The fish population in a certain part of the ocean (in thousands of fish) as a function of the water's temperature (in degrees celsius) is modeled by: p(x)=-2(x-9)^2+200, what is the maximum number of fish?

Step-by-step explanation:

Given that the fish population in a certain part of the ocean (in thousands of fish) as a function of the water's temperature (in degrees celsius) is modeled by: .

To find maximum number of fish, we use derivative test

Since second derivative is positive,

there will not be any maximum but only minimum

Minimum when x=9 and minimum population

p(x) =200

Maximum when x -infinity

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step-by-step explanation: