The population of a country in 2010 was approximately 37 million with an annual growth rate of 0.804%. At this rate, the population P (t) (in millions) can beapproximated by P (t) = 37(1.00804), where t is the time in years since 2010. (a) Is the graph of P an increasing or decreasing exponential function?(b) Evaluate P (0) and interpret its meaning in the context of this problem.(c) Evaluate P (6) and interpret its meaning in the context of this problem. Round the population value to the nearest million.(d) Evaluate P (18) and P (30). Round the population value to the nearest million.

As per the guidelines I have solved three subparts of the given problem.Given that the population of…

Answered: The population of a country in 2010 was…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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The population of a country in 2010 was approximately 37 million with an annual growth rate of 0.804%. At this rate, the population P(t) (in millions) can be approximated by P (t) = 37(1.00804)', where t is the time in years since 2010.