In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000+ dP dt a) Find the growth rate, b) Find the population after 15 yr. c) Find the growth rate at t = 15. d) Explain the meaning of the answer to part (c). . 9000t².

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 74E
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In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000+ 9000t².
a) Find the growth rate,
dP
dt
b) Find the population after 15 yr.
c) Find the growth rate at t = 15.
d) Explain the meaning of the answer to part (c).
a)
dP
dt
=
Transcribed Image Text:In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000+ 9000t². a) Find the growth rate, dP dt b) Find the population after 15 yr. c) Find the growth rate at t = 15. d) Explain the meaning of the answer to part (c). a) dP dt =
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