final-2004-winter-solutions

final-2004-winter-solutions - d5" 5 5 $"QQ RS"...

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Unformatted text preview: d5 " 5 ' 5 # $ %# "QQ RS # " ! 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S(!A0A')0' $ $$ " 2 " ' ' ' 7 5 Q " $ Q " %#0 S%n!RdAarA RA(gRBR ru 0 " " Q Q 5 Q 5 Q' s ` 9 Q Q 5 5 " Q ' 7 ' Q $ " P' 0 H ' F C 1 " 0 "' 7 5 3 1 " 0 "' $ " 8)SR()&I)A2GEDB(%A(@98)%642%()(&%#! 5 " 5 ' 5 # $ %# "QQ RS # " ! C % 2' & 2 % ! & 2 (% 0 $ " Q 2 X 7 ' ' Q 0$ " 2 r#t A")'AR)V9 0 4S#& f" 2 $" " 0 2 Q 0$ " B9 (nRRX 3S#& 2 2 " " 0 1' Q $ " 2 ! ' ' rXeb %$ k!# #"9 l'QS0$#"& 2f #0' "))# )QAQR # 9 e5R'#%5!#0 (S0#& 3 $ # ! ' X $ " Q $ " 2 $ " # )Q'AQR # ee5R'#%5!#0 S0#& 65 V U X u X h dgBa a6As 9 I IsQ` UedI66`paBe9 g !HRA` X sQ s u G [email protected] U a6AsDr B g G IsQ` u 9 E u X RIfG 9HRf!g Ba RPG76G Aq@ Q h QIG I QI Q9Q ( Rru ' d 4" fR!( #VAA)2#% " 0' " Q " 5 7 ' Q $ " P' 0 H ' F C 1 " 0 "' 7 5 3 1 " 0 "' $ " 8)SR()&I)A2GEDB(%A(@98)%642%()(&%#! 5 " 5 ' 5 # $ %# "QQ RS # " ! C " R$ Q Q' (RS)A A)mRRVAS Rt((A!V)2n m&zz " 0' $ Q 7 5 $ $ 5 0' Q " 0 " " ' " 0 5 Q 5 " Q 5 R)63 ! 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C 5 " ' 0' t())&!Rz)R$ IG9p Pvrb IG9p Pvrb IG @ PvQ v IG @ PvQ v PvrQ Y IGQ9 [email protected] IPG Qa6vR I Y PG t 3C Q " (7 Q " (7 Q " (7 Q " (7 Q " (7 0 Q " (7 Q " (7 5 (" " 0 A' $ " Q (% 0 Q' ' Aw' 5 0 # 0$e5(A")Q)&(R% GR6 #2eS0 G5 #R(z(%A0)'#椢mg3 ' ' $ " " 7 5Q 2 $ " P " 5$ " 0 " Q " " 5 " $ V V U !g AxfaxBfFg ArqHqAxt 63BR u ` 9 [email protected] s` @ E u ` 9 p@ G Y 7 G 8 X V uv Pv9AbY g I xRP3A eRqy c Aq3 e!AAQ xs qAxt 63BR U IG Q Q 8 QIG s y QY `Q@ E ug `Q9 Y GY 7G8 X V U [email protected] qxP3 y Rq5y bAqx e!g At Y qAxt 63BR u IGQ98 I9s I8QIGs QY c`Q@ E u ` c GY 7G8X E 7 @I`QS` Q`I98 @@98 Y xbABaHrba3 RAa67 V V u Pv9rb gq8xRPv eR 5y c AQ x g ArqHqAxt 63BR U IG p I QIGs y Q Y ` @ E u `9p@ GY 7G8X V U [email protected] g q8xP3 y Rq5y bAqx e!1qv6s qAxt 63BR I G Q I Q I G s QY c`Q@ E ug Q@ GY 7G8 X V uv Pvt Y3Bg q8xPG3 y Rq5y bAqx e!g At Y qAxt 63BR U IG C I QI s QY c`Q@ E u ` c GY 7G8X E 7 @@98 FRY RAa67 V V xPd `IG8 U u ` 9 [email protected] @ s9 !g rrfxaxc xPd !g Arf1xaa@ `IG8 U u ` 9 [email protected] 9 I` xPd `IG8 U u Q@ y @s9 !g qvas xaxc xPd !1Q vas 1xaa@ `IG8 U ug @ y 9 I` # `rf8 g AAbrs y xs xc IG Uu `Q9QY @ 9 xPd U !g ArQ rs 1xaa@ `IG8 u `Q9 Y y 9I` `xPd !At vcxaxc IG8 U ug ` Y y @ s9 xPGd `I 8 U!g rt vc1xaa@ u ` Y y 9I` U g Q`I9 u!1arba8x`rI xa9xc xbax @s Q`I98 U ug !17Y %r rIa6RY `I 9 `@ 7 E u@ s I sQ IG GYt GQ Q 7G8X Rxa9HPG3 g Px9xc [email protected] EqrA [email protected] Q@` @ 98 G8X i ru ' Q 0 ' ' 0 g ()#g" S%) )A2R(" R Q Q 5 0' " $ ' Q 0 7 ' Q $ " P' 0 H ' F C 1 " 0 "' 7 5 3 1 " 0 "' $ " 8)SR()&I)A2GEDB(%A(@98)%642%()(&%#! 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This note was uploaded on 06/28/2008 for the course MATH 381 taught by Professor Drury during the Fall '08 term at McGill.

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