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GATE 2024 Signals and Systems Rank Booster Quiz 26
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Question 1
Consider the LTI system whose impulse response is h(t)=e-atu(t), a=1, input to the system x(t)=e-btu(t), b=y(t) is the output obtained from the system then y’ (1) will be?
Question 2
Consider a signal y(t) which is related to two signals x1(t) and x2(t) by y(t)=x1(t-2) * x2(-t+3) where, x1(t)=e-2tu(t) and x2(t)=e-3tu(t)
Use the properties of the laplace transform to determine the laplace transform Y(s) of y(t).
Question 3
If X(s) = ln
.then
is __________
![](https://gradeup-question-images.grdp.co/liveData/PROJ31133/1560230312014372.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ31133/156023031279394.png)
Question 4
For the given x(t), if the Laplace transform is X(s), then the value of X(2) is ________ . ( upto 3 decimal places)
Question 5
If Laplace transform of signal x(t) as shown in figure is
, then value of k is
![](https://gradeup-question-images.grdp.co/liveData/PROJ86066/1631253141428973.png)
Question 6
Let the inverse Laplace transform of F(s) is f(t), the function f(t) at t = 6 will be, if ![](https://gradeup-question-images.grdp.co/liveData/PROJ61419/160101266072871.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ61419/160101266072871.png)
Question 7
Evaluate the Laplace transform of f(t) if f(t) = t2e–3t(cos 2t)
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Nov 3ESE & GATE EE