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 at which new bacteria get born) at time t=10s, it may help to sketch a rouch graphy of N vs 't'.
Given:
The function of the number of FAST bacteria is .
Introduction:
To calculate the number of bacteria just substitute the value of time in the expression of function of number.
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