Answered: 36. Revenue from New Home Sales Revenue…

36. Revenue from New Home Sales Revenue from the sale of new homes in the United States decreased dramatically from 2005 to 2010 as shown in the model r(t) = 412e-0.323t billion dollars per year (0

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

36. Revenue from New Home Sales Revenue from the sale of new homes in the United
States decreased dramatically from 2005 to 2010 as shown in the model
r(t) = 412e-0.323t billion dollars per year (0 <t < 5),
where t is the year since 2005. * If this trend were to have continued into the indefinite future,
estimate the total revenue from the sale of new homes in the United States from 2005 on. [Hint:
See Example 1.]

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