Question: Assume that k> 0 is a constant. (i) Calculate and simplify the Fourier transform of the function h(t) given by e-kt -ek kt if

Assume that k> 0 is a constant. (i) Calculate and simplify the

Assume that k> 0 is a constant. (i) Calculate and simplify the Fourier transform of the function h(t) given by e-kt -ek kt if t0 if t < 0 h(t) = { Show each step of the calculation and explain where necessary. (ii) Without further integration, determine the Fourier transform of h(t - 5).

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