homework_HW6 soln - rY vokleWl ~e~ #- 5- . jt II VrX) LoQ...

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rY vokleWl ~e~ #- 5- . jt II LoQ 1) VrX) { 'Yl. .w\. === Ot . -j ~r ; ~i ~ . f)(ctC~ etlf'rg <-5 tke ~~(\d $~PL+ t A, t k VQ1e"\''& ',> e "eO ~ en I J, ~y.",J s f.w fe w vW€ St~ iI ~o , .eve~ §u\ ~ , " -f I I . I ... ' /) ""~10r1 /'>/ >0 i ii , eV10~~ ""-0 (Or1.~ O e r '\.v- <,;. r <. U 1'\ - / \ x , , J o ~e+- ',+ Qt ~ " +- -l-. .--:;!.~===-.d. .) =) * A'? ro+e JiPl.I i ~ t ke ~ar,-e ~ "" - b 5: x ::6 I '* s~o Jd hVlve tI .s~ &le k'pres.en+~tio r'( t\lo n~ -+ ~i~ I b' I c. ' do t~i > re8 i o r) . Thli1 ~ w~ l OM ) A cot, h (k'X ') OS' X <::: b -?t' +~I ) I"e ;0'1 0<) ::=: d ( 13, ( >(t "X) -\- C 5 i f\(k X b~«.c C
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Bo uV)Ck r! ( ond i +; 0 VI S cO)jtIYlU;tr of ~ ?'\t X = ~ I ( & , -:-A ) cO s. k(H) = ~co5(k j,) +- ~ ~'I t1 (t b ) C O r(+iYl~;t! Df ~/ Pl4 p<~ b ) ( & ..:.-A) , iV~',?\ ~(k~) = - ~ts'ln(t b) i ~ r{o{tb) --@ 0 1 ?(~ c , A~~l1j+e rJettfl'& -) ~(C)= 0 (~-;-A) ~' co~(tC ) 1- C &' I ~~C) - 0 -- ---@ A A ~ L eU\ ~f1 ~ u.c~ o..~ ~ t~eb rO\. ( 2 un kV\o~rt ) 1 e . ) IP "t bl -n~ b) t @ x ,-"slk b ) ) 1 (O~qk b )Gl n~ J,) + It SllIH~b) co5(tb) - ~ r b i nf + ~ f' cos ~ ~ = ~ r Q) X r co~[b) - @x 5 i Y/ (t1) ) 1: co~ ~1) C Od1(~b) - l ~', ~(tb) ~)Y] h (~1) = * 1 (w;(tb) + 5' /1((t 1)) = ! k ) ~ == C o> h(k 1 ) C05~ h) ~ ~ Sl"'h ('k~) &i'Yltfb) -L ,~~(;\we .ftutot- ~ __ , i'; ':~' ~'(kk)! co s(tk) co.s(t c ) - ~ r~', ~~ C~b )! S'IY1ffi'b) co c ) I I fi\ ~ I I ~ +L~o,~(U!!slll ~d, SIYl (} C) + t i~~~ ~ ~k~ )i >&b ) sn (t' c) = 0 cosl, ( ~b ) ~o set h ) (b>(ji -t "i.(Ii b )~; ,(h) J- ~ Si~h~j, ) &i ,({'b) iP}(t () - ( o ,~1 )5i~~(8
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~ > J Cl ~ ~ (k1) *~~ [t (b-C)] = ~ Q ' ,te 't , Jo. n'k ( J ~(vQ E) b) JGt n (J2~ (j, -c ») r j v. ~ E: L _ 7:Vl.n h( .
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This note was uploaded on 02/23/2009 for the course PHYS 485 taught by Professor Demarco during the Fall '09 term at University of Illinois at Urbana–Champaign.

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homework_HW6 soln - rY vokleWl ~e~ #- 5- . jt II VrX) LoQ...

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