Practice Final Value Theorem - 15.1 | 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 does the Final Value Theorem help to determine?

💡 Hint: Think about system responses over time.

Question 2

Easy

State one condition for applying FVT.

💡 Hint: Consider where the poles should be located.

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 is the purpose of the Final Value Theorem?

  • To find initial values
  • To determine steady-state values
  • To perform inverse transforms

💡 Hint: It relates to analyzing systems over time.

Question 2

Is the following statement true or false? 'FVT is valid when all poles are in the right half-plane.'

  • True
  • False

💡 Hint: Think about pole locations in the complex plane.

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Challenge Problems

Push your limits with challenges.

Question 1

Given the function f(t) = e^(-t)(cos(t) + 1), find the final value using FVT. Consider the behavior in time as well.

💡 Hint: You might need to consider the oscillatory behavior.

Question 2

Create a function that has poles in both left and right half-planes. Explain why this function cannot use FVT.

💡 Hint: Think about stability in engineering contexts.

Challenge and get performance evaluation