Problem 1 [(a)-4pts, (b)-8pts, (c)-8pts] sin(koT) kn (a) Express the function Solution 1(a): as a sinc function./n(b) Given the signal: x(t) = 8(t+2) + 6(1-2) (i) Calculate its Fourier transform. (ii)

Determine the magnitude of its Fourier transform and sketch it, clearly labeled. Solution 1(b):/nProblem 1 [(a)-4pts, (b)-8pts, (c)-8pts] (e) If the Fourier transform of a signal x(t) is X(jo)-3jw, use the appropriate Fourier transform properties to determine the Fourier transforms of the following: (1) x₁()= (ii) x2(t)=2x(1) cos(10) d²x(t-5) di² Solution 1(c):