Practice Step-by-step Process (15.4) - Final Value Theorem - Mathematics - iii (Differential Calculus)

Practise this section

7 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
5 questions · about 3 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is the first step in applying FVT?
Show hintHide hint
Think about what the Laplace transform represents.
Question 2.
What happens if f(t) is oscillatory?
Show hintHide hint
Consider the behavior of oscillating functions over time.
3Question 3.
What does FVT help us find?
- Final Voltage
- Steady-State Value
- Impulse Response
Show hintHide hint
Think about what steady-state means in a system.
4Question 4.
True or False: FVT can be applied to any function.
- True
- False
Show hintHide hint
Consider the conditions for applying FVT.
Question 5.
Given f(t) = (2 + 3e^{-2t} - e^{-t}), apply FVT to find the final value.
Show hintHide hint
Calculate `F(s)` first before proceeding.
Question 6.
Can FVT be applied to f(t) = cos(t)? Justify your answer with reasoning.
Show hintHide hint
Think about whether the function converges.

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