To find the Laplace transform of x(t)=r(t)2r(t1)+2r(t3)r(t4). (a) Plot x(t). Calculate dx(t)/dt, d 2 x(t)/dt 2 and

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To find the Laplace transform of x(t)=r(t)−2r(t−1)+2r(t−3)−r(t−4).

(a) Plot x(t). Calculate dx(t)/dt, d2x(t)/dt2 and plot them.

(b) Use the Laplace transform of d2x(t)/dt2 to obtain X(s).

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