Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβperfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a proper rational function.
π‘ Hint: Think about the degrees of polynomials.
Question 2
Easy
What must be done if a rational function is improper?
π‘ Hint: Recall the steps of numerical long division.
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 defines a proper rational function?
- Numerator < Denominator
- Numerator > Denominator
- Numerator = Denominator
π‘ Hint: Focus on powers of the variables.
Question 2
If you have an improper rational function, what is the next step?
- Yes
- No
π‘ Hint: Consider what is necessary for simplification.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Demonstrate the process of polynomial long division for N(s) = s^4 + 2s^3 + s and D(s) = s^2 + 1.
π‘ Hint: Align terms of similar degrees.
Question 2
Evaluate the time-domain effects of the polynomial part obtained from an improper rational function given N(s) = s^3 + 3s and D(s) = s^2 + 1.
π‘ Hint: Identify how the polynomial translates into time-domain behavior.
Challenge and get performance evaluation