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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define numerical differentiation.
π‘ Hint: Think about what derivative means!
Question 2
Easy
What is the formula for the forward difference method?
π‘ Hint: Look for the method that uses the next point in the data.
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 central difference formula?
π‘ Hint: It uses points around the target value.
Question 2
True or False: The error in the Trapezoidal Rule decreases quadratically as the number of intervals increases.
- True
- False
π‘ Hint: Consider how error relates to the number of intervals.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Using the Gaussian Quadrature method, approximate the integral of sin(x) from 0 to Ο/2.
π‘ Hint: Think about the optimal nodes for the sine function over that interval.
Question 2
Demonstrate how varying the step size impacts the error in applying the forward difference method to find the derivative of f(x) = xΒ².
π‘ Hint: Try computing the derivative with h = 0.1, h = 0.01, and h = 0.001.
Challenge and get performance evaluation