Practice Introduction - 15.2 | 15. Final Value Theorem | Mathematics - iii (Differential Calculus) - Vol 1
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Introduction

15.2 - Introduction

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the Final Value Theorem (FVT)?

💡 Hint: Think about the long-term behavior of systems.

Question 2 Easy

Why is it important to verify if the limits exist before applying FVT?

💡 Hint: Consider different types of functions and their behavior.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Final Value Theorem calculate?

Initial value
Steady-state value
Instantaneous value

💡 Hint: Consider what steady-state means in systems.

Question 2

The FVT can be applied only if f(t) converges to a:

True
False

💡 Hint: Think about conditions we discussed.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a system with the transfer function G(s) = 5/(s^2 + 5s + 6), find the final value of f(t) using the FVT.

💡 Hint: Check the poles before applying FVT.

Challenge 2 Hard

Analyze if FVT can be applied to f(t) = cos(2t) + e^(-t) and explain your reasoning.

💡 Hint: Think about the limits as t approaches infinity.

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