hw_3_31_09

hw_3_31_09 - MA 221 Homework Solutions Due date: March 31,...

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MA 221 Homework Solutions Due date : March 31 , 2009 10 . 4 , pg . 611 # 5 ̄ , 6 , 7 ̄ , 9 ̄ , 1 ̄ 1 ̄ , 13 , 1 ̄ 5 ̄ (Underlined Problems are to be handed in) In problems 5, 6, 7 and 9, compute the Fourier sine series for the given function 5 ̄ .) f x 1 0 x 1 f x n 1 b n sin n x T where b n 2 T 0 T f x sin n x T dx b n 2 0 1 1sin n xdx 2 n cos n 1 Substituting f x 4 k 1 1 2 k 1 sin  2 k 1  x 6.) f x cos x 0 x f x n 1 b n sin n x T where b n 2 T 0 T f x sin n x T dx b n 2 n 2 0 n cos u sin udx Substituting f x k 1 8 k 4 k 2 1 sin2 kx 7 ̄ .) f x x 2 0 x f x n 1 b n sin nx where b n 2 0 x 2 sin nxdx 1
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2 b n 0 x 2 sin nxdx x
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This note was uploaded on 09/22/2009 for the course MA MA221 taught by Professor Levine during the Spring '09 term at Stevens.

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hw_3_31_09 - MA 221 Homework Solutions Due date: March 31,...

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