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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate the forward difference for the points (3, 6) and (4, 10).
💡 Hint: Remember the forward difference formula Δy = y(i+1) - y(i).
Question 2
Easy
What is the backward difference for the points (5, 15) and (4, 10)?
💡 Hint: Use the backward difference formula ∇y = y(i) - y(i-1).
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 is the formula for the forward difference?
- Δy = y(i+1) - y(i)
- ∇y = y(i) - y(i-1)
- Central = (Δy + ∇y)/2
💡 Hint: Look for the option using next point.
Question 2
True or False: Backward difference calculates the change between a point and the following point.
- True
- False
💡 Hint: Recall the definition of backward difference.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the data points (1, 3), (2, 5), (3, 7), and (4, 11), calculate and interpret both forward and backward differences.
💡 Hint: Use the differences as you progress through the data points.
Question 2
How would a change in the central point affect the interpolation of the surrounding points? Provide a mathematical example.
💡 Hint: Consider realigning data points to see the effects.
Challenge and get performance evaluation