Trapezoidal Rule (Leaving Cert Mathematics): Quizzes

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Trapezoidal Rule
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What does the Trapezoidal Rule compute?

Approx. area under curve

What is used to divide the interval for the Trapezoidal Rule?

Equal parts

In the formula, what does hh represent?

Width of intervals

What points are evaluated in the rule?

all division points

How is the area estimated in the example 1?

22.0 units

What is the approximate area in example 2?

6.7 units

What is the key purpose of the Trapezoidal Rule?

Approx.Area under curve

When is the Trapezoidal Rule especially useful?

For irregular shapes

What is the general formula for the Trapezoidal Rule?

h/2h/2 times sum of specific f(x)f(x)

How does the number of parts (nn) affect accuracy?

Increases it

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