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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define interpolation in your own words.
💡 Hint: Think about how you would predict a temperature for a day not directly measured.
Question 2
Easy
What is a forward difference?
💡 Hint: Use the formula Δy = y(i+1) - y(i) for clarity.
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 interpolation primarily used for?
- Estimating unknown values
- Finding maximum values
- Deriving equations
💡 Hint: Think about the gaps between data points.
Question 2
True or False: Interpolation can be used for equally and unequally spaced data.
- True
- False
💡 Hint: Consider all methods discussed.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Using the points (1, 1), (2, 4), (3, 9), estimate f(2.5) using Lagrange's interpolation.
💡 Hint: Think of how you'd construct the Lagrange polynomial using the three points.
Question 2
Given equally spaced data points (0, 1), (1, 1.5), (2, 2), estimate f(1.5) using Newton's forward method.
💡 Hint: Calculate forward differences first to use them effectively.
Challenge and get performance evaluation