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A fish population grew according to the following quadratic model, the number of fish a day is given by

P(t)=800t-t^2

What is the initial growth rate a t=0​

Respuesta :

mberisso

Answer:

800 fish per day is the initial growth rate of the fish population

Step-by-step explanation:

The growth rate is the derivative of the population function with respect to time (t). Therefore, we need to calculate the derivative of P(t) and evaluate it at t=0:

[tex]\frac{d\,P(t)}{dt} =800-2\,t\\[/tex]

which evaluated at t = 0 becomes:

[tex]800-2\,(0)=800[/tex]

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