Practice Conditions for Applying Final Value Theorem - 15.3.2 | 15. Final Value Theorem | Mathematics - iii (Differential Calculus) - Vol 1
Students

Academic Programs

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

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

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

Conditions for Applying Final Value Theorem

15.3.2 - Conditions for Applying Final Value 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 is the Final Value Theorem?

💡 Hint: Refer to the definition discussed.

Question 2 Easy

List one of the conditions for applying the FVT.

💡 Hint: Think about stability in the equations.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Final Value Theorem calculate?

The initial value
Steady-state value
The average value over time

💡 Hint: Remember what final values mean in the context of systems.

Question 2

If poles of sF(s) are in the right half-plane, is FVT valid?

True
False

💡 Hint: Visualize the complex plane and the implications for stability.

Get performance evaluation

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given f(t) = cos(t), analyze the conditions for applying FVT and explain the results.

💡 Hint: Consider how oscillation affects convergence.

Challenge 2 Hard

Consider f(t) = e^(2t). Discuss whether FVT can be applied and justify your reasoning.

💡 Hint: Focus on the exponential growth in your analysis.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.