prac4Asol

prac4Asol - t r W X W e y C $e0 X w Wc` CB rDj W X CB wWDj...

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Unformatted text preview: t ' r W X W# e y C $e0 X w Wc` CB rDj ( W# X %# %# CB wWDj w c ( X e r C B G B a G 8 a 5HP$DPjv%b$o ( X 9cHP$Pt`w9DF C B G 8 8 I G q 3 C 8 B A B n } Wk 5 Wk i $ W } ~ g ( )W } ~ w } } PwwmWk V 2P 8 `C`cs $$0 8 I } r t DBFWs8cIPGdr t' 3 # } ~ ! 8cC`8cIy tPpqPp i U } ~ 5"0 } " WqfDjf X CB "" CB fWffDj 0 X ` X G 8 A 8 E 8 C 8 I CB vds`ccfWffDj X 0 0 X w 0 bp "q# i p Pjp i p # y C Wwcxq`0 } ~ ! } X 8 C 8 I p # `ccy bqjp i } ~ 8 a A u 8 I G a 8 yB C x PWscPr`cDjcyw0 r 8 B G a 8 C G C B yv 8 u 8 I G 8 C 8 I wHP$jvj)c)DwH9Ps`ccs 2& c '9 $` y C t T n 1( ( X # ( V# G 8 A 8 E a 8 I G 8 A G A CB I G q a 8 vsdrvcP`PcDcPVjvw`8 AHPjWpm7( ' )`c8 m$ ick`ddd"@$DPqw"`jdcPPH)E CB G G o r n 8 C l r ih G 8 A 8 E 8 3 C B G 8 y C 8 8 I G I GB A CB a cDP$qej i1( c! gcfb d( `WU g vdE cHP$b`PC Y ih G 8 A 8 g A CB G a A 8 G X # g C 8 I e r i X # T '( X 9 g # V# 0 g g ( # ! T g ( G 8 A 8 E C B G 8 8 3 8 I G I GB `dDP$"@$cPFPH)E T T [email protected] Pq# @h( V# f r p i g G 8 A 8 `edE A CB G a A 8 G cHP$b`PC Y T '( XW# ( # T W# 01( T US R V# Q I GB E CB A 8 3 8 6 3 PH)[email protected] & 0 ( 2'%# 1) ! & # '%$"! 18.02 Practice Exam 4A - Solutions z S r ||||| z{z{z{z{z{ {z|{z|{z|{z|{ z|{z|{z|{z|{z|{z| z|{{{{{z| z|{{{{{z|z| ||||| z{z{z{z{z{ {|z|{|z|{|z|{|z|{ {z{z{z{z{ z|{|{|{|{|{z| {z{z{z{z{ z|{z|{z|{z|{z|{z| z|{{{{{z| z||{z|{z|{z|{z|{ {{{{{z| zz|{{{{{zz|| {z{z{z{z{ || || || || {|z{|z{|z{|z{ {z{z{z{z{z| z|z|{z|{z|{z|{z|{ {z|{z|{z|{z|{z| z|{{{{{z| z|{{{{{z|z| {zz|{zz|{zz|{zz|{ |||| |z|{|{|{|{|{ z{z{z{z{z{z| |{|{|{|{|{ z{z{z{z{z{ {{{{{z|z| V " CB fDj`i X ( X a 8 G vPW X X X CB )Djqi U V% b ` a' Y XW4% I I k CB $ )Djq` X ( X i % R Q H R Q i X S TP P V } ~ % } T i a 8 C vcC Y CB $ $ )Djq` X G 8 A 8 E 8 G CB y a a v A CB vd`P$DcP)$ @cDj # )V # f( X X i # ED' CB' H F G r # y 8 G GB G 3 8 E 8 a 8 I `PWPHPWjd9Pv)E %# f p i Pp q# i p # p T T ED' CB' 8 C l r c`8 kb # i ( V } ~ # f p i p # p %# fV" V p fW " t f Hj X CB y a E B 8 I e jgP$crDFW9ew X " @9A7543210) ' 86 ( ( X # G 8 A 8 vdE " A CBv 8 C x cDH`cdr %" # q` 8 C 8 X `ccI c X X " ! " $ X w ( X i ( c# X ( X t$ y C $$ r $ q 3 e 5" " & " # ck 8 C 8 ``cI ' t } t } w Wk 0 V } ~ U } V 0 # ( V PqPp i p # bp p i t k } } ! 8 C 8 I y a E A CB G CB v a C 8 I G [email protected] } ~ i c } } U W } ~ } X 8 a 8 I G 8 G q `PcPw Pgd $$ # # ( } 3 5" CB ( CB t ' w PWVrDjdDjWW` i V X ...
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This note was uploaded on 04/18/2008 for the course 18 18.02 taught by Professor Auroux during the Fall '08 term at MIT.

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