(a) Consider a system y(t) = 4(t – 1)x(t) + 4x(t + 1). Does the system linear?

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(a)
Consider a system y(t) = 4(t – 1)x(t) + 4x(t + 1). Does the system linear?
(b)
Based on the given signal x(t) as in Figure Q1(b), sketch the transformed signal,
y(t) = 3x(-10 – 5t) + 4. Then, express y(t) in terms of unit step function.
x(t)
2
-5
5
10
Figure Q1(b)
Transcribed Image Text:(a) Consider a system y(t) = 4(t – 1)x(t) + 4x(t + 1). Does the system linear? (b) Based on the given signal x(t) as in Figure Q1(b), sketch the transformed signal, y(t) = 3x(-10 – 5t) + 4. Then, express y(t) in terms of unit step function. x(t) 2 -5 5 10 Figure Q1(b)
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