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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the definition of a divided difference?
💡 Hint: Think about how you calculate the changes in y values.
Question 2
Easy
What is the first term in Newton's interpolation formula?
💡 Hint: It’s always the initial value of f.
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 divided difference for points (1,2) and (2,4)?
- 1
- 2
- 3
💡 Hint: Focus on the formula for divided differences.
Question 2
True or False: Divided differences can only be calculated if data points are evenly spaced.
- True
- False
💡 Hint: Think about the flexibility of this method.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the points (0, 1), (1, 3), (2, 2), (3, 5), derive the polynomial using Newton's Divided Differences and find the value at x=1.5.
💡 Hint: Make sure to carefully calculate each section of your divided difference table.
Question 2
You have data points (2, 4), (3, 1), (5, 3). Create a Newton's divided difference table and find f(4).
💡 Hint: Watch out for negative differences that can affect your calculations!
Challenge and get performance evaluation