GATE 2024 Signals and Systems Rank Booster Quiz 26

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?

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).

If X(s) = ln.then is __________

For the given x(t), if the Laplace transform is X(s), then the value of X(2) is ________ . ( upto 3 decimal places)

If Laplace transform of signal x(t) as shown in figure is , then value of k is

Let the inverse Laplace transform of F(s) is f(t), the function f(t) at t = 6 will be, if

Evaluate the Laplace transform of f(t) if f(t) = t²e^–3t(cos 2t)