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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the transform of t * u(t).
π‘ Hint: Use the property L{t * x(t)} = -d/ds [X(s)].
Question 2
Easy
What is the Laplace Transform of t * e^(at) u(t)?
π‘ Hint: Find the transform of e^(at) first.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
Multiplying a signal by 't' results in which operation in the s-domain?
- Addition
- Differentiation
- Multiplication
π‘ Hint: Remember the property we discussed.
Question 2
True or False: The Laplace Transform of t * x(t) is equal to d/ds [X(s)].
- True
- False
π‘ Hint: Check the negative sign in the property.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given x(t) = t * e^(-2t) * u(t), find L{x(t)} using the multiplication by 't' property.
π‘ Hint: Don't forget to differentiate with care!
Question 2
For x(t) = t^2 * sin(3t) u(t), compute its Laplace Transform.
π‘ Hint: Remember to use the property iteratively for higher powers of t.
Challenge and get performance evaluation