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Given the following system

$ \,s(t)=6x(t-2)-5x(t)\, $


Part A

Find the system's unit impulse response $ \,h(t)\, $ and system function $ \,H(s)\, $.


Part B

Compute the system's response to

$ \,x(t)=\frac{3\pi}{2}\cos(\frac{3\pi}{2}t+\pi)\sin(\frac{3\pi}{4}t+\frac{\pi}{2})\, $

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