Practice Theoretical Background - 15.3 | 15. Final Value Theorem | Mathematics - iii (Differential Calculus) - Vol 1
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβ€”perfect for learners of all ages.

games

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the Final Value Theorem help determine?

πŸ’‘ Hint: Think about system responses over time.

Question 2

Easy

Can FVT be applied to functions with oscillatory behavior?

πŸ’‘ Hint: Remember the conditions for applying FVT.

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 Final Value Theorem relate to?

  • Initial State
  • Final State
  • Both

πŸ’‘ Hint: Focus on the application of FVT.

Question 2

If a function f(t) has an oscillatory behavior, can FVT be used?

  • True
  • False

πŸ’‘ Hint: Reflect on the conditions needed for FVT.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given f(t) = t^2 e^(-t), determine the steady-state value using the Final Value Theorem.

πŸ’‘ Hint: Be careful with polynomial terms in Laplace transforms.

Question 2

Analyze f(t) = sin(2t) + cos(3t) to see if FVT applies. What is the conclusion?

πŸ’‘ Hint: Focus on the nature of trigonometric functions over time.

Challenge and get performance evaluation