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 skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the division by t rule in Laplace transforms imply?
💡 Hint: Think about the relationship between division and integration.
Question 2
Easy
Explain what it means for a function to be of exponential order.
💡 Hint: Consider functions like e^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 does the division by t rule in Laplace transforms do?
- It multiplies the function by t.
- It integrates the Laplace transform.
- It differentiates the Laplace transform.
💡 Hint: Consider how we relate division and integration.
Question 2
True or False: The division by t rule can be applied on any function regardless of its characteristics.
- True
- False
💡 Hint: Think about function types and their behaviors.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the function f(t) = e^(4t) / t, find its Laplace transform using the division by t property.
💡 Hint: Set up the equation based on what we learned about the division by t rule.
Question 2
Prove that dividing by t transforms the Laplace domain integral into a simpler form. Show your workings with an example function.
💡 Hint: Think about Fubini's theorem and how you can use it to rearrange integrals.
Challenge and get performance evaluation