Practice Conditions for Applying Final Value Theorem - 15.3.2 | 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?

πŸ’‘ Hint: Refer to the definition discussed.

Question 2

Easy

List one of the conditions for applying the FVT.

πŸ’‘ Hint: Think about stability in the equations.

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?

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

πŸ’‘ 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

πŸ’‘ Hint: Visualize the complex plane and the implications for stability.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: Consider how oscillation affects convergence.

Question 2

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

πŸ’‘ Hint: Focus on the exponential growth in your analysis.

Challenge and get performance evaluation