It is estimated that t months from now, the population of a certain town will be changing at the rate of 125 + t2 people per month. If the current population is 10000, what will the population be a year from now?

It is estimated that t months from now, the population of a certain town will be changing at the rate of 125 + t2 people per month. If the current population is 10000, what will the population be a year from now?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 9T

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Question

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Topic: Integration of Functions of a Single Variable

Solve the following completely.

It is estimated that t months from now, the population of a certain town will be changing
at the rate of 125 + t2 people per month. If the current population is 10000, what will the
population be a year from now?

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

Expert Solution