Practice Step-by-Step Process - 15.4 | 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 is the first step in applying FVT?

πŸ’‘ Hint: Think about what the Laplace transform represents.

Question 2

Easy

What happens if f(t) is oscillatory?

πŸ’‘ Hint: Consider the behavior of oscillating functions over time.

Practice 3 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 FVT help us find?

  • Final Voltage
  • Steady-State Value
  • Impulse Response

πŸ’‘ Hint: Think about what steady-state means in a system.

Question 2

True or False: FVT can be applied to any function.

  • True
  • False

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

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given f(t) = (2 + 3e^{-2t} - e^{-t}), apply FVT to find the final value.

πŸ’‘ Hint: Calculate `F(s)` first before proceeding.

Question 2

Can FVT be applied to f(t) = cos(t)? Justify your answer with reasoning.

πŸ’‘ Hint: Think about whether the function converges.

Challenge and get performance evaluation