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
Find the Laplace Transform of e^(2t) using the First Shifting Theorem.
💡 Hint: Start with the base transform of a constant.
Question 2
Easy
What happens to the Laplace Transform if f(t) = e^(3t) multiplied by t?
💡 Hint: Look at the basic transformation of 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 is the result of applying the First Shifting Theorem to e^(2t)sin(bt)?
- (s-2)^2 + b^2
- s^2 + b^2
- s + 2 + b
💡 Hint: Look at how multiplication affects the Laplace domain.
Question 2
True or False: The First Shifting Theorem applies only to polynomial functions.
- True
- False
💡 Hint: Think about all types of functions affected by the theorem.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find the Laplace Transform of the function e^(5t) * cos(3t).
💡 Hint: Start with the basic transform of cos(3t) and adjust for the shifting.
Question 2
Use the First Shifting Theorem to find the Laplace Transform of e^(-t) * e^(2t).
💡 Hint: Deal with each exponential term before applying the theorem.
Challenge and get performance evaluation