Practice Step-by-Step Process - 15.4 | 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

Step-by-Step Process

15.4 - Step-by-Step Process

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 first step in applying FVT?

💡 Hint: Think about what the Laplace transform represents.

Question 2 Easy

What happens if f(t) is oscillatory?

💡 Hint: Consider the behavior of oscillating functions over time.

3 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does FVT help us find?

Final Voltage
Steady-State Value
Impulse Response

💡 Hint: Think about what steady-state means in a system.

Question 2

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

True
False

💡 Hint: Consider the conditions for applying FVT.

Get performance evaluation

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Calculate `F(s)` first before proceeding.

Challenge 2 Hard

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

💡 Hint: Think about whether the function converges.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.