HW1 - 4.2 Use the stopping criterion % 5 . % 10 5 . 2 2 = =...

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Unformatted text preview: 4.2 Use the stopping criterion % 5 . % 10 5 . 2 2 = = s True value: cos( /3) = 0.5 zero order: 1 3 cos = % 100 % 100 0.5 1 0.5 = = t first order: ( ) 451689 . 2 3 / 1 3 cos 2 = = % 66 . 9 = t % 4 . 121 % 100 0.451689 1 0.451689 = = a second order: ( ) 501796 . 24 3 / 451689 . 3 cos 4 = + = % 359 . = t % 986 . 9 % 100 501796 . 451689 . 501796 . = = a third order: ( ) 499965 . 720 3 / 501796 . 3 cos 6 = = % 00709 . = t % 366 . % 100 499965 . 501796 . 499965 . = = a Since the approximate error is below 0.5%, the computation can be terminated. 4.4 True value: f (3) = 554. zero order: 62 ) 1 ( ) 3 ( = = f f % 191 . 111 % 100 554 62) ( 554 = = t first order: 78 ) 2 ( 70 62 ) 1 3 )( 1 ( ' 62 ) 3 ( = + = + = f f % 921 . 85 = t second order: 354 4 2 138 78 ) 1 3 ( 2 ) 1 ( " 78 )...
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This note was uploaded on 01/20/2011 for the course ENG EAD 115 taught by Professor Rocke during the Spring '10 term at UC Davis.

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HW1 - 4.2 Use the stopping criterion % 5 . % 10 5 . 2 2 = =...

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