Practice Applications Of Final Value Theorem (15.6)

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6 sample questions

Question 1.
What does the Final Value Theorem help determine?
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Think about the output of a system over time.
Question 2.
What must be true for a function f(t) to use FVT?
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Think about what 'convergence' means.
3Question 3.
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
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Consider what happens to functions over time.
4Question 4.
True or False: FVT can be applied to any function regardless of its poles.
- True
- False
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Remember the conditions for FVT.
Question 5.
Suppose you have f(t) = 4 - e^(-t/2). Calculate the final value using FVT, and explain your steps.
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Ensure that you follow the steps methodically.
Question 6.
Explain why FVT fails for the function f(t) = sin(t) using its properties.
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Think about what the behavior of sin(t) is over time.

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