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Exam II 2011 Solution - #$#$ $,$ $/$*$ $...

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!"# %%&'()# %%&'(*+ %%, #-./ ** 012345.67 89:;/<;3 =>7 ?>== "#$% &'() '&* $+),* -------------------------------- @8AB#CA *8 D#8!*E [email protected]+0 (# AF()*00#G H+C C#IC[email protected]# D.3J @K C;L9/<MN.NJ [email protected] O?, P9MNJ4Q "#$ '%) +%.,&/ +# 0,&* ' /)&) +1'+ .#$ &'()* (0/2 3 / . R '4#%,+) S )&) 25 6$7+ +# 8) 9:)'%;< =1,7 /)&) 1'7 :,>'7) '9+,4,+.5 ,+ *)/%'*)7 +%,/:.9)%,*)7< "#$ )?>)9+ +1) /)&) +# 1'4) ,&+%#&7< 2< @)79%,8) 1#A .#$ A#$:* ('B) ' 7$,+'8:) :,8%'%. 0%#( 9):: )?+%'9+ +1'+ A#$:* '::#A .#$ +# ,7#:'+) +1) >%#+),& 9#*,&/ 0#% +1,7 /)&) 3C >+7;< D%#(+1)9)::)?+%'9+5 M49T.J;/[email protected] +#):,(,&'+),&+%#&,77$)<E7)+1)(FGH'7 +)(>:'+)0#% C0UD!CJ99<[email protected] <@,/)[email protected]+# 9<[email protected] R3.S/;NJ4 '&* MN4;3JMNJ9PT.4/M54.N5J3.N4R93/MNJ9L;TT4 < I< "#$ '%) >%)>'%,&/ +# ,7#:'+) +1) /)&)< J%)4,#$7 %)7)'%91 1'7 ,*)&+,0,)* ' 7(':: @GH 0%'/()&+ +1'+ ,7 9#&+',&)* 8. +1) (0/2 /)&)< K%,)0:. *)79%,8) 1#A .#$ A#$:* ,7#:'+) +1) /)&) 0%#( +1) :,8%'%. 3C >+7;< x DT.J;6923L;TT4L9NJ.MNMNSJ1;[email protected]<3.36 +#/)&)%'+)9#:#&,)7 x L'B)' 3;PTML.9RJ1;PT.J; #0+1)9#:#&,)7$7,&/&.:#& RMTJ;3 x *NL2<.J;VMJ13.5M9.LJM:;T.<;T;[email protected]<; 8'7)*#&+1)7(':: @GH0%'/()&+,*)&+,0,)*,&>%)4,#$7%)7)'%91 x E7) -3.6RMT/J95;J;LJ +1)%'*,#'9+,4)9#:#&,)7 x =%'9)+1)%'*,#'9+,4)9#:#&,)7 <.LWJ993MSMN.TPT.J;
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D.3J (K [email protected] @N.T64M4 .N5 4;X2;NLMNS O=Y PJ4Q U< [1,91 #0 +1) 0#::#A,&/ ()+1#*7 9'& 8) $7)* +# *)+)%(,&) +1) '(#$&+ #0 ' 7>)9,0,9 (FGH 3)</< (0/2 ; ,& 9)::7 3I >+7;\ '; G#%+1)%& 8:#++,&/ 8; Q#$+1)%& 8:#++,&/ 9; O,/1 +1%#$/1>$+ 7)N$)&9,&/ #0 [email protected] *; H:: #0 +1) '8#4) 3H5 K '&* V;< ;Q @ .N5 ! C< @)79%,8) 0#$% B). '>>:,9'+,#&7 #0 1,/1 +1%#$/1>$+ @GH 7)N$)&9,&/ 3U >+7;< ,< @)&#4#7)N$)&9,&/#0&)A7>)9,)7 ,,<Q)N$)&9,&/*,00)%)&+,&*,4,*$':7+#,*)&+,0.*,7)'7)/)&)7 ,,,<]$'&+,0.(FGH ,4<@,79#4)%7>:,9)4'%,'&+7 4<@,79#4)%7('::%)/$:'+#%.FGH7 4,<@,'/&#7),(($&)%)7>#&7)'0+)%'&+,/)&)?>#7$%) 4,,<Q)N$)&9)(,9%#0:#%',&4'%,#$7+,77$)7 =1).9'&1'4)0#$%#0'&.#0+1)'8#4))?'(>:)7< X< @)79%,8) +1) A#%B0:#A #0 F#91) UCU 7)N$)&9,&/ 32^ >+7;< ,< _)&)%'+) [email protected]/;NJ4 #%71)'%+1)@GH ,,< @JJ.L1 R3.S/;NJ4J9<;.5 ,,,< #/2T4M9ND!C '(>:,0,9'+,#& ,4<_)&)%'+) /2TJMPT;L9PM;[email protected];3<;.5 4<J#7,+,#& <;.54MN19N;6L9/<V;TT4 4,< HT9VP9T6/;3.4;4 '&*)&R.()7'&*&$9:)#+,*)7#4)%)'91A):: 4,,< *RN2LT;9JM5;M4MNL93P93.J;57TMS1JM4S;N;3.J;5 '&* *)+)9+)*8.
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