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An input $\mathrm{x(t)}=\exp (-2 \mathrm{t)u(t})+\delta(\mathrm{t}-6)$ is applied to an LTI system with impulse response $\mathrm{h(t)=u(t})$. The output is

- $[1-\exp (-2 \mathrm{t)] u(t)+u(t}+6)$
- $[1-\exp (-2 \mathrm{t)] u(t)+u(t}-6)$
- $0.5[1-\exp (-2 \mathrm{t)] u(t)+u(t}+6)$
- $0.5[1-\exp (-2 \mathrm{t)] u(t)+u(t}-6)$