System

y(t)=7x(t)

Impulse Response

y(d(t))=7(d(t))
so the impulse response is 7d(t)

System function

H(s) = $ \int_{-\infty}^{\infty}7\delta(\tau)e^{-s\tau}d\tau $
$ H(s)=7 $

CT Input

$ x(t)=cos(3*pi*t)cos(6*pi*t)\! $

a2=6 a3=6 a9=6 a10=6


fundamental period = $ 2\pi/6 $

Response to Input

$ y(t)=42e^{2jt} + 42e^{3jt}+ 42e^{9jt}+ 42e^{10jt} $

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To all math majors: "Mathematics is a wonderfully rich subject."

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