Estimating the Area Under a Graph (VCE SSCE Mathematical Methods): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What are the three main methods for estimating areas under curves?
What are the three main methods for estimating areas under curves?
Left-endpoint, right-endpoint, trapezium
Which method provides the most accurate approximation?
Which method provides the most accurate approximation?
The trapezium rule
For a decreasing function, what does the left-endpoint method produce?
For a decreasing function, what does the left-endpoint method produce?
An overestimate (larger than true area)
For an increasing function, what does the right-endpoint method produce?
For an increasing function, what does the right-endpoint method produce?
An overestimate (larger than true area)
What is the formula for the area of a trapezium?
What is the formula for the area of a trapezium?
How is the trapezium estimate related to endpoint estimates?
How is the trapezium estimate related to endpoint estimates?
It's the average of the two endpoint estimates
In the trapezium rule formula, how do function values appear?
In the trapezium rule formula, how do function values appear?
First & last once, intermediates times 2
In the notation , what is called?
In the notation , what is called?
The integrand
How can you improve the accuracy of area estimates?
How can you improve the accuracy of area estimates?
Use narrower strips (more subdivisions)
For linear functions, how can you find exact areas?
For linear functions, how can you find exact areas?
Use geometric formulas for shapes