Find the Average Value of the Function F Over the Given

question 230

Multiple Choice

Find the average value of the function f over the given region.
- $f ( x , y ) = \frac { 1 } { x y }$ over the region bounded by $y = \frac { 1 } { x } , y = \frac { 2 } { x } , x = 2$ , and $x = 4$ .

• A) \(8 \ln 2\)
• B) \(\ln 2\)
• C) \(\frac { 1 } { 2 } \ln 2\)
• D) \(2 \ln 2\)

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Definitions:

Class Average

The mean score or grade of a group of students.

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The degree to which an assessment tool produces stable and consistent results over time.