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6-161.

Find the average value of defined below over the given interval. You may solve analytically or use your graphing calculator to evaluate.

  1. over []

  1. over []

Examine the Math Note 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:
or .

And it depends on the question you are being asked:
Find average -value? or Find average rate of change?

In problem 6-161, you are asked to find the average y-value of the given function .