Problem 1 [(a)-4pts, (b)-8pts, (c)-8pts] (a) Express the function sin(koT) Solution 1(a): kπ (b) Given the signal: as a sinc function. x(t) = S(t + 2) + 8(t-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] (c) If the Fourier transform of a signal x(t) is X(ja) = 3ja, use the appropriate Fourier transform properties to determine the Fourier transforms of the following: (i) x₁(t)=- d²x(t-5) dt² (ii) x2(t) = 2x(t) cos(10t) Solution 1(c): function