Spring '07 Solutions

# Spring '07 Solutions - lryt tt o f Bue t,s-e,fu...

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lryt, tt %-, t ,s-e,fu," -D! zz, zool @ o f Bue Tfu ,t"t-r<t-l nx ùaa (e,1r-27 ^-4 7-t,zr-t) "-.*z pa-,t-albL @ f"lsn il.4 pè",4L (- t, orq) d*t: "uâ -(.à or'l. flt 2;,.t2- (X__ _-i+t ) f ?--'t-' I z=zi ,.l,xLvtLt-t lcJ 1'rzu.z ;"' ;. " - = | @ {-t.- Dt { ,r q sca.lqr @ +".1"s {4yxJ-L'Q .44Jg -Y --à.-,

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@A,,r-=lca_ât" (d_Ë;l =l(r ,-3,-27 x (, z, o, --l / t ,.â \l lLt( , -s_z )l I \ z o-z/l -- 1l'3''.-1 -î1'--:-l -z2l ,tl':31 o -l(.a,-.,a>l ) - Urn +.t+lL = {__vl_ _ z f11- -..rJJ D-ê = c-B J /-s lr J g =\. -B ) * A (2,o,-2> +(a ,-t,t ) =(1r-lr-,) s,-., e sa a âZ sine . (d- Ë )"(î-ËJ ae e? '; e : 4ro.- @@, )fi l(tr-3,-z)là d= a,llq : a,[-îî {r4rr v7T lJ -rl , lA-slr
6, Êtts: (riatt'',, +-2.,G2 Ëc"'1 =4-trzrt) Ê(t)= ( ôrtl n. * Z J = 1 ,rrr',2 ç -2, {? ) at =(4,17o t3'- ,Ç-z-+,v3t) +â ""s 1-ltZrt) f (c) l-r rz, r) +< ) =a. 1. rèro) + t Ë f tl =(â'(Â+3''- t, Ç -zt,+ z r'r{./+ ) h O L= [ / tt't+JJ' , fu'ttfl" - (a-'cetJz Jt Jê. =l y' roe +(c-z1L+{ dt / r i-=-- -J. Vt'+bë+? t /- =J.'l (t +i)'d t -1 JO (,3)tt -t t! L-_ +3Ll d. lo 5* 3 *(o"") - 1 O<r

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@@) È{<; =ç,u4t ) s;-.1-> Ëcn)= (F,-r,o ) È/ (+) = 1_r, -e! rctat) A +--â.'",-r44\* .t)!cLd-r- -lè Ètel "* èCn) ..4 Ê' (tt) =- <, , o ., -t). to-^'gzal -Lù4' R(().-R. +t 7G =\$,-l to) +L( t,o,-r) z= r-+r ) Z - -y I, p"t'^,-tt*'t;-,.,i.nr. .,-.- ê=-t )
@ fU ?"-J.,o,.l. g-<';{aca ,.a a- J.-o^-e.-! s<^,,t fiu. 4, {(r, l1è)= pe-tz.Y+*V-i: fT (to,rqo,zp ) + {1 (xo,, qorèô(+-tlo) t z(uo,,to, (?,-2.--) : ô No=!.oaLo* 1 4).

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## This note was uploaded on 03/26/2008 for the course MATH 13 taught by Professor Weiss during the Fall '07 term at Tufts.

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Spring '07 Solutions - lryt tt o f Bue t,s-e,fu...

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