GATE 2024 Signals & Systems Foundation Quiz 98

An LTI system with impulse response is given. Then which of the following are correct?

The Inverse Laplace transform of x(s) = ln is

Let f(t) and F(s) form laplace transform pair. If F(s) is given by (Assume right sided ROC)

then the final value of f(t) i.e., the value of f(∞) will be_____.

In the figure below, one cycle of a sinusoid for 0 ≤to≤ π is shown. Let the Laplace transform of x(t) is

What is the value of k in the expression?

Find L.T. of following signal