PHYS 212 Final, Fall 2007

rT?li , {l tql \ -*w{ }rr ,n *-' r L ; *..,-*v'**' +:'*ffi* Juo* Q* *',,* H ^An+ 1 l1 JJ--t-tt ''A iI '+4'-1 c'*L d/-tt 'j'*'!t il^*r-t \r,^e D'v1 " i-$"* firrq #-T ".rl 4"\!"* .i,yL.u^r^-. f "* **"#^- ^L J . l i''.,'.'. !L = 3,?-1 i.t r2-1,, ,r**'* *A+J+'r t, :. L,o., 5 s , bJ /'""f L4 1T.* ttttV.snW*C "'f- &** U ) t i g 4 /-\ ':: -'r-?- ?- # 'tr ' l\ 4 ,"2 r,*.r.. i i ' k I \ "rlo o/ - {*r.-}\.,11 i*-.t I 'uut cn,,kJ,rk d..,,1" d"* *urr"€J*f- "'} 'L''r -t *;.":l *.' -tJ'.-e ,l 'lo'''l;ul 4 r-...'n'-. q-5 "' i't'r" i' 1[.. g i:] *, At \ t t ,^-) fh}"l ,.. i Hr,..'.,' ' I lt "l It [/r+ r-']i' \lri",ur1'i..,.uW;"i,{.}-.".u*^^I1-,o-*i*.,te,..,\,j,,,-..^> * } } \ J nyu ''1,1,1 f ,:.,:..1 '. i-{- U ,\$*1fd,r,.r- ,1 ."1* iitr; e-t-' v'* c'{'' g * 6a"t"rr;\ 'tJ J .'.,]1*.,d J\. 'l* )r*rr]*"L-L ? % l\t, ,,,{, frr'?;-}. f i t i ' 't1; ,,f *1r,t,t",\ {,/iri",t.* fi: \ * 1 f l^-* '\/* t't[,, , , ,l tI h "{'\ }' li 1n .n. i ! \ I p-*,:r.i" = { i'"!-'* *,,n- i....!,- h. I\ /tu) L.l {e, i v!A. f,f.** xD =*o -i f:L 1."t.-,).{ ou.',.# r,r.vl1-', i - *t 4\ulr'-"i' I "-'(-'4*, E*r. * . # A ,*,nrL il,u d*'"'-t+o \*:-.,'r,r.\4.*-, f *vy "*lo^ r.fit-r"i I(JtJ \-l;s!= r.nriruu[t"n\ $,rnr- 9r" \ ^_ ) .\_- f'*- \A ilr r*l'* J * l r'i d h {.tu \t t t\ 'V * | I *'. \e , r i * * ^ ' \ . ' i * , r i \ \ h ' " \ / \ ) Y H i N e ! i i,,. *{* I ?,T t, *L I 1 B lr A I I "l"r \ -Lt "[Lr +ua]44 J { V o*L*-*a 4***r {o t t I \ \^//*aL ; tf* l : 4 ' t; ."-r,''':i y rr\ '{ n*r* ud*, d*l *.r.Lo*L*- J-ie ,{ r- r fl-w 4){rfil"- i,4 r*4n*a:,"1 **.** *l_ , w fr**:L ]r 4 **.* ,i, #,,n"i L "i ,:,i iA u,"r4,.,-,,'f 1,.t, u 'r ,,J,^' 4":[r*, *] I i j d , {Fr""'t{-'e}r} nnro,-J u*4 "lr{* V ptk"+u tr *:- ffi ? 4 *? (r",- ) ,u,r,ln*,..* l>Cor) /.*e,. ,'* W |t-" .r,,-t* *'t'o- ,*.', bv'r t&w * t-;'0. ,'rl*'l- ,1", € !*rt,A ?(r,) 1F#t""rH,U& +l,l Irfr t$-.4'ru"';{" - \ I -T-Ab t {= iX txL [ * ' :ln \ x;r.,*u.x Ax x rJ t , t i " v r v i l r @ Y n ' J i \ , / \ J \ A*t' X X ht> X ;+*p X "\' H "lvr-i K = @(x**?") b>x + ?.Kr'twr-y, H LXt*u) /ri.r"r.x f ?>q &P'rx r { ' ,+r,++ X A Y t *r>:, X o\ f