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The impulse response of a system is $h(t)=t\;u(t)$. For an input $u(t-1),$ the output is

  1. $\frac{t^2}{2}u(t)$
  2. $\frac{t(t-1)}{2}u(t-1)$
  3. $\frac{(t-1)^2}{2}u(t-1)$
  4. $\frac{t^2-1}{2}u(t-1)$
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