Practice Important Notes - 15.7 | 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

Explain the purpose of the Final Value Theorem.

πŸ’‘ Hint: Think about the behavior of systems over a long duration.

Question 2

Easy

What does the Initial Value Theorem help to determine?

πŸ’‘ Hint: Consider the starting point of a function.

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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 calculate?

  • Initial value of f(t)
  • Final value of f(t)
  • Derivative of f(t)

πŸ’‘ Hint: Consider the behavior of f(t) as time progresses.

Question 2

True or False: FVT can be used if poles of sF(s) lie in the right half of the complex plane.

  • True
  • False

πŸ’‘ Hint: Think about the stability conditions discussed.

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Challenge Problems

Push your limits with challenges.

Question 1

Given f(t) = e^(-3t) * cos(4t), determine if you can apply FVT and calculate the steady-state value if possible.

πŸ’‘ Hint: Focus on the damping factor vs frequency.

Question 2

Evaluate if f(t) = e^(2t) fits the criteria for FVT application and identify its limitations.

πŸ’‘ Hint: Examine the exponential growth behavior.

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