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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^(2t) using the First Shifting Theorem.
💡 Hint: Start with the base transform of a constant.
Question 2
Easy
What happens to the Laplace Transform if f(t) = e^(3t) multiplied by t?
💡 Hint: Look at the basic transformation of 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 applying the First Shifting Theorem to e^(2t)sin(bt)?
- (s-2)^2 + b^2
- s^2 + b^2
- s + 2 + b
💡 Hint: Look at how multiplication affects the Laplace domain.
Question 2
True or False: The First Shifting Theorem applies only to polynomial functions.
- True
- False
💡 Hint: Think about all types of functions affected by the theorem.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find the Laplace Transform of the function e^(5t) * cos(3t).
💡 Hint: Start with the basic transform of cos(3t) and adjust for the shifting.
Question 2
Use the First Shifting Theorem to find the Laplace Transform of e^(-t) * e^(2t).
💡 Hint: Deal with each exponential term before applying the theorem.
Challenge and get performance evaluation