SOLUTION: The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x)=19x-x^2. What rainfall produces the maximum number of mosquitoes?
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Question 238157: The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x)=19x-x^2. What rainfall produces the maximum number of mosquitoes? Answer by JimboP1977(308) (Show Source):
You can put this solution on YOUR website! Need to find the peak of the graph or when the gradient is = 0
Therefore
-2x+19 = gradient of the graph
set gradient = 0 then x = 9.5
