Practice Definition of Final Value Theorem (FVT) - 15.3.1 | 15. Final Value Theorem | Mathematics - iii (Differential Calculus) - Vol 1
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Practice Questions

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Question 1

Easy

What is the Final Value Theorem?

💡 Hint: Think about the relationship between time-domain and frequency-domain.

Question 2

Easy

List one application of the FVT.

💡 Hint: Consider where steady-state conditions are needed.

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Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does the Final Value Theorem allow us to determine?

  • Initial value
  • Steady-state value
  • Oscillatory behavior

💡 Hint: Focus on what 'final' signifies in the context of a system.

Question 2

The FVT can be applied if poles of sF(s) are in the right half-plane. True or False?

  • True
  • False

💡 Hint: Consider the location of poles and their implications for stability.

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Challenge Problems

Push your limits with challenges.

Question 1

Given f(t) = 2 - e^(-3t), use the FVT to find the final value.

💡 Hint: Watch for your transformations carefully!

Question 2

If f(t) = 1 + e^(-t), assess if FVT applies and calculate.

💡 Hint: Check pole conditions before applying.

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