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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the formula for Newton's Backward Interpolation?
💡 Hint: Look for the structure of the interpolation formula in your notes.
Question 2
Easy
Define finite differences.
💡 Hint: Think about how we approximate 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 u represent in Newton's backward interpolation formula?
- The next y value
- The last known y value
- The relative position of x
💡 Hint: Think about how u connects to the values of x.
Question 2
True or False: Newton's Backward Interpolation is suited for estimating values near the start of a dataset.
- True
- False
💡 Hint: Recall the specific application of this formula.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
With known data points (1, 2), (2, 6), and (4, 24), estimate f(3) using the backward interpolation formula. Show your calculations for each step.
💡 Hint: Make sure to verify the backward differences used.
Question 2
Given data points of y-values at (1, 1), (2, 4), (3, 9), (4, 16), use backward interpolation to find f(3.5). Display all workings.
💡 Hint: Take your time to check the step size and differences defined.
Challenge and get performance evaluation