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GATE 2023 Signal & System 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

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

Question 4

The Laplace transform of

Question 5

Let y(t) =[u(t)]*(t-3k) such that, y(t)=A for 0t<3, determine the value of A

Question 6

if

And Laplace transform of

Then Laplace transform of

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May 25ESE & GATE EC