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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the formula for Simpson's 3/8 Rule?
💡 Hint: Make sure to remember the sums and how the intervals are grouped.
Question 2
Easy
Why must n be a multiple of 3 in Simpson's 3/8 Rule?
💡 Hint: Think about the pattern of the sequence of coordinates used in the calculation.
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 defining aspect of Simpson's 3/8 Rule?
- Uses linear equations
- Uses cubic polynomials
- Uses triangular elements
💡 Hint: Think about the types of formulas we've discussed.
Question 2
True or False: Simpson's 3/8 Rule can be applied when n is any integer.
- True
- False
💡 Hint: Review the conditions needed for this method.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Estimate the integral of f(x) = cos(x) from 0 to π/2 using Simpson's 3/8 Rule with n=3. Calculate the error involved.
💡 Hint: Make sure to first compute the necessary function values for the approximation.
Question 2
Discuss the advantages of using Simpson's 3/8 Rule over the Trapezoidal Rule for approximating integrals and provide example scenarios.
💡 Hint: Consider how curves behave differently from straight lines.
Challenge and get performance evaluation