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(Solved): (a) ( 7 points) Consider an I.Tl (linear time-invariant) system whose response to x_(2)(f) is n(t), ...



(a) ( 7 points) Consider an I.Tl (linear time-invariant) system whose response to

x_(2)(f)

is

n(t)

, where

r_(1)(t)

and

n(t)

are illedrated as followin: Sirtch the response of the system to the imput

r_(2)(t)

. (b) ( 6 points) Assume we have a linest vostem with the Shallowitg ingrat-out pat pairx the contpat is

n(t)=cos(t)u(t)

when the inpot is

x_(1)(t)=m(t)

f the couput is

y(t)=cos(t)(u(t 1)-u(t))

whom the imput is

x_(2)(t)=sect(t (1)/(2))

. Is the system time-invariant?



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