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GATE 2025 Signals & Systems Foundation Quiz 28
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Question 1
Find the system’s response to the input x(t)=
if the unit impulse response h(t) of a DT LTI system is h(t) = u(-t+1) use convolution?

Question 2
The Laplace transform of x(t) is
The final value of x(t) is

The final value of x(t) is
Question 3
Compute the output y(t) for a continuous time LTI system whose impulse response h(t) and the input x(t) are given by
h(t) = e–αt u(t) , x(t) = eαt u(–t) α > 0
h(t) = e–αt u(t) , x(t) = eαt u(–t) α > 0
Question 4
The Laplace transform of 

Question 5
if

And Laplace transform of
Then Laplace transform of
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Jan 9ESE & GATE EC