Practice - Multiplication by 't' in Time Domain Property
Practice Questions
Test your understanding with targeted questions
Find the transform of t * u(t).
💡 Hint: Use the property L{t * x(t)} = -d/ds [X(s)].
What is the Laplace Transform of t * e^(at) u(t)?
💡 Hint: Find the transform of e^(at) first.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Multiplying a signal by 't' results in which operation in the s-domain?
💡 Hint: Remember the property we discussed.
True or False: The Laplace Transform of t * x(t) is equal to d/ds [X(s)].
💡 Hint: Check the negative sign in the property.
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Challenge Problems
Push your limits with advanced challenges
Given x(t) = t * e^(-2t) * u(t), find L{x(t)} using the multiplication by 't' property.
💡 Hint: Don't forget to differentiate with care!
For x(t) = t^2 * sin(3t) u(t), compute its Laplace Transform.
💡 Hint: Remember to use the property iteratively for higher powers of t.
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Reference links
Supplementary resources to enhance your learning experience.