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CH 39 #33 - = = = L L V π L dV ψ P b 2 1 = = = z y x...

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39.33: Following the hint: If we Taylor expand sin( ax ) about a point 0 x , we get = + - + ) )( ( ) ( 0 0 0 x x x f x f . ) )( cos( ) sin( 0 0 0 + - + x x ax a ax 0 If x x - is small we can even ignore the first order term and sin( ax ) sin ( 0 ax ). For us L x x 01 . 0 0 - which is small compared to 2245 L πx L z y x ψ L 0 2 3 sin 2 ) , , ( so . sin sin 0 0 × L πz L πy a) 4 0 0 0 L z y x = = = . 10 1.00 ) 0.01 ( 2 2 2 4 sin 2 6 3 6 3 6 3 2 - × =
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Unformatted text preview: = = = L L V π L dV ψ P b) 2 1 = = = z y x ∫-× = = = = . 10 8.00 ) (0.01 2 2 sin 2 6 3 3 6 3 2 L L V π L dV ψ P...
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