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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.
π‘ Hint: Use the shift for e^(3t).
Question 2
Easy
What is β{e^(5t) * cos(t)}?
π‘ Hint: Start with the transform of cos(t).
Practice 4 more questions and get performance evaluation
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the result of β{e^(2t)sin(3t)}?
π‘ Hint: Start with the basic sin transform.
Question 2
True or False: β{e^(-3t)cos(4t)} = (s+3)/(s^2 + 16)
π‘ Hint: Check the parameters for the cosine function.
Solve and get performance evaluation
Push your limits with challenges.
Question 1
Find the Laplace Transform of e^(5t) * e^(-2t) * sin(3t).
π‘ 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.
π‘ Hint: Break down the problem into two parts first.
Challenge and get performance evaluation