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 is the Heaviside step function?
💡 Hint: Think about how it behaves around a certain time threshold.
Question 2
Easy
State the Second Shifting Theorem.
💡 Hint: Recall the relationship of the original and delayed transformations using e^{-as}.
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 Second Shifting Theorem relate to?
- Activation of functions
- Transformation of delayed functions
- Integration techniques
💡 Hint: Think about the relationship between time delays and their mathematical transformations.
Question 2
True or False: The Heaviside function is not necessary when applying the Second Shifting Theorem.
- True
- False
💡 Hint: How would the activation model look if the Heaviside function is omitted?
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given f(t) = e^{2t}u(t-1), find its Laplace Transform using the Second Shifting Theorem.
💡 Hint: Use the property of transforms and that you need to adjust for the shift in time.
Question 2
Explain how the Second Shifting Theorem would apply if f(t) = t^2u(t-3) and find the transform.
💡 Hint: Identify the transform of t² first before considering the shift in time.
Challenge and get performance evaluation