Unformatted text preview: cos cαt Z + ∞-∞ f ( τ )cos( α ( τ-x )) dτdα Problem 3 Let F denote the periodic function, of period l , where F ( x ) = ‰ l 4-x, when ≤ x ≤ l/ 2 x-3 l 4 , when l/ 2 < x ≤ l. [a] Describe the function F ( x ) graphically. and show that it is, in fact, the even periodic extension, with period l , of the function f ( x ) = l 4-x, ≤ x ≤ l/ 2 . [b] Find the Cosine Fourier Series of the function f ( x ) . 1...
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- Fall '08
- Fourier Series, Dirac delta function, utt, inhomogeneous wave equation