The Trapezoidal Rule (Leaving Cert Mathematics): Quizzes

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The Trapezoidal Rule
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What is the primary purpose of the trapezoidal rule?

Find approx. areas of irregular shapes

Which professionals frequently use the trapezoidal rule?

Engineers and surveyors

In the formula h2[first+last+2(middle)]\frac{h}{2}[\text{first} + \text{last} + 2(\text{middle})], which ordinates are multiplied by 2?

Middle/remaining ordinates

How many ordinates are needed for 5 strips?

6 ordinates

What are the vertical measurements in the trapezoidal rule called?

Offsets or ordinates

What happens to accuracy when you use more strips (narrower widths)?

Accuracy improves

In the trapezoidal rule formula, what does hh represent?

Width of each strip

For ordinates 20, 15, 18, 12, which values are the 'middle ordinates'?

15 and 18

Using h=2h=2, ordinates 0,10,8,0, find area using h2[first+last+2(middle)]\frac{h}{2}[\text{first}+\text{last}+2(\text{middle})]

36 square units

For measurements above and below a baseline, how do you find the total ordinate?

Add above and below values

Does the trapezoidal rule give an exact or approximate area?

Gives approximate area

If a surveyor uses 6 strips, how many ordinates are required?

7 ordinates

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