Question 1 Evaluate the following integrals using residue theorem: (a) L (2² +9) (1 dz (x²+9)(x²+4)² 2r³ sin ur (1+²)2 dr (e) CoS z Loo (7² + 1) (2²+4)² -dr Question 2 (a) By making appropriate use of Jordan's lemma, find the Fourier transform of f(x) -1)² (b) Find the Fourier-sine transform (assume k ≥ 0) for (b)

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A: (A) ∆BPQ∠BPQ  + ∠PBQ + ∠PQB =180°∠BPQ + 20°+90° =180°∠BPQ = 70°In ∆APK∠PAK+∠PKA+∠APK = 180°∠APK  =…

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A: Suppose an image is saved as a matrix with a Singular Value Decomposition: A = USVT. Let the vectors…

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Q: I R w I R www I I Use wye-dell I I R www I

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Q: Show that for any 1 ≤ k ≤n. T) (1) = n²(n²-1²)...(n² – (k − 1)²) 1.3.5 (2k-1) .

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Q: 4-In any elements is the only nilpolent elements a(-b) = (-a)b = = (ab) (-a) (-b) = ab

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