soln05 - ¼ ™ ¢| “ £z#¤h31 “ ¦‚‡r»5E2hrxHT ¬...

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Unformatted text preview: ¼ ™ ¢| “ £z#¤h31 “ ¦‚‡r»5E2hrxHT ¬  ¨7qhXA¢rztXg k y n | t m k y c d WB a @  d W 8 k u4 Dg4 s gW D 6W D s D G g a 6 tm1 k u 4 g @d D 8 4d 8 B W @ @ Wg D s c g a s t ‰1 º ¹ n t ‰1 º ¹ x D @ 9‚q˜A}Sh3lfXq5EDhf‚X%X‡E2˜Cgr˜‘œ5P¢q  Po « 3u(¥Shm « 3u(¨XtE6 u 4 @ @d4 D s u 4  TD F TD 8D F @ DdW g @dD 84d 8 BW @ @Wg g @ 4g cggD2 4d 8 64 F TW 7£CT7EvX®S7¸5A5‚5ET®r¸5EDhf‚XhX‡E2˜Cgr˜‘Cbh¢5h‡5'·XAXd I d W T @   g —@ ‰  hrA7C4r„W ˜‘(ƒ EgH—Va ¡  b† ‡ m ‚ „ ‡‡ z`ArEWrX%7z7XAµ‘‘X‘ze 7fq5¨i ‡‡ ¦hm W m ¶ m  EDB ƒ G @ d W e u 4 D v T W s 2 W D F W 6 D ˆ D i D d D s m ‹ t  ~ n ‡m ‹t‡m1 ‰tm †‡m  ~ n tm1 ´Š‡ m3‚ˆ‡ 31 œ€ p’¦Š3‚hhd31 ‚€ p%h3lk ‡ 1 ‰t ‡m G Ÿ‚x ™ @ i I ž u 4 4 d 8 d B 8 @ g s 2 a 6 ‚(w8 q—P 7'˜ ‚5CDx‘E6hqA}± ”•  ¦`›1 “ `›1 „ ‚“p%h37¢k #fh31 “ k š‹t š tš  € ~ n tm1 “ n | tm yn z#| “ ³‘rA‘‡htf`Š±‚‡ 3¨²SŠ‡ ±‚3œ‘rApfX3“XEWVCeh‘REThg ° k y  W s D Dg D i c t‡m † ‡m1 š n t ‡m † ‡m1 š  W s  2 Wu B @ @d D s v @  `ƒ (ƒ  „ „ t ‡‡ !† ‡ 3œht ‡‡ 31 t ‡ 31 ‡‡ 7‹ ‡ ‹ œ€ — ‚€ — n m m1 š m m mm     „ `ƒ „ `ƒ | ‡‡ 7¦t ‡‡ 3‚t ‡‡ 31 ‚€ — ‡ 7¦t ‡ 3‚t ‡ 31 ‚€ — y n | “ £y m ‹ m1 ‰ m m ‹ m1 ‰ m k   DeW s D i c F TW s dD s4 D s T 7‡AqfA`XA¨fArqRS‰  h‡5'hrA7E4r˜g ggD2 4d 8 IdW T @W W¢g ˆ‡w@phX‡5`¯fˆ‡ 3‚Š3‚£‘X5‘Š‡ ®P3¨}h—f¤7C4rAPjSj‚r—AT ¬ Dg a W 2 D G | t ‡m1 ‰t‡m1 ‰ y D 4 T D F 4 t ‡m † ‡m1 š Dg a D i g T @ W a ­ D D e 4 G W D s  `ƒ (ƒ  „ „ t ‡ !† ‡‡ 3¨ht ‡‡ 31 t ‡ 31 ‡‡ ‹ ‡ ‹ ‚€ — ‚€ — n m m1 š m m mm    žž ž „ ž „ ž ž `ƒ (ƒ t ‡ m † ‡‡ m ¨ht ‡‡ m 1 t ‡ m 1 ‡‡ m ‹ ‡ m ‹  —  — n 1š ž ‚€ ‚€ ž ª m †m m d© ‡‡ !¨§n ‡‡ m d‡ !¨§n ‡ m «m †m  `ƒ (ƒ  „ „ t ‡‡ !† ‡ 3œht ‡‡ !œ31 t ‡ ¢“31 ‡‡ ‹ ‡ ‹ m m1 š m † m m †m mm  ‚€ — ‚€ — n   `ƒ (ƒ  „ „ | m1 ‰ m1 ‰ y m † m ft ‡‡ 3‚t ‡ 3`¦¤t ‡‡ !œ31 t ‡ ¢“31 ‡‡ ‹ ‡ ‹ m †m mm  ‚€ — ‚€ — n    „ (ƒ „ (ƒ | ‡‡ ¦t ‡‡ 3‚t ‡‡ !œ31 ‚€ — ‡ 7¦t ‡ 3‚t ‡ !¨31 ‚€ §y n ¤h31 “ ¦y m ‹ m1 ‰ m † m m ‹ m1 ‰ m † m | tm k  —  | “ k¦y‘n#|¤h31 “ k¦Žjhhg ‡fED¥‡4  ¤h31 “ £z%h37¢k w‡C2AP75I ¡ tm y i 4 sg ˆ  B i ¤ | tm k y n tm1 “ I @ @ F 4 vd D Ÿ‚™  „  ž ˜ ™˜ – • n tm1 “ – tš “ `›1  — n š‹t š œ€ pR¦¦‚›1 — ‚€ pn “ 0%h37”k š‹t š A¦¦`›1  D v @ F W Dd D i c o n tm1 v @ i 4 T f7RwIEBX‡pfV0%h3lk ACT¨jqi  5¨Ct74 DdD s @ 6 D i W  D D g s i D @ „ d D (e ƒ 4 t m 1 k v @  W d v D  @ I G B  2 D @ „ F s  D e 4 d 8 4 B W T W 2 D T f’EB@r5Fph74¨VcXtE6f5‡„h3l‘ACTrX5ETP‘CIf‡wdA¢(ƒ@Eg —7j9hCgXHX‡pS‰   oŽ¤‡¦t ‡ 3‚‰ ˆml†„31 …‚“¤Œ}Š3‚{zˆl„31 …‚“S}h3l{zph3lk n m ‹ m1 t‡ m  € ~ n ‡m ‹ | t‡m1 ‰ y t‡m † m  € ~ n | tm1 k y n tm1 x I @ F vd u4 D ‚w@‡C2'47fD“XrC8B5AsqDsHC¨¨CgtAsrjqA#‰  p„h3lk jhS˜hg ‡fD f Pd1  s @ i @ s 4 F T W 2 D T o n tm1 i 4 sg gd g ˆ  e t W C™E@'˜5X7—`‡D € CDSRPG 9fCCB“(X‘C6A¨Sg ‡f‡CDY †…'„‚€ @ UgDd4 e – @ B • I ” dD @ ’ BW @ 8 ‰ ˆdD T @  ƒ  yw Hxv tuDdX4s¢qr8CpRPH5hEgVf`b`XXVETSRPH5EDCBA97531 T @ i IG FD @ eDd c a Y @WU @ Q IG F @ 8 642 )  & § $ "   ¡  ¡© § ¥£ ¡ 0('#%#!¤¨¦¤¢ ™ r ‰F†¼ qs‘Rg¢‚›š1 g™™ “ ƒ š d …¥f | | š 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zVPE4¤aXq5X»r„YX»S• W '„‚€ w ‚Vy ¥  hhCgqwh7‚ArqHµC2A¨i D ad @ D @g4 8 84 D s s @ s d 4u Dg 4 D s g Dgg Dd 8 8 ag F T W s @ s @ @ W d D @ 4 T 4 B W T @g D s s @ s i d 4u g @ 2 T D a ­ Dd XŠph75¨‡hh5hHArr7Cv¨Eg9E4rphCg7‘`XA7CvhqARµC2A¨hrŠ¨5ED5‡P‡ˆu s 2 a g g d 4 e W u B D T d D U W s 2 a g s @ i d D B g W D g a W 2 D G c s v a 4 s  c g a @ e G 4 @ D U W 6 B B8 a 4 Ah¨X7‡3‚5579rhsw¨¨fCA9}hXj5‚A`77x57E4VPX¨Cqr‘6s@ CFA6XAh5s g T @ @ a @ BW @g I s 8 d a 7C4CET¤X‡E2hVAz#‰  XE4rEWA5E2rj2 7C4r»u7b„AX‡5hs”±CFAX‡¸7%c DCAP4 U– T @  B a B W T @  W@ d W e žF T 4 2 D g W 4 F B a 4 2 D T 4 4Eu}t zC6@ € ‘t—5weE@5®CICBXA5rh`›1 7}‡C27µSCgA¨rA jh¸œq @Wd D s 4 6 a W 6 W gdD BD F BW a2W t š u4 D @4 s2 @ s W s i4 sg 4 Ÿ ‚™ tš `›1 ž Tm RPH%‚›1 ž „ tš ‚›1 ¢ S ¢ Q I ¦ n t š ž„ 5 D e W s g a 6 D i c t š  I T W d 4u s @ T W e 4 E 6B@ 8 6 2  d 4u  W s D Dg 5x#˜zpf‚›1 GPr#XŠ®hCgX7‘ FDCA94 7– 3(XŠ¨uxp5hpD Y ™ ž„ ˜ " k k Ÿ“ ‚k 1 j¦j¦©´ )0›š|q”™ ¦›šy 1 ž¥ „ † ‚›š1 ž ¢ (‚›š1 &¦‹ œ€ — %“ º | ™ “ ¦y n #“ º | ™ “ £y ! 't š  $  t `1 ` t t ž„ ž„ ž„ g D @ FWDd D T4 ct š  ´ t š f7vRCIBCXjp7`›1 ©(‚›1 t ‚›š1 7E4rEWrX(EBXth9¸CTVr¨q T @ @dWe BW 6g W v @ UW Ÿ ‚™  „  ž  š ‹ t š t š œ“~  “ p™ ¢¦y  €˜ “ ¦¦`›1 “ ž ‚›1 ž„   º n º | “ k  š‹ ¦ ´ t š t š ¦¦t5¦j©(‚›1 ¤ ¢ ‚›1 1 ‚€ ˜ ~ DeWs ‡ApD Y   ž ž„ ž ž „ `ƒ ¥ ˜ ™ „ (ƒ š¦¦t5¨¦u¦©(‚š›1 ¤ ¢ ‚›1 1 ‹ ´t tš ‹ ¦ ´ t š t š n m ‹ m tm ‚€ —pnRš¦t‡¦¨j§(`›1 ¤ ¢ `›1 1 ‚€ ž — ¼ “¦hžt 31 ¢ h31 ‚€ pn  — ž„ ž„ D eW s D i ctt š ‡Apfh‚›1 ¤ ¢ %`#˜1 ¢ « ‚›1 ¤ ‚S˜1 ntš† tš ntš†  2 Wu D s F T W c 6 Dd 4 D s ˆB W e Dgd W v @ t G fX3 Ar„H5X5‘g 3XX5hr“¡EThg ° `Š1 g a s1 B W Dd s 4 G Dd W tm ¢ tm PŠ—X‡±r`‘r}h31 £« h31 „ … ™ F d 4u F T W d D v 4 P I ” g T @  W a  2 B ’ I @g T D – B W @ v B 4 6 g 4  ƒ  VXˆAr»B ¡ 57X#Q'G ‘AXE4rAfACa“RwhA5—(XjC277C47th7¤` †ƒ'„‚€ y  tC6tg™ ETXX57‡#hXh#Xˆ¨fhf`G D @  ™@ v W d D e W  d 4 s g d 4 u d D   D v ¥f gC‘CC@EBAr˜tPE45S¸XVc r h d g R5Pc “ r d t r F†¼ 1 @ I @ GWg U2 B2 D s F TW • TD s 6 a d  2 D 8 g ™ XW i d 6 4 F T W h55‚˜¸CUp™ ¢d!XAXd B ¥f W}XAs q Eu@¨HtC6HET7Xf‡f7}‡5`fETqEg@ g b5A(c r d t r F†¼ 1 gW GD @ v @vWdDeW u4 TD F TD 8D F @ • TD s 6 ad2D 8 Ahf5`˜g ™e D 4 ddD U I W gW hEg@7T yfE2@AF#XAs q EuxHtC6tACT7Xf‡™ ‘7E4¨XŠ¨fh5‚hEgHwE@CBxu˜H'E45q®XW @ G D @  v @ v W d D gW v T B d 4 u d D   D G @ I @ G W  g U 2 B 2 D s  F T f TDs c QI E ¥f 6 ad2D 8g D @ 4 dD @ s i W gW Ahf5`˜RhEg7T PC¨r‘XAs q u ¬ r31 t2 c r h R¼ d g •¦‡m ¢ RP¦ Ft r F†¼ 1  Dd T @ TW2 i s s D2 TD F TD 8D X47Ev®rjpDfHE2@¨ip5‡5`fF d r r‡fh57hXA®XH»Eu#fX¨7#f‚}'T U WD i IdD e g W s F T W I @ T a dD Fd 4 u 4 dD G 6 a gg B T @g TD @ F h5ED74Eh5tE6”WtEg@ 1 D5hHDf9P¢q  t … n D7»l‡¢‡£z¢'9 `hCg¦µC2A¨Š1 gis W2  T@ i W ¥ H)0r!5rj2PE4!TXE4fD 2AˆauRWg C5aB RW XˆdqP) 5f6d `4 CBdu@ bI µWs i zRs 'a4 p6  `4 hEg4 !ˆs E2¨‚s c ¼ @  s Ev“’ n W FDW B @ T DF 64 u TD D F 2a 6 4  ˆ T @ @s i @ tG ƒ  ‚Š1 W '¤‚€ x ¼ V7Ev¨’ Dd a @ y 0.05 2 0.15 0.25 0.3 0.1 0.2 4 6 8 10 12 9&$ 8 c I @dD T W2 D T 4 g ETl¨jhREDAXstXAlX„XAX”‘5rX5ET@ “ º ƒ @'%# ¡“ x 7ˆCu5e X‡R7‘S• @ T i4 sg B g4d 8 W gW s F TW cD T4 4 gDWdvD ™ p™ ¥f t r F†¼ 1 g™ ˜ ) • … ) ˜ — 1 ª e ª 53 ™ 4  …¥ ) t r ‰Ff 71 “ ¼ p) ¢ P¦ ¥ 6‹ ‚€ pn †I ˜ r ¥ “ i q g™ 21• n g • ™ ¥f “ º ¼ t r F†¼ 1  g F T g D T 4 c B W d v D  @ D s  ‘ …™ xp7A3XX5PCTqRET@ r wš  ‰¥ ¶ 0CDAr»rXœXq7XAµptET@ ) B G W@ d W e u 4 D v T W s 2 D s  v d r‘‘XV‡hrx7E4Vfh‘CT‘‡CTXX“‚›š1 rŠ4¸XE4hh5A8 € ¨qACThg ° `ŠG1 'ƒ UW 6 F TW cdW 8 g a @ eDd 8 D s @ FD @W G4 t d u T @ggDd D D s v @ t ™ ¼¼ ›t X7¼  1 ™ ¢ V„ž ¢ €x T ­D W D @ddW D i g a s Pj¢rqwehr}™ f¢P¢q  “  º ƒ g g „“ “ '%#  6 “ ( n “ ¢¢ `›1 ¢¢ 5we7quxhACaAPtqhXA¨i tš gD @v DdW a ­g g B a F 4 6 Dg4 s € „x  & $ &$ €x v   6D I ¼ ¼ Pƒ c “ ƒ € x '%!#’ y“ g ( ’ € x     n t m g c t 7¼ 'ƒ 1 F @ º g „“ “ "!“ g € „“ v %h31 Uf Po ¢ ¸V„X¢ ‚7©o ‘P‡¨ETg™ r¢a ¢ `A“„ D¢¢ Y ‡˜Vg ˜™g ž T W t ¨ 1 T ­ D v ™ hg c F T g V ž ‘ w d a 4 4  @ ‡ m … ¥ ” ¦ n t ‡ m F D D u D ¢¢ t š ¢¢ F T g 4 t š V7RCT“C™Aš †‡ “¹ §ª ¢Š31 q ‡5Šzfi “ ¤`›1 ¥AA¸‚q  ‚›1 “ ¤`›1 £¢`›1 ¢tš ¢ n tš „ T D s t‡m † m ‡¢q  Š¯f31 fCA”bETh}Š31 q 7ˆ¦5w ETXXtr£‡r5R‚lXj}h31 Uf d D B g W v @g a t‡m 6 4 d u F ‘  @™ W  G 4 g W F D F d W v D d D G T W 2 t m g D c D D s u  T @2D @ FDgg a2 @ F g • xt š ‡ € }“74 ƒ 'ƒ 7C455P¡CT”‡hh5hEg#Sh‚›1 v @ F T g u4 IW i D @W TdD BW T ETx“Xs5¢}CeuxfCr”S• ” A9 W C™C@V˜5rS`‡D € EDSRPG ‘wA5Cd¤` @ UgDd4 e – @ B • I ” @ a2 @ 7Pd `d e ®ETphEg74 z`Y'„‚€ W @ D@ ¤ ƒ w `Xy t H§ B 1“ RB W§ … ‰¥ ˜ t  1 @ “ B “ E‹  — n “ • B  D vž D i c g B a g D d D e 4 G 57q„ f5wAh5pj‚rW  DACTETA}7¤`  & s v @ @ G 64 1 R dD s g F T g D T4 cgDW i c 1  R n t “  '%$# ƒ 6  # VU v & ’  P¶ž  t  ¦ ²Tž D fA¨`t H §Bž ²Shœ¢1 AA‘7(5‡uxT d @dX'5¨rjC25A˜¸ACThg °  “ ‚¢1 „ “ œ¢1 ¨  n “ ‚¢¢Q H5X5#g dˆr7fhr%GI ¡ F 4 42 BW @dD s 8g v @ t t t 1 F c 6Dd4D s BWeDgdW  ž… ˆ ‰¥  ¨ ¦ n|t£ t 1 F t 1 y “ œ¢fQ  ‹ ¼ — ‡ © S¤œ¤1 “F  zn “ • D 2 T W@ d W e D s  g F T g D T 4 c  d W 8 g a @ e D d 8 D s  @  W s  4  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This document was uploaded on 04/17/2010.

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