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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is an improper rational function?
π‘ Hint: Consider the definitions of degrees in polynomials.
Question 2
Easy
Identify the first step in handling an improper rational function.
π‘ Hint: Think about how to simplify the rational function.
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 is the first step in handling an improper rational function?
- Apply PFE
- Perform polynomial long division
- Take the inverse transform
π‘ Hint: Think about how to transition from improper to proper.
Question 2
True or False: A proper rational function has a numerator degree lower than the denominator degree.
- True
- False
π‘ Hint: Recall the definition of degrees in polynomials.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Transform N(s) = s^3 + 4s^2 + 6s + 8 and D(s) = s^2 + 2s + 3 into its equivalent time-domain function.
π‘ Hint: Take it step by step through each transformation and remnant.
Question 2
Given the transfer function (s^2 - 1)/(s^2 + 2), find the time-domain representation using the appropriate methods.
π‘ Hint: Keep track of the unit step to maintain causality in your final expression.
Challenge and get performance evaluation