Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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The birth rate, B, in births per hour, of a
bacteria/hour
bacteria population is given in the figure.
The curve marked D gives the death rate,
in deaths per hour, of the same population.
B
D
(a) Explain what the shape of each of these
graphs tells you about the population.
10
15
20
time (hours)
In the beginning the birth and death rates are both increasing.
Which is growing faster? The death rate is growing faster.
Later, the birth rate
decreases.
After about 11 hours, the population begins increasing.
(b) Use the graphs to find the time at which the net rate of increase
of the population is at a maximum.
The net rate of increase
is at a maximum after about
12 hours.
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Transcribed Image Text:The birth rate, B, in births per hour, of a bacteria/hour bacteria population is given in the figure. The curve marked D gives the death rate, in deaths per hour, of the same population. B D (a) Explain what the shape of each of these graphs tells you about the population. 10 15 20 time (hours) In the beginning the birth and death rates are both increasing. Which is growing faster? The death rate is growing faster. Later, the birth rate decreases. After about 11 hours, the population begins increasing. (b) Use the graphs to find the time at which the net rate of increase of the population is at a maximum. The net rate of increase is at a maximum after about 12 hours.
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