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The Following Numbers Are the Left, Right, Trapezoidal, and Midpoint 01f(x)dx\int_{0}^{1} f(x) d x

question 179

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The following numbers are the left, right, trapezoidal, and midpoint approximations to 01f(x)dx\int_{0}^{1} f(x) d x , where f(x)is as shown.(Each uses the same number of subdivisions.)
• 0.36735
• 0.39896
• 0.36814
• 0.33575  The following numbers are the left, right, trapezoidal, and midpoint approximations to  \int_{0}^{1} f(x) d x  , where f(x)is as shown.(Each uses the same number of subdivisions.) • 0.36735 • 0.39896 • 0.36814 • 0.33575   Which one is the midpoint approximation? Which one is the midpoint approximation?

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Definitions:

Human Intuition

The ability to understand something immediately, without the need for conscious reasoning.

Common Sense

Practical judgment concerning everyday matters or a basic ability to perceive, understand, and judge in a manner that is shared by (common to) nearly all people.

Randomly Assign

A method in research where participants are allocated to different groups or conditions in a completely unpredictable manner to ensure objectivity.

Between-Subjects Design

Participants are exposed to only one level of the independent variable

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