Question

Evaluate (exp(-4t)u(t))*u(t), u(t) being the heaviside function.

(a) (1-exp(4t)) u(t)/a

(b) (1-exp(-4t)) u(t)/a

(c) (1-exp(=4t)) u(t)/a

(d) (1+exp(-4t)) u(t)/a

This question was posed to me in unit test.

My enquiry is from Continuous Time Convolution topic in division Time-Domain Analysis of CT Systems of Signals and Systems

Answer 1

The correct choice is (b) (1-exp(-4t)) u(t)/a

For explanation: Use the convolution formula.