1.11 - Additional Exercise (Practice)
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Practice Questions
Test your understanding with targeted questions
Find the Laplace Transform of e^(3t) * f(t) where f(t) = 1.
💡 Hint: Use the shift for e^(3t).
What is ℒ{e^(5t) * cos(t)}?
💡 Hint: Start with the transform of cos(t).
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the result of ℒ{e^(2t)sin(3t)}?
💡 Hint: Start with the basic sin transform.
True or False: ℒ{e^(-3t)cos(4t)} = (s+3)/(s^2 + 16)
💡 Hint: Check the parameters for the cosine function.
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Challenge Problems
Push your limits with advanced challenges
Find the Laplace Transform of e^(5t) * e^(-2t) * sin(3t).
💡 Hint: Combine the exponentials first before applying the theorem.
Determine the Laplace Transform of the function e^(3t) * cos(2t) + e^(-t) * t.
💡 Hint: Break down the problem into two parts first.
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Reference links
Supplementary resources to enhance your learning experience.