Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβperfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the Laplace Transform of the unit step function?
π‘ Hint: Recall the definition of the unit step function.
Question 2
Easy
What is the ROC for L{e^{-at}u(t)}?
π‘ Hint: Consider the impact of the exponential decay.
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?
- 1/s
- s
- e^{-s}
π‘ Hint: Think about what the unit step function signifies.
Question 2
True or False: The ROC for L{delta(t)} is the entire complex s-plane.
- True
- False
π‘ Hint: Consider the nature of impulse functions and their transforms.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a signal defined as x(t) = e^{-3t}u(t), find its Laplace Transform and explain its implications.
π‘ Hint: Focus on applying the exponential transformation rule.
Question 2
For the function x(t) = sin(2t)u(t), determine the Laplace Transform and discuss the frequency aspects.
π‘ Hint: Think about the sine function's periodic nature in relation to its transform.
Challenge and get performance evaluation