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/(s^2 + 9)
- 5/(s^2 + 25)
- 3/(s^2 + 9)
- (s + 3)/((s + 3)^2 + 25) (correct)
What is the Laplace transform of the Heaviside's function u(t-a)?
What is the Laplace transform of the Heaviside's function u(t-a)?
- 1/(s-1)
- 1/(s+a)
- e^(-as)/s (correct)
- e^(-at)/s
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)?
- 1/(s+1)
- e^(-at)
- e^(-as) (correct)
- 1/(s-a)
What is the Laplace transform of the piecewise function f(t) = t, 0 < t < 1, and f(t) = 0, t ≥ 1?
What is the Laplace transform of the piecewise function f(t) = t, 0 < t < 1, and f(t) = 0, t ≥ 1?
Signup and view all the answers
What is the Laplace transform of the function f(t) = e^(-2t)sin(3t)?
What is the Laplace transform of the function f(t) = e^(-2t)sin(3t)?
Signup and view all the answers
What is the Laplace transform of the Heaviside's function u(t-2)?
What is the Laplace transform of the Heaviside's function u(t-2)?
Signup and view all the answers
What is the Laplace transform of the Dirac delta function δ(t-π/4)?
What is the Laplace transform of the Dirac delta function δ(t-π/4)?
Signup and view all the answers
What is the Laplace transform of the piecewise function f(t) = t, 0 < t < 2, and f(t) = 2, t ≥ 2?
What is the Laplace transform of the piecewise function f(t) = t, 0 < t < 2, and f(t) = 2, t ≥ 2?
Signup and view all the answers
What is the Laplace transform of the function f(t) = e^(2t)cos(4t)?
What is the Laplace transform of the function f(t) = e^(2t)cos(4t)?
Signup and view all the answers
What is the Laplace transform of the Heaviside's function u(t-3)?
What is the Laplace transform of the Heaviside's function u(t-3)?
Signup and view all the answers
