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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the trapezoidal rule approximate?
💡 Hint: Think of how this relates to shapes we know.
Question 2
Easy
Define a function in Python that squares its input.
💡 Hint: What does x represent in programming?
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 type of shape does the trapezoidal rule use for approximation?
- Triangles
- Trapezoids
- Rectangles
💡 Hint: Think about the name of the rule.
Question 2
True or False: The trapezoidal rule can be used for functions with discontinuities.
- True
- False
💡 Hint: Consider how discontinuities might affect the shapes involved.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Using the trapezoidal rule, approximate the integral of f(x) = sin(x) from 0 to π using 10 intervals.
💡 Hint: Consider how the sine function behaves across this interval.
Question 2
Create a Python function using the trapezoidal rule to approximate the integral of f(x) = e^x from 0 to 1 with 20 intervals. Discuss the results.
💡 Hint: Make sure to calculate the heights of the function correctly at intervals.
Challenge and get performance evaluation