Question
Asked Mar 14, 2019

A population of 500 bacteria is introduced into a culture. The number of bacteria in the culture after t hours is given by the equation attached. Find the rate at which the population is growing when t=2.

50+12
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50+12

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Step 1

To find the rate of the population growth of the bacteria at time t=2 hours.

Step 2

The rate of growth of the population of 500 bacteria is given by the equation P (t) =500(1+4t/50+t^2).

Step 3

 

The rate of growth of population with respect to t is its derivative.

Consider the equati...

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Calculus

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