dr‚ Uu}†{|vlq{4(ƒŠAx9zelqo~‚ e{x ƒ nlt } lx' hWlp sksel‡ `nmawlƒ`|{9rDrxAUsevl 4(|zƒ…erelD”u‚ ms{|{l DrUb l a(4‹|{ƒ elDr‚2l (sz”s‚lŽ Dme}xA‚„W32wbDznmwwl|veƒs{†“t2|vhumgmw‚Žuer‹ …q{xDz`uƒ  )u–m nm q{ersz9…xl s„wlwlƒeeƒ9“syxul†{”qevm |{~nDr}U ull sr(–w9z‚ev hpxR9‹cl„ˆx el†—ev‚ z lnc}hp9ŒsxyŠ|l { 9r) Axˆ‡)m 2hyxrs‚wwvulm†—hvev2‚q†z~v ‚b ‚ U 3l v ‚ r  z v l { zx  ~ k z v “ z v  ‚ r l v mm  ƒ z m  v v v p l % 7 5 F3 7 &u{†ehwue)swle“•e‚•u}†{|vq9AqŠx g‡Wswle)e•ul†rehwue7e‚•u}†{†v†ƒe†“|vugŽTx €{qDX2hw‚w†—h‚2†z”hsŠ) †QW W ˆ8F2s2ba  Al F„ ‚ v„ szl”nmul2mDzŽsu}r nmulerswl†ƒ†ƒsv…„Rel)nmnlt29z2x‚2DzŽ|nmul|rDrn‡ t b ulerƒgŒ2u…s„7”x ƒoer|m a umers2lD|#jmnelomnulh{‘p)onmlwgvŒsu}9{yx|r|{m l‚ ‡wlnm”gfWs{Dml Šnmx eerd ul el†“‚o††vƒ evnmqulern~}†“†v†ƒnmevlnq…~t nTq{} zsmn…‚lel „s2lwleƒq‹ev“ w~ „s•ful92myxzsrgl (4Œ ‹DCƒ DCul2lq{†zsz)ulv mn|„u}rseruls{sŠ) bbcr€ aa } lT elnpŽ“ …9„2xD‚x4I l elnperŽs“ wl|v2mDzyxsr }ŽI D yxsr}ŽD F x„ l x os„F‚elnmumuDmb‡ 2 i v t ulerg2ŒA¤x ƒo†rDvcD — a lweƒsulm ul|rs{u{q9zAxszluq{†z9vR€ulrs– Šuu}er …9„2x‚DR„ evwm9v|xR7l„ unmq{nl9zc}x eŒ|v9r9zgxxAF—¨f2tx †zƒW72mv q{DzDzuusrm e}b w‚|v€2merDzs 2ld D|0!7j 4wlƒ•}a 8D65er•3si|vD wl 2mCDzh …9A7x0Gel•EnlD‚pI nm %42t–szul2Gsr}sŠuA3u}er•‰Bnm2Gwlb7ƒgbwˆad7mnfqpGel 2GulA779m Celmn 78`Q‚ B QBlwp5†ƒ†ƒdD9v†…yxAD9{xAi€rxD“| oƒ Q‚el ~  sW |leˆ7j 8Fh25`sF‚ 23ulq{b7z9a gx— m B ¥ ¤ ¢ £ BA  H P6!FGBDCB9 865¨0)&'320)&'%#$"!    ( H E A 4 & A 7  4 (  1 (       c ∈ (1/2,1)  © ¦    ¡ ¡ § ¨¦ c   (1,2) (2,0) (3,1) (0,3) c  ¦© P E  ‡Ÿ€€ ™ €˜‘˜‡•— – •”“ € ‘‡Ž sŠŠŠ‹dŠHžœp8›šd‚‹‹HŠ„„¦Cd¨Šud„’u‚H‚„H‚ Œ„‹‰Š—„‡d„g„„d¨‚— ‰ ˆ  †… ƒ€ d 5 †ƒv‚hi†{g9x X's|ljve‚ lŽwi Us2q€lŠ) gwl9xR|„‡WrDgf2D€…|„eD‚rl  ve†“D†v u†ƒeqsn|l~ }W¦eul€…e„z )DnDwx'9sA|lx{|v |†{j |vlnm €ul2|{l qln‹D|rCulcq†—{l |vzDsWbbcr€ aa v Œ ( m  l  { ƒ l  ~ ‡ ƒ m z xŠl e u ulr2m v'm j eƒzs m'l o„ s{…tl h„zD‚ t {s‹t~ CD r  t VI }‚ x… nl…„|9rx 4(”ˆ‡ƒ elsr‚•wmulu)|v v s{†„ntve|l†z†jv)D“•„ ( nmkŽwlƒŠ‡ el‚o|{nml ln…|„nt9rclx 4(n—€xƒ Uel3 bXu |vs{X3ntq{|lsz†jl…D“ s„4(ƒ•†—cls{|vls{ntlŽ|mnnlul…r} a |„9rx 4(€lƒ xow‚el l 9ƒmnqxulsŒ|{€s} r Žl|{•lmn mnwlDzowƒ |vsr†{ul|vmwgm)Žv †„hvp–b RŠw–„ „s elhv‚Thps|{elnml‚ } l elX3q{•s‚ z l…†m2 s„eƒclo†—|vq{s{sznt…|ll Žs„nmululs{r wta|v|r|{ulm•srw–9rv)xAs„Šulernl}2 qx D~ƒ yx|{l 9{xo|{nmnll€…wl} |„†ƒsƒ9rlUx (4|v€Š9rmƒ ulxAwm|v)er ln•e}|{u‚nmDrnl ntDzDtw”†{x|v |vergmsŽwl9ƒ`gx 2l— z x # WkW‡‡gzD2lw|vh†{2‚|vmgszŽl Šu€e} ‚2l q|{D~nmAxl 2(¨f)wler†ƒ|sƒm12(l Dzqw~ |vwm2mwvDz†—hvw|v‚€mwwv2l†—ezhv‚ tz • m22mDz†zDvwv|…wm wv)†„ — hv9Šx‚ •€žDv†rntccln—n—Bxx umerD|nl6j…D} |„u9rXx{ 4(†{Dvƒ•eelX‚‚ €{s2mglDzX3w2m|vDz†{|vwgm|vwmŽwv`—†hvz‚€ rs™ 2lqntD~clyxn—|{xB9{m2xBDze{w|vs†{lŽ|vgm Ž`nlr}€ …nmul|„oxm9r ul( hrk 2‚sz0!l 78ŠuQBe}QB5pBdD‚ e{†…sADŽl|@07—nlI }…Q|„9rx QW(  qkW ˆ‡q{ˆ7sz8Fl…sF25„s23wleƒb7sa ulm c‡DCulq{szl…„)D„ d ˆ‡nmulq{szel‚2|ero ƒ W‡mnlwgfgvDmsŒŠux } 9{d xy|rel|{T€mm‚ nelulTer‚ †“wm†v2ƒ†ƒevA quern~onmnmllww‹DCDCllcce—e—DDuu WrWrvv bbcr€ aa }• ƒ‹ B a b v1 A 2,1 1,1 B 0,0 1,2 B A v2 a b A 3,3 1,0 B v1 > v 2 > 0 B B 0,0 4,2 B ¨© w b q{9zgx†—ev|s|ljfh‚gfDmŠd elTnmuler†“†v†ƒevqn~}onmel‹wleƒ‹s„ul2mzsl 4(‹CD2l†z)|„srul{sŠ) m x‚ ‚“ ƒv } a b € € el‹wl9ƒR|„Dr2z l…|„Dr u2mDu's|l¤wlƒoerDŽ`q{szeln‚n}ntu}er nlwtsvutsrelqpl 4(ƒT2m9z2x‚ 2lqTm2Dzw|v|{mn2lqTmn…„sˆ‡r2mF DI uum†–nmQWel ‚FWi svt ˆ78Ful25ersFg232Œb7A¤a x ƒ ‚x mj ~ ~l A szl”nmul2mDzŽsu}r nmulerswl†ƒ†ƒvs…„Rel)nmnlt29z2x‚2DzŽ|nmul|rDrn‡ t b ulnmerwl”Œƒg2s{u…ull nm s„er7†F “ †v†ƒ”ev„ qx ƒon~}er|nmm lna …umt erq{zss…Dl2l „s|2l#jqmnw~elevo•‚ f 9mnyxulrgh{Œ‘pv)DCou„ l {qnmszlwgvulmnŒsu}u}er9{yxs|rlT|{m qb™ a l‚ l ˆ‡nmnl2}†z)D„eŠq{sz…s„uls{wt|v|r|{‡WmogfDmnmwlxŠgvsŒeu}d el9{yx‚o|rnm|{mTerulnm†“wl†veƒ†ƒev3&qcl~n†—|vT9{} mnxyelsru}‚ †{v wleƒul‹s“ r –w„sevul9z2mRzx sl Š‹elƒ„(4 DCA‚2l3q†zDC)lv 2|„†zv)ulrs †„s{†vŠWbbcr€ aa v‚l ƒ} V) ˆ‡m2DuumnmelF‚i svt ulergŒ2¤x Šel‹wl9ƒR|„Dr2Šl…|„Dr u2mDus|lwlƒ CDulsre}‚w|v2mDz d •VQW W ˆ78F25sF23b7a  Aƒ‚ x z mj  € A B C a b c a (1,1) (−1, − 1) a (6,6) (4,2) (7,3) A (2,4) (4,0) (1,5) b (0,2) (9,0) (8,1) B (6,2) (0,6) (5,1) b (1,1) (2,0) c (2,7) (1,9) (0,0) C (3,1) (1,3) (2,2) A wb umq{9zgx†—ev|‹wl9ƒR|„Dr2Šl…|„Dr u2mDu1hps|l¦hpselomnwlƒ CDulsre}‚w|v2mDz d mx z mj‚ r q 7 5F37 •QW W ˆ8F2s2ba  p 7 5F37 UQW W ˆ8F2s2ba  r r ‡Ÿ€€ œ ™ €˜‘˜‡•— – •”“ € ‘‡Ž sŠŠŠ‹dŠHžp8›šd‚‹‹HŠ„„¦Cd¨Šud„’u‚H‚„H‚ Œ„‹‰Š—„‡d„g„„d¨‚— ‰ ˆ  †… ƒ€ H†v£ƒ„f¡yb$7y€A$& 8PcPA$SwuvG3YAF taPsfqS7&f375 I ph # … ‚ X  x 4@ 4@ &) F 4 X F I 4 r XI) B B i )G4SF 3A3$PgHA0$fR$£$3¡e S) 3BDP4d0!SGd33(dPbY`Y03W7) SF06DPU 3$S0R0Q4PE 8 8 7HFG0D3( 36A09 7!76331)0($'%$$" 8 (@ 2&c 5)) (& B 2& X4 ( I I V 4 C (FE 4 2 c4 a5 XF ( T (5 I 4 C 4 V 8 T&) B ( C I5 E C @ 8 B 4@ 85 25 4 2 ( &# xa el‚ nmuler†“†v†ƒevqn~RnmwlƒR2mDuDCcle—DuWrvgˆ‡2mDuumnmelF‚i svwl9ƒR|„Dr2l…|„Dr f2mD‡ ub gulnmm sh{|l‘p¦lwo{ƒ„ sCDoull mnsrule}er‚w|ve2moDz nm lwgvd Œsu}p%9{VSyx |rW|{'ˆ7m sz8Fl25a sF23gfb7mDŠd }{ t x z u j v) a b c A (3,2) (3,0) (2,1)  ¨ s{lh&3cl—†|v{9yxsr}u†{`ulc‡rsDCw–ulevq{9zszRlx …„T)el„ D„e‚ q3dDC2lˆ‡nm†zv)}nl2†„v††zƒv)V D„ˆ‡e2m‚`Dq{uumszmn…ell s„F‚iwlsveƒŠ†t “ v9wl‚x9ƒuxRs{|„`Drl q{2szz`l…l…s„|„ulDrs{wt |vr|ru 2m{|TDm  umnm wlvgssŒ|lu}r9j{ yxlw|rŠ|{ƒ oulmCD nmsrlwe}eƒ‚wX3|vnm2mulDzrs w–evd 9zxR†~QWo„ muW ersˆ7wl8F|v252msF†eƒ23b7€a el‚ v ‡ b l2gz†Œ†voers2lD|wlƒ a r ers2lD|¦h‚ ƒj j b luqse2|e a †z)hp–xR„ wlgsu}{9y|r|{)2eŠsl wle†“|vugŽ€|vq9yr9qŒ { zl ‚ r v „ vŒ x m l z { ƒ mm  { zx x W‡|v†{u}†v †ƒ {e gf(Dm‚ Š9eˆxd ellco†‚— evnmz ulerer†“s†v†ƒwlev†ƒ†ƒqvs…o”m„}ln~ nwllwƒ)DCDC2l2l†z†z)|„|„rrssuull s{s{Š)) bcb r€ aa x ‹ v) }Š ƒv} @!3 ¡ ¤ ¨ 6¤ % % ¨ ! ¨ ¦ # ¨  ¨  © € ¦§ ¤ ¥ ¢ £ ¡ ‡ r ulergŒ2A x €el‚ wl9ƒR|„Dr2€l…|„Dr u2mDus|lvwlƒ ulrse–w‚|v2mzDntz T †˜QW W ˆ78F25sF23b7a  ƒxz mj 5   wlz „ƒ#X3srW‡wl|vsz{†wlDvhvuu‚hr9r4H…hezŒqx‚ ulnl†{DtDvx uhr4e{5‚ @el ul‹†“ r |vel{o‚ †ƒv (2szwlqhvu~u‚um9rDrqxw)†rh|vul‚{HDv†{uluDz†{hrDvu‚mRhruCRszl q{‚ DclEe—l ‹DDl2u¨f…lm t2292m¨fqx2t†eƒ”9Œ  l qxR{Œ qecllsz q{e—zsDclue—oDm 2muŠeƒm† 2m ††ƒeƒ‚vih{‚†ƒŠiv‚cliheŒ‚{Ši~ Dzulw†reƒ|vŠrszswlwl|vhv†{Dvu‚9ruhrqxx‚Œ Œ { ‚ lf ƒ4 vulhrD‚„ ˆxtRsrlw|v†{Dvuhr‚ ez 2(qyx…2mDzumgŽeex q’‡ ™ el‹nmluer†“†v†ƒevqn~‹nmwlƒ DCcle—DurW5 v2†ƒv‚‡ hi†{gv9Œx X(ms|l3 jel€s{lŽl wi {Wsƒl2q€2l~ Šql ) Rg‡~ nlwl9ƒwt‡svxRb utnmsr|„ulelDrh{qp2‘pl Š)lƒz)…el•{s|„‚…DrTl ulmn†u { ulev2mer|Dem1uom mx nƒ wlsvg2m|lsŒ9j z u}x2ln9{…|r‚‹DCul|{ulmgmq{Žszszeull eamnu}|mergfmDszŠTd ‡h‡r€ ‚} (4 ‚ t lT e{e”el‚ szwlhvu‚9rqx”wl`s{lUX3e{e4ezŠsr2lqu~9rxR”el‚ nmnl2t9zxA¨f€nmwlˆ‡Še{ƒ esrul“1wm)ezv †„ohvsr–p2lRqx ”9r„ u~ elxRŠ€|{„‚ mnell Te{‚ mnenl2t“49z9xAx ¨foert mnswlulT†ƒ r |vsr4ul{ mwh)‚v •†„evu |v†z{s)ntv |lo†j„ e{D“s ( clk— “ Œƒ “  „ t g‡wl†ƒ9ƒAx“ x ƒosruls{¨F|r9r)lmDmxAo†{|vumm2su}Š2lzD u}D{ omw9vgxe—9R xr tx Œ g‡l„ nhu}†r‚ |v1eŒl{ c zsDzlwevweƒo“ '|{nmsz€ll whvlw†ƒu‚9ƒ9rxAqx“ŠWlkx k bb v†vva a ˆ|moee€2De)x iF guDntTwm9xge9R„1h‚‹ceDweU†ƒv Xowm9xR9uj¤u{s¨|9x 4(ƒ w v {  “ t z ‚ ƒ ‡}{ v — x  l Œ z ƒ  (m v „x l Frr l 2l€ z Œ ƒ&3ls{ u}x D{Œ } t { Dzm Ž“ v hRƒ‚ clr eŒl rDz‚weƒx €t †ƒl v X(‚ m } vu}†{“ †v†ƒev“ 9“ xAr D“uerƒ …m ntr clƒ n—x xRzwl†ƒ9ƒv xA‚ r“ x x ƒ) uls{¨F|rl9rPtxf zs wlhvŒ u‚3 9r{ xqz )WlWkl ‡ v b l  X3{ql sz…ls„cl†— |vrs{ntŽl|nml ulvr a l wl9qs•|nl•†r|{`wl•suhDˆ`e€u†{†v†ƒe9xADue x 7uDw9swlhu9qŒ h‚ b 2¨29xqhXqsl…„sc†—|{stnŽ|mnur a u†{vDuh‚‹l u†r|{ †{sri DvAl†{u9ƒBAmŠvAx†eƒszsr)cŽl l eŒ†„|vDz…hm weƒ‹‚eroDere{ŽssullŽ†r|v2mT)Dz { e{uwlXgƒmeŽ“qvexeleˆ‡q‚ q{xvszszl…c‡wlhvi u‚s„†{9rul9ƒs{qxxAw–Œ szeƒlŽ)PDAklW „ ˆ‡neze{‹)et  †rsr€|{“|vulelDr†r|vu4m‚ )sz†{DvDwlhve…u‚ …9r‚ u}†rqxer|vŒwl{s †ƒhsz9ƒ”x‚wlAev|“2l)D{“ ¨fwul2t|r 9šqxus{F Œ z e{l# sŽl†{‰ Dv u"!mA†r|vb…&3)#T{ ul†{Wl|‡kDvuhrpTg‡)¨f‚2lDul 382t(†5 {9vDg&qxu Œ `(ullrsQW†{†rvD|vWom{u e{ˆ73&s8Ful25Žl†{sFDv 23u†ƒhrb7v 2(1q‚ a l~ m { 5 S ers2lD|j wlƒ erDŽ nmulh{‘pv)„ nmwlgvsŒu}9{yx|r|{m sz…wleƒ†“|vumgmŽB|vq{9zyx9rqxŒ…u}†{†v†ƒ|ve{ (9ˆxlc†—ev‹erswl†ƒ†ƒ’v€ s…erl s)2l„ lwDƒ ||j { mnwlBoƒƒl serl2D  f qb™ a l ‚z 5r πG µ=1 π D πG > 0  H M B G (2,0) (3,4) (1,3) C (1,1) (1,2) (0,2) B (2,2) (1,1) (2,0) r r D (4,2) (2,3) (3,0) µ πD ¡ ¦ ‡Ÿ€€ œ ™ €˜‘˜‡•— – •”“ € ‘‡Ž sŠŠŠ‹dŠHžp8›šd‚‹‹HŠ„„¦Cd¨Šud„’u‚H‚„H‚ Œ„‹‰Š—„‡d„g„„d¨‚— ‰ ˆ  †… ƒ€  x ƒ‹ž{|DrŽe9yxr•9rxAosrulq{sz…„)D„ d 5 ers2lD|vl2qD~xA¨fŠel‚ |vq{9zyx9rqxŠu}†{†v†ƒ|ve{ (9ˆxcl†—ev•erslw†ƒ†ƒsv…‡l gulŠq{„ wlzs7elƒ |{n‚mn}nWltnsƒu}er2lf Dzwqb|v™|{a nml2q~ l l j t Œ‚z d ˆ‡ers2lD|2lqD~xA¨ft le€nlw}svwtuumDmx b nlu}sr}Ž|nml a u}†{†v†ƒ|ve{ 4(ƒ•s{lgfDmŠeel‚ uler†“†v†ƒevqn~} 2lq~wevez (4Trsulwm|vrsu}s{Dtxy9rx eb € a j ‚ xd ƒ g‡nl2}†z)D„e‚`q{sz…s„uls{wt|v|r|{mT|{nml (2€wlgvsŒu}9{yx|r|{m 2lzes2t9sxDv2qu~erDŽors2lq~w†veƒhpx bcr a vl z  % ¨§3 ¡ ¦ ¦% ¨ !  C (6,0) (4,5) (5,5) ¨¦ ¤ ¨ 6¤  ¨ # ¨   € © ¨ r € ¤ ¥ ¢ £ h‡(ulerg2ŒA x €el‚ wl9ƒxR|„Dr2€…|„Dr 2mDus|lwl€ulrse–w‚|v2mzDnz T € ƒ zl u m jƒ t ! Dh )5 1 ‰ ¦QI5 0h†aiu2G875 2}d)†…sDd3„…Gc H'•GD A79 s7A3|8Q5QBA5bT{2x…S I (9 ¢4VVS W ˆ78F25sF23b7a  v q{DCclsz…Dle— e„Žg€| Œ 9rm2cx D ez— a”‰ b †velv aXerDs„wl9ƒX3gxnmulŠq{— x 9z•Axƒ el†z)DmD„xAe‚ b2‚q{szszlŽl…se}s„ul‚•s{2lwt|v)|z r |{sm |la AjnmnlwltogvsŒelu})yx‚ 9{ gf|rDm|{Šmx ¤eld ‚ŠTq{‚el zsul…†“ler e„†v†ƒevg|Œq9r~n(x } ezB‚ q{bzsv l…s„rslwul9vmwAx†v†ƒ•e{|v lw€‡72lblweƒq†z)7s„~)h„srelulp–|rqpRq{x l`zD„€9rAx el‚I ‚ vX a ‚ ƒ ¡ wb q{9zgx†—ev|m wl†ƒeƒq€l…)D„um ’s{l wl9ƒR|„Dr2€l…|„Dr u2mDus|lvwlƒ ulrse–w‚|v2mzDntz T z„ l x z mj a b c d A −6, − 6 −2, − 7 1, − 6 1, − 1 B 7,7 0,0 8, − 1 1, − 3 C −5,1 −1,1 1,1 0,0 D −1,8 −3,1 0,0 1,1 a b c a1 b1 A (3,3) (4,3) (0,6) a2 0 −1 B (3,4) (4,4) (5,4) b2 1 x x W 7 5F37 $VS W ˆ8F2s2ba  ...
View Full Document

This note was uploaded on 01/23/2011 for the course ECONOMICS gt512 taught by Professor Breviart during the Spring '10 term at Télécom Paris.

Ask a homework question - tutors are online