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})\, $