Find the Fourier transform of f(x) (without using Table III in Sec. 11.10). Show details. f(x)...

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Find the Fourier transform of f(x) (without using Table III in Sec. 11.10). Show details. f(x) = e-lx| =e=1x| (-∞0 < x < ∞) Table III. Fourier Transforms See (6) in Sec. 11.9. 1 2 + 5 6 7 8 10 f1 if-b<x<b lo otherwise lo otherwise 1 x² + a² if b<x<c { f(x) 2x-b 0 X 0 0 -ax if x > 0 0 otherwise exifb<x<c otherwise iax (a > 0) if 0<x<b if b<x<2b sin ax x otherwise iar if-b<x<b 0 otherwise (a > 0) ifb<x<c otherwise (a > 0) (a > 0) ek 2 sin bw ibe -1+2 f(x) = F(f) √2(a + iw) 1 √2#w² ke a-ix-a-ib V2π(a - iw) -Zah sin b(w - a) elela-w if w<a: 0 if w] > a Find the Fourier transform of f(x) (without using Table III in Sec. 11.10). Show details. f(x) = e-lx| =e=1x| (-∞0 < x < ∞) Table III. Fourier Transforms See (6) in Sec. 11.9. 1 2 + 5 6 7 8 10 f1 if-b<x<b lo otherwise lo otherwise 1 x² + a² if b<x<c { f(x) 2x-b 0 X 0 0 -ax if x > 0 0 otherwise exifb<x<c otherwise iax (a > 0) if 0<x<b if b<x<2b sin ax x otherwise iar if-b<x<b 0 otherwise (a > 0) ifb<x<c otherwise (a > 0) (a > 0) ek 2 sin bw ibe -1+2 f(x) = F(f) √2(a + iw) 1 √2#w² ke a-ix-a-ib V2π(a - iw) -Zah sin b(w - a) elela-w if w<a: 0 if w] > a

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Answer Given fx F W 2 FW Fourier Transfor FlW1 3 Jo restore above Fw QL it ... View the full answer