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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the Laplace transform of a constant function f(t) = 1?
💡 Hint: Think about how constants behave in the s-domain.
Question 2
Easy
What is the Laplace transform for f(t) = t?
💡 Hint: Consider how polynomial transforms relate to factorials.
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
What is the Laplace transform of f(t) = cos(at)?
- a/(s^2 + a^2)
- s/(s^2 + a^2)
- 1/s
💡 Hint: Focus on the placement of 's' and 'a' in the formula.
Question 2
True or False: The Laplace transform of f(t) = t^n is given by n!/s^(n+1).
- True
- False
💡 Hint: Try recalling the form of polynomial transformations.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find the Laplace transform of the function f(t) = t^3 + e^(2t) + sin(5t).
💡 Hint: Break it down into pieces using known transforms for each part.
Question 2
A function is defined as f(t)= { 0, t<0; t^2, t≥0; e^(2t)sin(t), t≥0 }. Compute its Laplace transform.
💡 Hint: You can handle each piece separately and apply known transforms!
Challenge and get performance evaluation