Question
Asked Dec 3, 2019
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The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches, and is represented by the equation M(x)=19x-x^2.What's rainfall produces the maximum number of mosquitoes?

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Expert Answer

Step 1

According to the given question,

Let x be the June rainfall in inches

And M(x) is the number of mosquitoes in millions.

And M(x) is given by:

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М(x)-19х — х?

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Step 2

To calculate the maximum number of mosquitoes apply second derivative test.

So first...

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M(x) 19x-x M'(x)19-2x put M'(x) 0 19 = x 2 19 2x 0

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Tagged in

Math

Algebra