Find the Average Value of the Function F Over the Given

question 274

Multiple Choice

Find the average value of the function f over the given region.
- $f ( x , y ) = \frac { 1 } { x y }$ over the square $1 \leq x \leq 3,1 \leq y \leq 3$ .

• A) \(\left( \frac { \ln 3 } { 2 } \right) ^ { 2 }\)
• B) \(\left( \frac { \ln 3 } { 3 } \right) ^ { 2 }\)
• C) \(\frac { \ln 3 } { 9 }\)
• D) \(\frac { \ln 3 } { 4 }\)

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Definitions:

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Act of Settlement

A 1701 act passed by the Parliament of England that secured the Protestant succession to the throne and established restrictions on the powers of the monarchy.

Protestant Rule

The governance or dominant influence of Protestant denominations in a political or social context.

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Refers to Oliver Cromwell, a key figure in British history who led the parliamentary forces in the English Civil War and later ruled as Lord Protector.