A biologist studies a species of bacteria called FAST, her research reveals that FAST bacteria reproduced prodigiously. If a bacteria culture contains 10 FAST bacteria at time t= 0, the number of FAST bacteria in the culture later time 't' is N(t) = 10 +6t +2t2 where 't' is expressed in seconds. How many bacteria occupy the culture a time t = 10s? At t =11s? Calculate how many net bacteria were born during the interval between t=10 and t=11, assume no bacteria died. Now use calculus to find the birth rate of bacteria (rate a

A biologist studies a species of bacteria called FAST, her research reveals that FAST bacteria reproduced prodigiously. If a bacteria culture contains 10 FAST bacteria at time t= 0, the number of FAST bacteria in the culture later time 't' is N(t) = 10 +6t +2t2 where 't' is expressed in seconds. How many bacteria occupy the culture a time t = 10s? At t =11s? Calculate how many net bacteria were born during the interval between t=10 and t=11, assume no bacteria died. Now use calculus to find the birth rate of bacteria (rate a

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Question

How many bacteria occupy the culture a time t = 10s?

At t =11s?

Calculate how many net bacteria were born during the interval between t=10 and t=11, assume no bacteria died.

Now use calculus to find the birth rate of bacteria (rate at which new bacteria get born) at time t=10s, it may help to sketch a rouch graphy of N vs 't'.

Expert Solution

Step 1

Given:

The function of the number of FAST bacteria is $N (t) = 10 + 6 t + 2 t^{2}$ .

Introduction:

To calculate the number of bacteria just substitute the value of time in the expression of function of number.

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