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

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the Final Value Theorem (FVT)?

πŸ’‘ 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?

πŸ’‘ Hint: Consider different types of functions and their behavior.

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 calculate?

  • Initial value
  • Steady-state value
  • Instantaneous value

πŸ’‘ Hint: Consider what steady-state means in systems.

Question 2

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

  • True
  • False

πŸ’‘ Hint: Think about conditions we discussed.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: Check the poles before applying FVT.

Question 2

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

πŸ’‘ Hint: Think about the limits as t approaches infinity.

Challenge and get performance evaluation