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- az Q1: Find ду if you know that: z = x³ y² tan(x²e*y")?Q4) Find the Fourier coefficients corresponding for the below function, then answer the following questions. 0 -5a) Exeand in fourier series the perio dic Lunction X+2, -252. Prove that the Fourier sine and cosine transforms are linear.3. In cyone period fuuchion fit) i's defined as f(t) = e-t, -1s t s+l 3.1. Detezmine the complex Fourier Sevies expeu tevai - 3.2 . Delkrmi'ne if this feuenchion flt) satısty due Dirichlet's CundidicnSPage 1 > of 2 ZOOM + 2. Prove the orthogonality of the sine function. Specifically, prove that (0, ifn' + n (n'пу) dy = a sin () ппу а а a if n' = = n. Hint: Y ou need to use the following relationships: 1 sin A sin B = F [cos(A - B) — сos(A + B)] sin ax lim = a x→0Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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