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Problem 12. (11 POINTS) GIVEN THE FACT THAT THE FOURIER TRANSFORM IS F(e - 72 / 2 ) = e-12 /2 , WHICH FUNCTION IS

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Problem 12. (11 POINTS) GIVEN THE FACT THAT THE FOURIER TRANSFORM IS F(e - 72 / 2 ) = e-12 /2 , WHICH FUNCTION IS THE FOURIER TRANSFORM OF THE FUNCTION, g(x) = ex-x2/2? THAT IS, FIND F(ex-x2/2). (A) ew-w2/2 (B) -iwe-w2/2 (C) e-w2/2-iw (D) e-w212 Se (E) e-iw-w212 Se

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