Midterm1_solutions

Midterm1_solutions - I a SL R ~ = ~ a ~I Xi T U ~ XI G d Lt...

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I a) S L R ~', =:. ~ a + ~I Xi T U, ~ ~ ) X I G\ '"' d Lt, The rr C del , .. 1 ) J) If '1-,=( :::: f\ th ~ r\ L j" , ... ( x, - x) :::: ,.:. I c c - c. )'" ::: 4> .A ~, w', II b Q. l-\ f'Id e f 1 f'I Ie d . 2. a) No) /' ~ (D. 'g ~I) :::: b ) V fA r ( p ML': ) = Vo. r (0. % ,.. ~ I ) = c) G au S 5 M tAr k 0 v T~ ~ 0 re IY\ 5 t " tt 5 i h Cot t tA" d (' r S L. R I - 5 ('I f\ th e. Cel. S ~ 0 f s " "" r I e \1" E' 0..'" Y(! j Ie S ~ " () "') 0 r /'1 L ~ I- S- ( '" the.- Sly.( 'l.: l J · I x, j " ,)1". i: q 1,e, Ct ra"do"'1 5 Cj N'lf {e Sl.R. .3 Thv ., oS .$0""Q. V CA r', CAi lOti ," [ X , } :x " =1=-<: V 5LY<Lt: E ( u', I X', ) 0 V J I, ' , ) n :ry E ( U") '" 0 (-Q" ( X'.J \..(,) :::. 0 0Lf\S'. V ( IA, I X,) .::: J. 'v' 0- 1\ c..) 0 == .., /\ "L I ::: ,=-. /' X I lX,-x)lj,-j) '" - ):1- Z, l '1-) - )( :- I 1\ V L )(", , ) X .:: ;.:., " I .. 11<: :::: C. .::: "
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~ S t~, d t \) r.$ 0..r e. the b q 5 t I." ~ 0. ( V. fib' ,. s ~ J d ) Po.rt tb ) doe.s 0. b',,, 5 ~ d f S 1: / "" '" i I:) r 0 f ~ I b -, <:l sed e s 1:; t"r) q i<> r s (', tho I J s 4- R I 1. is th e o t h ~ r €.'1- f \ 0. n '" to r y 'V0. ,.', CA10 I, ~ j XI< ) ---- 3 0.) E 0. r 1\-' "j ;s w',11 ,nc.re"'5(: b1 0, 08 OLJ- X- 100 ::: 8, OLf. /0 b) Un', On ME''''16er Vv. II ('f' 0. k 0,.2.(,22 X ,00 .:: Q. b . :;) J ',/0 mOre. tOf\ r) () f\ - !.A",-.Ofl rr. p (Y', b -f' r j\ r-- ,..., C) I , "" \-- h re, edl.4(" ::: 3 b + I :: I + b I 1.1" q) I} l I " +I..e. c..o ff-IC ",t f'.st.,r>'\o.t.<., Of) LAI')-, 0 r) "" hE' 1"\ rC7j res "'J J. \A. L o " IAn: 0 n ) €J( a"d CA"tO,,", 0., n j a t1 .
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