2.4 - Newton’s Backward Interpolation Formula
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Practice Questions
Test your understanding with targeted questions
What is the formula for Newton's Backward Interpolation?
💡 Hint: Look for the structure of the interpolation formula in your notes.
Define finite differences.
💡 Hint: Think about how we approximate derivatives.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does u represent in Newton's backward interpolation formula?
💡 Hint: Think about how u connects to the values of x.
True or False: Newton's Backward Interpolation is suited for estimating values near the start of a dataset.
💡 Hint: Recall the specific application of this formula.
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Challenge Problems
Push your limits with advanced challenges
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.
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.
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