An environmental study indicates that the average daily level P of a certain pollutant in the air, in parts per million, can be modeled by the equation P(n) = 0.05V 0.7n² + Sn + 27 where n is the number of residents of the community, in thousands. Find the rate at which the level of pollutant is increasing when the population of the community is 14,000. (Round your answer to three decimal places.) ppm/thousand residents
An environmental study indicates that the average daily level P of a certain pollutant in the air, in parts per million, can be modeled by the equation P(n) = 0.05V 0.7n² + Sn + 27 where n is the number of residents of the community, in thousands. Find the rate at which the level of pollutant is increasing when the population of the community is 14,000. (Round your answer to three decimal places.) ppm/thousand residents
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![An environmental study indicates that the average daily level \( P \) of a certain pollutant in the air, in parts per million, can be modeled by the equation
\[
P(n) = 0.05 \sqrt{0.7n^2 + 5n + 27}
\]
where \( n \) is the number of residents of the community, in thousands. Find the rate at which the level of pollutant is increasing when the population of the community is 14,000. (Round your answer to three decimal places.)
\[ \text{ppm/thousand residents} \]
\[ \boxed{} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b42a4e3-d8c3-4e59-af97-f04240a64541%2F12574ca7-8ac5-4983-8f5c-61f5ab6cbedc%2Feloqcg7_processed.png&w=3840&q=75)
Transcribed Image Text:An environmental study indicates that the average daily level \( P \) of a certain pollutant in the air, in parts per million, can be modeled by the equation
\[
P(n) = 0.05 \sqrt{0.7n^2 + 5n + 27}
\]
where \( n \) is the number of residents of the community, in thousands. Find the rate at which the level of pollutant is increasing when the population of the community is 14,000. (Round your answer to three decimal places.)
\[ \text{ppm/thousand residents} \]
\[ \boxed{} \]
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