Assume that the total number (in millions) of bacteria present in a culture at a certain time
Question:
Assume that the total number (in millions) of bacteria present in a culture at a certain time t (in hours) is given by N(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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a To find Nt the derivative of Nt with respect to t well use the power rule and the chain rule Nt 3t...View the full answer
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Related Book For 
Calculus With Applications
ISBN: 9780321831101
10th Edition
Authors: Margaret L Lial, Raymond N Greenwell, Nathan P Ritchey
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