15.1 - Final Value Theorem
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Practice Questions
Test your understanding with targeted questions
What does the Final Value Theorem help to determine?
💡 Hint: Think about system responses over time.
State one condition for applying FVT.
💡 Hint: Consider where the poles should be located.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the purpose of the Final Value Theorem?
💡 Hint: It relates to analyzing systems over time.
Is the following statement true or false? 'FVT is valid when all poles are in the right half-plane.'
💡 Hint: Think about pole locations in the complex plane.
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Challenge Problems
Push your limits with advanced challenges
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.
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.
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