The projected population of a small city t years from now is given by P(t) = 40t^3 - 270t^2 + 18000. Using calculus, find the maximum population and the minimum population over the next 11 years.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter39: Symbolism And Algebraic Expressions
Section: Chapter Questions
Problem 5A
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The projected population of a small city t years from now is given by P(t) = 40t^3 - 270t^2 + 18000. Using calculus, find the maximum population and the minimum population over the next 11 years.
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