Home > APCALC > Chapter 6 > Lesson 6.4.3 > Problem 6-154
For each part below, calculate the average value of
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Examine the Math Notes box about about Mean (average) Value. Notice that there are two strategies to compute Mean (average) Value.
Strategy 1: Compute the average area under the curve.
Strategy 2: Compute a slope of a secant line.
WARNING: These strategies can NOT be used interchangeably. The strategy you choose depends on the function you are given:
And it depends on the question you are being asked:
Find average y-value? or Find average rate of change?
Average (Mean) Values
To calculate the mean (average) value of a finite set of items, add up the values of items and divide by the number of items. Integrals help us add over a continuous interval. Therefore, for any continuous function | |
Since |