Podcast
Play an AI-generated podcast conversation about this lesson
Questions and Answers
What is the Laplace transform of the function f(t) = e^(-3t) cos(5t)?
What is the Laplace transform of the function f(t) = e^(-3t) cos(5t)?
- (s - 3)/((s - 3)^2 + 25)
- s/(s^2 + 9)
- (s + 3)/((s + 3)^2 + 25) (correct)
- s/(s^2 + 25)
What is the Laplace transform of the Dirac delta function δ(t - a)?
What is the Laplace transform of the Dirac delta function δ(t - a)?
- exp(-a*s) (correct)
- exp(a*s)
- s/a*exp(-a*s)
- s*exp(-a*s)
What is the Inverse Laplace transform of the function F(s) = 1/(s^2 + 4)?
What is the Inverse Laplace transform of the function F(s) = 1/(s^2 + 4)?
- cos(2t)
- sin(2t) (correct)
- e^(-2t) sin(2t)
- e^(2t) sin(2t)
What is the Laplace transform of the function f(t) = t*u(t - a)?
What is the Laplace transform of the function f(t) = t*u(t - a)?
Signup and view all the answers
What is the Laplace transform of the function f(t) = e^(at) sin(bt)?
What is the Laplace transform of the function f(t) = e^(at) sin(bt)?
Signup and view all the answers
What is the 3D graph of the Laplace transform of a function f(t) = e^(-3t) cos(5t)?
What is the 3D graph of the Laplace transform of a function f(t) = e^(-3t) cos(5t)?
Signup and view all the answers
What is the Inverse Laplace transform of the function F(s) = (s - 3)/(s^2 + 4)?
What is the Inverse Laplace transform of the function F(s) = (s - 3)/(s^2 + 4)?
Signup and view all the answers
What is the Laplace transform of the unit step function u(t - a)?
What is the Laplace transform of the unit step function u(t - a)?
Signup and view all the answers
What is the Laplace transform of the function f(t) = e^(-at) cos(bt)?
What is the Laplace transform of the function f(t) = e^(-at) cos(bt)?
Signup and view all the answers
What is the Inverse Laplace transform of the function F(s) = 2/(s^2 + 4)?
What is the Inverse Laplace transform of the function F(s) = 2/(s^2 + 4)?
Signup and view all the answers
