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

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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 )...
View Full Document

## 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.

### Page1 / 5

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online