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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the prerequisite condition for applying Partial Fraction Expansion?
π‘ Hint: Think about what makes a rational function proper.
Question 2
Easy
Define a proper rational function.
π‘ Hint: Check the degrees of numerator and denominator.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What technique is used for finding the inverse Laplace Transform of rational functions?
- Direct Inversion
- Partial Fraction Expansion
- Polynomial Long Division
π‘ Hint: Which method allows for decomposition into simpler parts?
Question 2
T/F: The degree of the numerator for an improper rational function is less than that of the denominator.
- True
- False
π‘ Hint: Think of what defines a proper function in contrast to an improper one.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the function 3s/(s^3 - 3s^2 + 3s - 3), perform a complete PFE and inverse transform.
π‘ Hint: Evaluate at the poles after fraction decomposition for coefficient extraction.
Question 2
For a system described by the transfer function H(s), with both complex and repeated poles, determine the system's response based on the inverse Laplace Transform.
π‘ Hint: Keep track of causality and ensure all conditions are met in your response.
Challenge and get performance evaluation