ph2a_quiz1_soln-1

ph2a_quiz1_soln-1 - @ k( h1 X ~ -) yYl ;( 2 ( Ie t-;t m j71...

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@ I e ( k ( m t -- ; t h 1 X ~ - 2 k )< . - j71 X - --- ) yYl ; ( . = -C 2 . k + ~) j ® x= -( 2 ) < -) ~: : ~] © tn ' X 2 . : : - kxc ~ CXz-x , )-¥ - X Z ) ' PX 2 . ~ - (2 k + ~)X 2 + - kX J J
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_ w ' l o For X 1 -
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- -) /) 2 ' r :kt B) (d . -B) J ~{119 ( O S o e+ CaS /j : : ' . cos( 2 " eo s \ . 2 and C (lS rA - Cc 1S~ 2 - 2 <;' t Jt:l ) c , 'n (rJ .. ~) We h a Ve ' 1- , ' 2 X o cos(( v + ;~~ < : - vs (~+~~ Y - ~ - x 5 f 11 (C u- t . - rt : v , ,; " ) \ (C h - lu . ~.: ': 1 Z 0 2J o )s I fJ - '27 F or \ < t = ti, we have (} J +: ::J ~ =- J I T LV O dV J ~ C u >= . J f 3 U J" - ) ' 1 - , = XoCD5( f fi~ - fI3w o - i )cos(Vf3;Jfi w o i ) Xl ::: X o <; I t) ({if :~ L v o: k) <; i fJ ( 1 f / 3 i J TT u J o ~
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I n l7] " Plot[{Cos[ ( sqrt[l1] +Sqrt[13] ) *x*S / 2] *Cos[ ( Sqrt [ 13] -Sqrt[l1] ) *x*S/2], X Cos[ ( sqrt[13] -Sqrt[l1] ) *x*S / 2], I _Cos[
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ph2a_quiz1_soln-1 - @ k( h1 X ~ -) yYl ;( 2 ( Ie t-;t m j71...

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