Practice Applications of Final Value Theorem - 15.6 | 15. Final Value Theorem | Mathematics - iii (Differential Calculus) - Vol 1
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Applications of Final Value Theorem

15.6 - Applications of Final Value Theorem

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the Final Value Theorem help determine?

💡 Hint: Think about the output of a system over time.

Question 2 Easy

What must be true for a function f(t) to use FVT?

💡 Hint: Think about what 'convergence' means.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Final Value Theorem determine?

The amplitude of a wave
The steady-state value of a function
The initial value of a function

💡 Hint: Consider what happens to functions over time.

Question 2

True or False: FVT can be applied to any function regardless of its poles.

True
False

💡 Hint: Remember the conditions for FVT.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Suppose you have f(t) = 4 - e^(-t/2). Calculate the final value using FVT, and explain your steps.

💡 Hint: Ensure that you follow the steps methodically.

Challenge 2 Hard

Explain why FVT fails for the function f(t) = sin(t) using its properties.

💡 Hint: Think about what the behavior of sin(t) is over time.

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