Unformatted text preview: h = π 4 . Hint : First using the Interpolation error theorem(pages 1114 in Lecture 11)show that the function g ( x ) = exp(21 / 2 x ) can be approximated by a seventhdegree algebraic polynomial for x ∈ [1 , 1] with error < 2 . 5 · 108 . ( 8+2=10 points ) 10.3. Show that the formula Z 11 f ( x )(1x 2 )1 / 2 dx = π n n X k =1 f ± cos 2 k1 2 n π ² is exact for all polynomials of degree 2 n1. Hint : Use problem 9.3(c) from Homework 9. ( 10 points ) Due: 30.04.10, at 3 pm (in the mailbox labeled Linsen in the entrance hall of Res.I )...
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This note was uploaded on 05/18/2010 for the course MATHEMATIC 120102 taught by Professor Xxxxxxxxxyyyyyy during the Spring '10 term at Jacobs University Bremen.
 Spring '10
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