The graph in the figure shows a population as a function of the date d. 400 350 300 250 200 150 100 50 2006 2008 2010 2012 2014 2016 d = Date (a) Explain in general terms how the population N changes with time. o The population growth is level at first and then the growth becomes very rapid. It maintains the rapid growth. o The population grows rapidly at first and then the growth is exponential. It maintains the exponential growth. o The population grows rapidly at first and then the growth slows. Eventually it levels off. o The population grows slowly at first and then the growth becomes more rapid. It maintains the rapid growth. The population does not change with time. (b) When does the population reach 100? d = (c) When is the population increasing most rapidly? d = N(d) = Population

The graph in the figure shows a population as a function of the date d. 400 350 300 250 200 150 100 50 2006 2008 2010 2012 2014 2016 d = Date (a) Explain in general terms how the population N changes with time. o The population growth is level at first and then the growth becomes very rapid. It maintains the rapid growth. o The population grows rapidly at first and then the growth is exponential. It maintains the exponential growth. o The population grows rapidly at first and then the growth slows. Eventually it levels off. o The population grows slowly at first and then the growth becomes more rapid. It maintains the rapid growth. The population does not change with time. (b) When does the population reach 100? d = (c) When is the population increasing most rapidly? d = N(d) = Population

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Exponential Growth Model

The relation that represents an exponential function is:

Question

6.
DETAILS
The graph in the figure shows a population as a function of the date d.
400
350
300
250
200
150
100
50
2006
2008
2010
2012
2014
2016
d = Date
(a) Explain in general terms how the population N changes with time.
o The population growth is level at first and then the growth becomes very rapid. It maintains the rapid growth.
o The population grows rapidly at first and then the growth is exponential. It maintains the exponential growth.
o The population grows rapidly at first and then the growth slows. Eventually it levels off.
o The population grows slowly at first and then the growth becomes more rapid. It maintains the rapid growth.
o The population does not change with time.
(b) When does the population reach 100?
d =
(c) When is the population increasing most rapidly?
d =
N(d) = Population

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