Practice Introduction (15.2) - Final Value Theorem - Mathematics - iii (Differential Calculus)

Practise this section

9 questions

Flashcard drill
3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is the Final Value Theorem (FVT)?
Show hintHide hint
Think about the long-term behavior of systems.
Question 2.
Why is it important to verify if the limits exist before applying FVT?
Show hintHide hint
Consider different types of functions and their behavior.
3Question 3.
What does the Final Value Theorem calculate?
- Initial value
- Steady-state value
- Instantaneous value
Show hintHide hint
Consider what steady-state means in systems.
4Question 4.
The FVT can be applied only if f(t) converges to a:
- True
- False
Show hintHide hint
Think about conditions we discussed.
Question 5.
Given a system with the transfer function G(s) = 5/(s^2 + 5s + 6), find the final value of f(t) using the FVT.
Show hintHide hint
Check the poles before applying FVT.
Question 6.
Analyze if FVT can be applied to f(t) = cos(2t) + e^(-t) and explain your reasoning.
Show hintHide hint
Think about the limits as t approaches infinity.

5 more questions in this section. Enroll free to practise them all.