SOLUTION: The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches, according to the equation M(x) = 10x-x^2. What rainfall produces the maximu

SOLUTION: The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches, according to the equation M(x) = 10x-x^2. What rainfall produces the maximu

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Question 583660: The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches, according to the equation M(x) = 10x-x^2. What rainfall produces the maximum number of mosquitoes?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
M(x) = 10x - x^2
The maximum number of mosquitoes is obtained where dM/dx = 0:
dM/dx = 0 = 10 - 2x
This gives x = 5 in.
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