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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the forward interpolation formula?
💡 Hint: Recall the components of the formula from our discussion.
Question 2
Easy
Define finite difference.
💡 Hint: Think about how differences in values help in approximating derivatives.
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 does the forward interpolation formula estimate?
- Value at existing data point
- Value between data points
- Value outside the dataset
💡 Hint: Think of how we fill in gaps in data.
Question 2
True or False: The backward interpolation formula can only estimate values after the last known point.
- True
- False
💡 Hint: Consider what backward means in this context.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the data points (1, 1), (2, 4), (3, 9), and (4, 16), calculate f(2.5) using the forward interpolation formula.
💡 Hint: Set up your forward difference table to help track your computations.
Question 2
Using the same data points, estimate f(3.5) with the backward interpolation formula. Discuss your reasoning.
💡 Hint: Remember that you are predicting backward, so focus on the point at 3.
Challenge and get performance evaluation