Practice Applications of Final Value Theorem - 15.6 | 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 the output of a system over time.

Question 2

Easy

What must be true for a function f(t) to use FVT?

πŸ’‘ Hint: Think about what 'convergence' means.

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 determine?

  • The amplitude of a wave
  • The steady-state value of a function
  • The initial value of a function

πŸ’‘ Hint: Consider what happens to functions over time.

Question 2

True or False: FVT can be applied to any function regardless of its poles.

  • True
  • False

πŸ’‘ Hint: Remember the conditions for FVT.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Suppose you have f(t) = 4 - e^(-t/2). Calculate the final value using FVT, and explain your steps.

πŸ’‘ Hint: Ensure that you follow the steps methodically.

Question 2

Explain why FVT fails for the function f(t) = sin(t) using its properties.

πŸ’‘ Hint: Think about what the behavior of sin(t) is over time.

Challenge and get performance evaluation