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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the Laplace Transform of e^(3t) * f(t) where f(t) = 1.
💡 Hint: Use the shift for e^(3t).
Question 2
Easy
What is ℒ{e^(5t) * cos(t)}?
💡 Hint: Start with the transform of cos(t).
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 result of ℒ{e^(2t)sin(3t)}?
- 3/(s-2)^2 + 9
- 3/(s+2)^2 + 9
- 3/(s-2) + 9
💡 Hint: Start with the basic sin transform.
Question 2
True or False: ℒ{e^(-3t)cos(4t)} = (s+3)/(s^2 + 16)
- True
- False
💡 Hint: Check the parameters for the cosine function.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find the Laplace Transform of e^(5t) * e^(-2t) * sin(3t).
💡 Hint: Combine the exponentials first before applying the theorem.
Question 2
Determine the Laplace Transform of the function e^(3t) * cos(2t) + e^(-t) * t.
💡 Hint: Break down the problem into two parts first.
Challenge and get performance evaluation