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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define absolute error in your own words.
💡 Hint: Think about what it means to be exact.
Question 2
Easy
How is relative error calculated?
💡 Hint: Use the formula: Relative Error = |x_exact - x_approx| / |x_exact|.
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 absolute error?
- A) The difference between two approximate values.
- B) The difference between the exact value and the approximate value.
- C) The percentage of error compared to the exact value.
💡 Hint: Remember the definition you learned in class.
Question 2
Is the following statement true or false? 'Stability in numerical algorithms means that errors will not grow during calculations.'
- True
- False
💡 Hint: Think about what stability means in an everyday context.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the equation x = 1/(1-x), analyze how small changes in x affect the output when x approaches 1. Discuss whether the function is well or ill-conditioned.
💡 Hint: Use the concept of derivatives to help understand the sensitivity.
Question 2
Describe a scenario in engineering where numerical stability is critical. What can happen if an unstable algorithm is used?
💡 Hint: Consider systems where safety is a priority.
Challenge and get performance evaluation