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The impulse response a the 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. $\frac{t^2-1}{2}u(t-1)$
in Signals and Systems by (1.5k points)
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