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Solve the Problem M(x)M ( x ) , in Millions, in a Certain Area Depends on the )

question 260

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Solve the problem.
-The number of mosquitoes M(x) M ( x ) , in millions, in a certain area depends on the June rainfall xx , in inches: M(x) =2xx2M ( x ) = 2 x - x ^ { 2 } . What rainfall produces the maximum number of mosquitoes?


Definitions:

Vienna Genesis

An illuminated manuscript, essentially a fragment of a 6th-century Greek copy of the Book of Genesis, known for its early Byzantine miniatures.

Pages

In historical contexts, pages were young attendants or trainees serving nobility, often part of their education in courtly manners and knightly training.

Purple

A color that has historically been associated with royalty, nobility, and spirituality due to the rarity and cost of the purple dye which was traditionally made from sea snails.

Third Rome

A concept asserting that a city, state, or country is the successor to the legacy of ancient Rome, claiming a transfer of cultural and political leadership.

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