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 system function H(s)?
π‘ Hint: Remember the basic definition we've discussed.
Question 2
Easy
Define impulse response.
π‘ Hint: Think about the output when a sudden force is applied.
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 H(s)?
- The derivative of the output
- The Laplace Transform of the impulse response
- An integration variable
π‘ Hint: Look at the definition we emphasized.
Question 2
True or False: H(s) can be derived from Y(s) and X(s) under any initial condition.
- True
- False
π‘ Hint: Consider the importance of starting at zero.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given h(t) = e^{-3t}u(t), derive H(s) and explain its significance.
π‘ Hint: Recall the form of the Laplace Transform for exponentials.
Question 2
For the impulse response h(t) = sin(2t)u(t), derive H(s) and describe its behavior.
π‘ Hint: Think about using standard Laplace transform pairs.
Challenge and get performance evaluation