The carbon monoxide level in a city is predicted to be 0.02x3/2 + 1 ppm (parts per million), where x is the population in thousands. In t years the population of the city is predicted to be x(t) = 12 + 2t thousand people. Therefore, in t years the carbon monoxide level will be P(t) = 0.02(12 + 2t)3/2 + 1 ppm. Find P'(12), the rate at which carbon monoxide pollution will be increasing in 12 years. P'(12) =
The carbon monoxide level in a city is predicted to be 0.02x3/2 + 1 ppm (parts per million), where x is the population in thousands. In t years the population of the city is predicted to be x(t) = 12 + 2t thousand people. Therefore, in t years the carbon monoxide level will be P(t) = 0.02(12 + 2t)3/2 + 1 ppm. Find P'(12), the rate at which carbon monoxide pollution will be increasing in 12 years. P'(12) =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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The carbon monoxide level in a city is predicted to be 0.02x3/2 + 1 ppm (parts per million), where x is the population in thousands. In t years the population of the city is predicted to be x(t) = 12 + 2t thousand people. Therefore, in t years the carbon monoxide level will be
P(t) = 0.02(12 + 2t)3/2 + 1 ppm.
Find P'(12), the rate at which carbon monoxide pollution will be increasing in 12 years.
P'(12) =
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