1.9 A signal x(t) is defined as x (t) =r (t + 1) – r(t) – 2u(t) +u(t – 1). (a) Plot x(t) and indicate where it has discontinuities. Compute y(t) =dx(1)/dt and plot it. How does it indicate the...

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Extracted text: 1.9 A signal x(t) is defined as x (t) =r (t + 1) – r(t) – 2u(t) +u(t – 1). (a) Plot x(t) and indicate where it has discontinuities. Compute y(t) =dx(1)/dt and plot it. How does it indicate the discontinuities? Explain. (b) Find the integral y(t)dt and give the values of the integral when t =-1, 0, 0.99, 1.01, 1.99, and 2.01. Is there any problem with calculating the integral at exactly t =1 and t = 2? Explain. Answers: x (t) has discontinuities at t=0 and at t=1, indicated by delta functions in dx(t)/dt.