Laplace Transform Quiz: Test!

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| By Dasari Nagaraju
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Dasari Nagaraju
Community Contributor
Quizzes Created: 1 | Total Attempts: 1,312
| Attempts: 1,322
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  • 1/10 Questions

    L(f ‘) = sL(f) – f(0)

    • True
    • False
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About This Quiz

The 'Laplace Transform Quiz: Test!' evaluates understanding of key concepts in Laplace transforms, essential for students in engineering mathematics. It tests knowledge on properties, inverse transforms, and differential equations using true\/false format, enhancing problem-solving skills relevant to technical disciplines.

Laplace Transform Quiz: Test! - Quiz

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  • 2. 

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

    • True

    • 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.

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  • 3. 
    - ProProfs

    • True

    • False

    Correct Answer
    A. True
  • 4. 

    • True

    • False

    Correct Answer
    A. True
  • 5. 

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

    • True

    • 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.

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  • 6. 

    • True

    • False

    Correct Answer
    A. True
  • 7. 

    L(f(t)/t) = -F’(s)

    • True

    • False

    Correct Answer
    A. 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.

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  • 8. 

    • True

    • False

    Correct Answer
    A. False
  • 9. 

    • True

    • False

    Correct Answer
    A. False
  • 10. 

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

    • True

    • False

    Correct Answer
    A. 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.

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Quiz Review Timeline (Updated): Mar 21, 2023 +

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
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