
Understanding Simpson's Rule and Parabolas

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Lucas Foster
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary focus when transitioning from rectangles and trapeziums to parabolas?
Focusing on the area under a parabola
Increasing the number of rectangles
Increasing the number of trapeziums
Reducing the number of function values
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many function values are needed to construct one parabola?
Three
Four
Five
Two
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can't the trapezoidal rule be used in the same way as Simpson's rule?
It only works with even numbers of function values
It requires more function values
It is less accurate
It doesn't allow for overlapping intervals
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key requirement for using Simpson's rule?
More trapeziums than parabolas
Equal number of rectangles and trapeziums
Odd number of function values
Even number of function values
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In Simpson's rule, what does 'h' represent?
The height of the parabola
The number of function values
The width of the sub-intervals
The total area under the curve
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the area under a parabola calculated using Simpson's rule?
Using the formula h/3
Using the formula h/2
Using the formula h/5
Using the formula h/4
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What pattern is observed in the coefficients of Simpson's rule?
Coefficients alternate between 1 and 3
Coefficients alternate between 2 and 4
All coefficients are the same
Coefficients are all odd numbers
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