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?

• A
• B
• C
• D

Question 2

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

• A0
• B3
• CDoes not exist
• D5

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) = e^αt u(–t) α > 0

• A
• B
• C
• D

Question 4

The Laplace transform of

• A
• B
• C
• DNone of these

Question 5

if

And Laplace transform of

Then Laplace transform of

• A
• B
• C
• D

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