Practice Proof of the Second Shifting Theorem - 1.5 | 4. Second Shifting Theorem | Mathematics - iii (Differential Calculus) - Vol 1
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Engineering Courses
Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Certifications
Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Proof of the Second Shifting Theorem

1.5 - Proof of the Second Shifting Theorem

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.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the Heaviside step function represent?

💡 Hint: Think about when signals start.

Question 2 Easy

State the Second Shifting Theorem.

💡 Hint: Focus on the relationship between original and shifted functions.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the Laplace transform of a delayed function?

It does not exist
It is e^(-as)F(s)
It is F(s)/e^(-as)

💡 Hint: Recall the theorem's statement.

Question 2

True or False: The Heaviside function is used for functions that start at a given time.

True
False

💡 Hint: Think about its definition and purpose.

Get performance evaluation

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Determine the Laplace transform of the function u(t - 4)(t - 4)(t - 5).

💡 Hint: Start by identifying the base function you'll transform.

Challenge 2 Hard

Prove how the Heaviside function alters the transform for f(t) = e^(-t) and if it affects its existing properties.

💡 Hint: Consider the definition and behavior of the Heaviside function in your proof.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.