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.

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+4*t*/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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