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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the basic formula for the first derivative at the end of the data set using backward difference?
💡 Hint: Think about how we represent the operation of difference.
Question 2
Easy
Define round-off error in the context of numerical methods.
💡 Hint: It involves how calculations can deviate due to limited digits.
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 the backward difference formula estimate?
- Integrals
- First and second derivatives
- Functions
💡 Hint: Remember what numerical differentiation is used for.
Question 2
True or False: Backward difference uses earlier data points in calculations.
- True
- False
💡 Hint: Think about which end of the dataset it targets.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a table of values for a function at points (2, 0.9), (2.2, 1.7), (2.4, 2.5), calculate the first derivative at the last point (2.4) using backward difference.
💡 Hint: Fill in the required y-values from your table.
Question 2
In a physics experiment, the acceleration of an object at different time intervals is recorded. Apply backward difference to find the changes in acceleration at the last recorded time.
💡 Hint: Set up your calculations step-by-step with the values.
Challenge and get performance evaluation