1.1.2 - Types of Finite Differences
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Practice Questions
Test your understanding with targeted questions
What is the formula for the forward difference?
💡 Hint: Think about how we define changes in functions.
Define backward difference.
💡 Hint: Consider how we look at the previous function value.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the forward difference calculate?
💡 Hint: Remember the definition of forward difference.
Is the center difference method always more accurate than forward and backward methods?
💡 Hint: Think about accuracy in approximations.
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Challenge Problems
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Given a set of function values for f(x): f(1) = 2, f(2) = 5, f(3) = 10, construct a difference table and find the second differences. Use this to predict f(4).
💡 Hint: Start by calculating the first differences, then proceed to the second.
Create a real-life scenario where finite differences could play a role in predicting outcomes. Analyze the impacts based on different incremental values.
💡 Hint: Look for patterns when calculating with different years.
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