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homework_HW6 soln

# homework_HW6 soln - rY vokleWl ~e~ 5 jt II VrX LoQ 1'Yl.w =...

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rY vokleWl ~e~ #- 5- . jt II LoQ 1) V rX) { '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 S t~ iI ~o , .eve~ §u\ ~ , " -f I I . I ... ' /) ""~10r1 /'>/ >0 i ii , eV10~~ ""-0 (Or1.~ I O e r '\.v- <,;.. r <. U 1'\ - / \ x , , J o ~e+- ' ,+ Qt ~ " + - -l- ..--:;!.~===-.d..) =) * A'? r o+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) . Thli 1 ~ 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 c O)jtIYlU;tr of ~ ?'\t X = ~ I ( & , -:-A ) cO s. k(H) = ~co 5(k j,) +- ~ ~ 'I t1 (t b ) C O r(+iYl~;t! Df ~ / Pl4 p<~ b ) ( & ..:.-A) , i V ~',?\ ~(k~) = - ~ts 'ln (t b ) i ~ r { o{tb) 0 1 ?(~ c , A~~l1j+e rJettfl'& -) ~(C)= 0 (~-;-A) ~ ' co~(t C ) 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~q k b )Gl n~ J, ) + It SllIH ~b) co5(tb) - ~ r b i nf b) + ~ f' cos ~ ~ b) = ~ r Q) X r co~[b) - @x 5 i Y/ (t1) ) 1: co~ ~1) C Od 1(~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 (t c ) I I fi\ ~ I I ~ +L~ o,~(U! ! slll ~d , SI Yl (} C) + t i~~~ ~ ~k~ )i co >&b ) sn (t' c) = 0 == c osl, ( ~b ) ~o set h ) (b>(ji c) -t "i.(Ii b )~; ,(h) J- ~ Si~h~ j, ) &i ,({'b) iP}(t () - ( o , ~1 )5i~~(8
~ > J Cl ~ ~ (k1) *~~ [t (b-C)] = ~ Q ' ,te 't , Jo. n'k ( J ~ (vQ E) b) JGt n (J2~ (j, -c ») r

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homework_HW6 soln - rY vokleWl ~e~ 5 jt II VrX LoQ 1'Yl.w =...

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