Laplace Transform Quiz: Test!

Approved & Edited by ProProfs Editorial Team

The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.

Learn about Our Editorial Process

| By Dasari Nagaraju

Dasari Nagaraju

Community Contributor

Quizzes Created: 1 | Total Attempts: 1,234

Questions: 10 | Attempts: 1,234 | Updated: Mar 21, 2023

Quiz Flashcard

Questions

Settings

Feedback

During the Quiz End of Quiz

Difficulty

Sequential Easy First Hard First

Create your own Quiz

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

Questions and Answers

1.
- A.
  
  True
- B.
  
  False
Correct Answer
A. True
2.
- A.
  
  True
- B.
  
  False
Correct Answer
A. True
3.
- A.
  
  True
- B.
  
  False
Correct Answer
B. False
4.
- A.
  
  True
- B.
  
  False
Correct Answer
B. False
5.

L(f * g) = L(f).L(g)
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
The given statement is the multiplication property of the Laplace transform. According to this property, the Laplace transform of the product of two functions is equal to the product of their individual Laplace transforms. Therefore, the statement is true.

Rate this question:

1
6.

L^-1(F(s) + G(s)) = f(t)+ g(t)
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
The given equation represents the Laplace transform of the sum of two functions, F(s) and G(s), which is equal to the sum of the time-domain representations of those functions, f(t) and g(t). This is a fundamental property of the Laplace transform, known as the linearity property. Therefore, the statement is true.

Rate this question:
7.

L^-1(F(s) G(s)) = f(t) g(t)
- A.
  
  True
- B.
  
  False
Correct Answer
B. False

Explanation
The given equation L-1(F(s) G(s)) = f(t) g(t) is false. The Laplace inverse of the product of two Laplace transforms is not equal to the product of their inverse transforms. Therefore, the statement is incorrect.

Rate this question:
8.
- A.
  
  True
- B.
  
  False
Correct Answer
A. True
9.

L(f ‘) = sL(f) – f(0)
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
The given equation L(f') = sL(f) - f(0) is a valid equation in Laplace transform theory. It states that the Laplace transform of the derivative of a function f is equal to s times the Laplace transform of f minus the value of f at 0. This equation holds true and is commonly used in solving differential equations using Laplace transforms.

Rate this question:
10.

L(f(t)/t) = -F’(s)
- A.
  
  True
- B.
  
  False
Correct Answer
B. False

Explanation
The given equation L(f(t)/t) = -F'(s) is not true. This is because the left-hand side of the equation represents the Laplace transform of the function f(t)/t, while the right-hand side represents the derivative of the Laplace transform of the function F(s). These two expressions are not equivalent, so the equation is false.

Rate this question:

1

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

Current Version
Mar 21, 2023

Quiz Edited by
ProProfs Editorial Team
Mar 16, 2018

Quiz Created by
Dasari Nagaraju

Laplace Transform Quiz: Test!

L(f * g) = L(f).L(g)

L-1(F(s) + G(s)) = f(t)+ g(t)

L-1(F(s) G(s)) = f(t) g(t)

L(f ‘) = sL(f) – f(0)

L(f(t)/t) = -F’(s)

L^-1(F(s) + G(s)) = f(t)+ g(t)

L^-1(F(s) G(s)) = f(t) g(t)