Question

Find x(t)*u(t)

(a) tx(t)

(b) t^2x(t)

(c) (dollarSign)x(t^2)

(d) (dollarSign)x(t)

This question was addressed to me in an internship interview.

The above asked question is from Continuous Time Convolution topic in portion Time-Domain Analysis of CT Systems of Signals and Systems

Answer 1

The correct choice is (d) $x(t)

Easy explanation: Apply the convolution formula. The above corollary exists for any x(t) [not impulsive].