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Problem 8. (11 POINTS) FOURIER TRANSFORM OR LAPLACE TRANSFORM IS NOT DEFINED FOR SOME FUNCTIONS. WHICH FUNCTION HAS BOTH FOURIER TRANSFORM AND LAPLACE TRANSFORM? (HINT:

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Problem 8. (11 POINTS) FOURIER TRANSFORM OR LAPLACE TRANSFORM IS NOT DEFINED FOR SOME FUNCTIONS. WHICH FUNCTION HAS BOTH FOURIER TRANSFORM AND LAPLACE TRANSFORM? (HINT: WHEN YOU COMPUTE FOURIER TRANSFORM, T E (-00, OO) IS A SPACE VARIABLE, AND WHEN YOU COMPUTE LAPLACE TRANSFORM, T E 0, CO) IS A TIME VARIABLE) (A) f(x) = ex (B) f(x) = sin(x) (C) f(x) = e-121 (D) f(x) = 2-1 (E) f(x) = log(I)

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