Question 1
What is the Laplace transform of the function $f(t) = t^3$?
Question 2
Which of the following is the correct form of the convolution theorem for Laplace transforms?
Question 3
What is the Laplace transform of the second derivative $f''(t)$?
Question 4
If $F(s) = \frac{s}{s^2 + 1}$, what is the corresponding function $f(t)$ in the time domain?
Question 5
What is the effect of the Laplace transform on the derivative of a function $f(t)$?