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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the unit step function.
💡 Hint: Think about its representation in terms of 'a'.
Question 2
Easy
What is the Laplace Transform of u(t)?
💡 Hint: Consider what happens in the frequency domain.
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 the unit step function u(t-a)?
- e^{-as}/s
- as/e^{-s}
- 1/s
💡 Hint: Recall the general formula for shifts.
Question 2
True or False: The unit step function is continuous.
- True
- False
💡 Hint: Think about how the function behaves at the switching point.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
For a function g(t) = 3t * u(t-4), find the Laplace Transform.
💡 Hint: Remember to shift 't' by the delay 'a'.
Question 2
Model a physical system using the unit step function and solve its corresponding differential equation.
💡 Hint: Translate the forces into the terms of the differential equation first.
Challenge and get performance evaluation