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A system has unit step response as shown below.


Impulse response of the system is

 
u(t) - u(t - 0.75) - 4(t - 0.75) + (t - 0)
u(t) - 4(t - 0.75) + (t - 1)
u(t) - u(t - 0.75)
u(t) + (t - 1)

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We can not simply write the expression of r(t) as u(t). it is u(t)-u(t-2)

How can u write the expression for c(t)