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 purpose of the Inverse Laplace Transform?
π‘ Hint: Think about what engineers need to measure.
Question 2
Easy
Define a proper rational function.
π‘ Hint: Consider the relationship between degrees.
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 does the Inverse Laplace Transform do?
- Converts time-domain to s-domain
- Converts s-domain to time-domain
- None of the above
π‘ Hint: Think about the function direction.
Question 2
True or False: A proper rational function can have the same degree in numerator and denominator.
- True
- False
π‘ Hint: Recall the rules of rational functions.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the function X(s) = (4s^2 + 5)/(s^3 + 3s^2 + 2s), perform PFE and compute the inverse Laplace Transform to obtain x(t).
π‘ Hint: Evaluate the roots of the denominator carefully.
Question 2
For X(s) = (s + 4)/(s^2 + 2s + 5), apply PFE and find the time-domain representation. Consider the form of the quadratic carefully.
π‘ Hint: What is the nature of the polar components youβre working with?
Challenge and get performance evaluation