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Calculus / Calculus with Applications 10 / Chapter 4.2 / Problem 50A

Calculus with Applications | 10th Edition | ISBN: 9780321749000 | Authors: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

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Bacteria Population Assume that the total number (in

Chapter 4, Problem 50A

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QUESTION:

Bacteria Population Assume that the total number (in millions) of bacteria present in a culture at a certain time t (in hours) is given byN(t) =3t(t ? 10)2 + 40.a. Find N?(t).Find the rate at which the population of bacteria is changing at the following times.________________b. 8 hours________________c. 11 hours________________d. The answer in part b is negative, and the answer in part c is positive. What does this mean in terms of the population of bacteria?

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QUESTION:

Bacteria Population Assume that the total number (in millions) of bacteria present in a culture at a certain time t (in hours) is given byN(t) =3t(t ? 10)2 + 40.a. Find N?(t).Find the rate at which the population of bacteria is changing at the following times.________________b. 8 hours________________c. 11 hours________________d. The answer in part b is negative, and the answer in part c is positive. What does this mean in terms of the population of bacteria?

ANSWER:

Solution :Step 1 :In this problem, we have to find and rate of change of the population of the bacteria .

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