Let and Compute the Riemann Sum of F Over

question 125

Short Answer

Let and compute the Riemann sum of f over the interval , choosing the representative points to be the midpoints of the subintervals, using:
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Two subintervals of equal length .
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__________ sq units
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Five subintervals of equal length .
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__________ sq units
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Ten subintervals of equal length .
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__________ sq units
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Can you guess at the area of the region under the graph of f on the interval ?
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≈ __________sq units

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Definitions:

ΣX / N

The formula for calculating the mean of a set of data, where ΣX is the sum of all data points and N is the number of data points.

Arithmetic Average

Another term for the mean, calculated as the sum of all values divided by the number of values.

Frequency Value

The count of how many times a specific data point or value appears within a dataset.

Central Tendency

A measure that represents the center or typical value of a dataset, which includes the mean, median, and mode.