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) = -iwt f(t)e-hut dt where w is a real number and i is the imaginary unit (= √-1). Find the Fourier transform of f'(t). Your answer must include F and w (and another symbol), but no integrals. Use integration by parts.

Q: 2 f(x) = (ae-4x + be-3x + ce-2x) if x > 0

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Q: 2 f(x) = (ae-4x + be-3x + ce-2x)ʻ if x>0

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A: The formula for the Fourier Sine Transform is :-  f^a=2π∫0∞fxsinaxdx   And we are given the function…

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A: see the attachment given below for details.Explanation:

Q: Determine the Fourier transform of f if f(x)=e* for x> 0 and f(x)=sinh2x when x< 0.

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