15.5 - Examples
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Practice Questions
Test your understanding with targeted questions
State the Final Value Theorem.
💡 Hint: Remember the left-hand side is what we want to find.
What is the first step in applying FVT?
💡 Hint: Look for the transformation rules you previously learned.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does FVT help determine?
💡 Hint: Recall the purpose of the theorem!
True or False: FVT cannot be applied if any poles of sF(s) are in the right half-plane.
💡 Hint: Think about the implications of system stability.
1 more question available
Challenge Problems
Push your limits with advanced challenges
For f(t) = e^(-3t), apply FVT to predict the long-term behavior. What is the final value?
💡 Hint: Remember to look for potential limits as s approaches zero.
Discuss the implications of applying FVT incorrectly on a control system's stability analysis.
💡 Hint: Think about what happens if the assumptions for convergence are violated.
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Reference links
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