Enas 194 Problem Set 12 Solutions

Enas 194 Problem Set 12 Solutions - l-lwf,lz /aal e'/'l r)...

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l-lwf,lz - /a al e'/'l r) *al g ?'o !' '' /*'r lz R'ct' r.,t( hdw d*u = t'/*o *nl (,-E/aL/ -sAZ. 24>a t'=u- l 7e ezL hrrc )*ru=o ( lrv' /a,b 7da) u (o) =o r u(t) = t/2 O = C , ' a ' l c 2 - c 2 = o Q 2 = c r L + C r = L t a f t v /ol= q ur/ t-) =o vb) = o / llr/e)= 5 C 2 = e , b = C t t\ u/a) = q (:* ft) + u(t) = y 4=. cz c t # c , L * a = b - + q = 4 , , a l L Z + C 2 = q I - , tgctu o= c, l:=:t " ) b ) " ) t . / u= bx / L / a,(/ t t) -- b^4 + cr- ba ltt- | _ l u = ' # r r / /
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a Z) L ='TT l-4 f k)=/ , a!xlrT fti= aa7, + ( sar.c\ "o# uo=1^d a// <n,bo: o h- ^2) = # n/o = j/zrl=2 t- r T 7 ) i n (ox) ,1.+ = -$ r"rt"_, l: --ti tt -'t_71 ,+ s,.G)fT +t e,to /qn) - sr t G.r\J = e a"-/toLs:>,7r) =-) b n t ) / = f,/r., (no) - ros /-. O) bel res/n z) = ?-s(^on) ! C e L r . a 4 e 4 . c f t / - ry f&)-t t otr/,7r 9t.tc gotti lte,nal 2q ur'llk (an- u - = o ( o " l v * < d o l { 6ro !r-(f,"-) P k) stal o2') clx 6 .ilaaty: Oal a/So c[^.alc-t T l t 4 . , - - : | / , J X - n / -n olr en. JT 7r -n / e e/ q*/o\ l* = trl f ros/^ +) Jx -n -7r
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a l o 7 f ) ,+)) -t,n(nxllx r )o,-/o)t* I* si'\/-",w)=- sto/ts-) ' ' l : n F a 7 J L ((n)=-l "/(y)rl 2 \ + rJ ,nr*\y =-+ ,+ l" - z f \ "n lr"shn)-(as"r) -# /f-,f-,) = [: 4- <ve\--, l/n T /t-th vau/ r e c- (V z/ / p?aas) c" =f f r* ,tt-2(^tx/thx D ' i 4 t ? q ? ,, lJ)<Sr,e (-T*/,,o} /r, r J ftio-) s,_ ( noyqof * I (.-- nll -?, t/i, q- 4fr "-/n*)/.t 3) ,o:,o) dr u =az /^n u =A 7 sr.,((zv_r\x)/. _/ = + E''lt ( ( z?-')n)//ro-,1'-/ t={d A-. u(4*)=r(r,t)=o uG,ol= f )r a!*z,zd I ,4a- x 24 xs ea I {/'s 's 5a"'2 /zt btt< ac /'t"/u'.H i-krc am.p/a (ro.r) ta >a/o/ran r tt e b (x,rr- n3, 4n oolo/-n2tr2oz/ /tz ) s rz frox/z )
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- d l ' -a )'o L, -! f
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This note was uploaded on 07/18/2008 for the course ENAS 194 taught by Professor Mitchellsmooke during the Spring '08 term at Yale.

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Enas 194 Problem Set 12 Solutions - l-lwf,lz /aal e'/'l r)...

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