An environmental study in a community shows that the level of a certain pollutant in the air is L(P)=sqrt(P) parts per million (ppm), where P is the population in heads, and the population of the community is P(t)=70t^2+200, where t is years (yr) after  2000. A) Write a composition function that represents the pollution level as a function of time, the use the chain rule to find its derivative with respect to time

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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An environmental study in a community shows that the level of a certain pollutant in the air is L(P)=sqrt(P) parts per million (ppm), where P is the population in heads, and the population of the community is P(t)=70t^2+200, where t is years (yr) after  2000.

A) Write a composition function that represents the pollution level as a function of time, the use the chain rule to find its derivative with respect to time

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