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Q2. Find the Fourier transform for the function below. (simplified as much as possible). Sa- |x|; |x|≤a ; |x| ≤ a f(x) = { a

Q2. Find the Fourier transform for the function below. (simplified as much as possible). Sa- |x|; |x|≤a ; |x| ≤ a f(x) = { a

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q1. Find the Fourier series for the function in figureQ1 (simplified as much as possible). figureQ1 Q2. Find the Fourier transform for the function below. (simplified as much as possible). Q3. Using Z(n²) = show that Z(n + 1)² = ²�� (z+1) (z-1)3 Q4. Find the inverse Z-transform of f(n) by any method: z² + 2z (z-1)(z-2)(z-3) Q5. Solve the difference equation ux+2 +ux = 5(2x), U₁ = 1, ₁ = 0 4 - f(x) = { a = |x| = |x| ≤ a 0 ; |x| ≤ a z(z+1) (Z-1)³ "
Transcribed Image Text:Q1. Find the Fourier series for the function in figureQ1 (simplified as much as possible). figureQ1 Q2. Find the Fourier transform for the function below. (simplified as much as possible). Q3. Using Z(n²) = show that Z(n + 1)² = ²�� (z+1) (z-1)3 Q4. Find the inverse Z-transform of f(n) by any method: z² + 2z (z-1)(z-2)(z-3) Q5. Solve the difference equation ux+2 +ux = 5(2x), U₁ = 1, ₁ = 0 4 - f(x) = { a = |x| = |x| ≤ a 0 ; |x| ≤ a z(z+1) (Z-1)³ "
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