SOLVED:Find the Fourier transform of the function f(t)=(-|t|) (a) By applying Fourier's inversion theorem prove that (π)/(2) (-|t|)=∫0^∞ (cosωt)/(1 ω^2) d ω(b) By making the substitution ω=tanθ, demonstrate the validity of Parseval's theorem for this function.
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SOLVED:Find the Fourier transform of the function f(t)=(-|t|) (a) By applying Fourier's inversion theorem prove that (π)/(2) (-|t|)=∫0^∞ (cosωt)/(1 ω^2) d ω(b) By making the substitution
Find the Fourier transform of the function f(t)=(-|t|) (a) By applying Fourier's inversion theorem prove that (π)/(2) (-|t|)=∫0^∞ (cosωt)/(1 ω^2) d ω(b) By making the substitution ω=tanθ, demonstrate the validity of Parseval's theorem for this function.
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