Question

The given pair x (t) and y (t) is related by _______

(a) Y (t) = d/dt (x (t))

(b) Y (t) = x (t) + 1

(c) Y (t) = ∫x (t) .dt

(d) Not related

I have been asked this question in a dream while sleeping

The above asked question is from Basic Operations on Signals in division Signals and Systems Basics of Signals and Systems

Answer 1

The correct choice is (c) Y (t) = ∫x (t) .dt

The best I can explain: The given pair x (t) and y (t) is related by Y (t) = ∫x (t) .dt. The integral of x (t) gives the  Y (t). Y (t) = 0 for t > 1.