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The impulse response of a system is $h(t) = tu(t).$ 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. $\frac{t^{2}-1}{2}u(t-1)$