A major corporation is building a large complex of homes, offices, stores, schools, and churches, in a rural community. As a result of this development, planners have estimated that the community's population in thousands t years from now can be given by 25t2 +125t +200 P(t)= 12 +5t+40 Calculate the instantaneous rate of change of the population 10 years from now and interpret your answer in the context of the problem.

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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4. A major corporation is building a large complex of homes, offices, stores, schools, and churches, in a rural
community. As a result of this development, planners have estimated that the community's population in
thousands t years from now can be given by
S
25t +125t +200
P(t)%3D
t' +5t +40
Calculate the instantaneous rate of change of the population 10 years from now and interpret your answer
in the context of the problem.
Nour Vorlk Citz
Transcribed Image Text:4. A major corporation is building a large complex of homes, offices, stores, schools, and churches, in a rural community. As a result of this development, planners have estimated that the community's population in thousands t years from now can be given by S 25t +125t +200 P(t)%3D t' +5t +40 Calculate the instantaneous rate of change of the population 10 years from now and interpret your answer in the context of the problem. Nour Vorlk Citz
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