Practice Central Difference Interpolation Formulas - 2.5 | 2. Interpolation Formulas | Mathematics - iii (Differential Calculus) - Vol 4
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define central difference interpolation.

💡 Hint: What does it mean to look both ways in interpolation?

Question 2

Easy

What is Stirling's Formula used for?

💡 Hint: Think about where you would place a midpoint.

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 Central Difference Interpolation rely on to estimate a function's value?

  • Forward differences
  • Evenly spaced points
  • Surrounding data points

💡 Hint: Think about where the estimation gets its influences.

Question 2

True or false: Stirling's Formula is used for points near the beginning of a dataset.

  • True
  • False

💡 Hint: Where does Stirling prefer to work?

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Challenge Problems

Push your limits with challenges.

Question 1

Given data points (1, f(1)), (2, f(2)), (3, f(3)), and (4, f(4)), use Stirling's formula to estimate f(2.5) if f(1), f(2), f(3), and f(4) are known.

💡 Hint: Identify the differences in y-values first.

Question 2

Analyze a set of five data points and determine the best way to interpolate a value close to the middle using both Stirling's and Bessel’s formulas. Discuss their outcomes.

💡 Hint: How do the results differ based on placements?

Challenge and get performance evaluation