A Fourier transform is another integral transform often used in higher mathematics. The Fourier transform of f(t), denoted as F(w), is defined as F(w) = = f(t)e-hot dt where w is a real number and i is the imaginary unit (= √−1). Let a > 0. Find the Fourier transform of f(at). Your answer must include F, w, and a (among other symbols), but no integrals.

Q: x (t) 1 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13

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A: This is a problem of Fourier transform.

Q: Show the complete solution for these 2 question:

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A: We want to find Laplace inverse of given function.

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: (1-1z1, 1리1

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Q: (c) Compute the inverse Fourier transform for the function ={ Is| 4 -s, F(s) 0,

A: The given function is  F(s) =        - s             |s|&lt;= 4         =           0.…

Q: Q4: Find the inverse Fourier transform of the spectrum: (T - 2 < w < 0 2 X(@) = 0 < w < 2 2 0.W

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Q: Question 3. If F(w) is the Fourier transform of f(t), then the Fourier transform of g(t) = 4e5jt…

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Q: 1 ++²)

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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