Ecologists estimate that, when the population of a certain city is x thousand persons, the average level L of carbon monoxide in the air above the city will be L ppm (parts per million), where L= 30 + 0.4x+ 0.0008x?. The population of the city is estimated to be x = 752 + 23t + 0.5t thousand persons t years from the present. Find the rate of change of carbon monoxide with respect to the population of the city, and the time rate of change of the population when t=2. How fast (with respect to time) is the carbon monoxide level changing at time t = 2? What is the rate of change of carbon monoxide with respect to the population of the city? (Type an expression using x as the variable.)
Ecologists estimate that, when the population of a certain city is x thousand persons, the average level L of carbon monoxide in the air above the city will be L ppm (parts per million), where L= 30 + 0.4x+ 0.0008x?. The population of the city is estimated to be x = 752 + 23t + 0.5t thousand persons t years from the present. Find the rate of change of carbon monoxide with respect to the population of the city, and the time rate of change of the population when t=2. How fast (with respect to time) is the carbon monoxide level changing at time t = 2? What is the rate of change of carbon monoxide with respect to the population of the city? (Type an expression using x as the variable.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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Transcribed Image Text:Ecologists estimate that, when the population of a certain city is x thousand persons, the average level L of carbon monoxide in the air above the city will be L ppm (parts per million), where L= 30 +0.4x+ 0.0008x. The population of the city is
estimated to be x =752 + 23t + 0.5t thousand persons t years from the present. Find the rate of change of carbon monoxide with respect to the population of the city, and the time rate of change of the population when t= 2. How fast (with respect
to time) is the carbon monoxide level changing at time t= 2?
What is the rate of change of carbon monoxide with respect to the population of the city?
(Type an expression using x as the variable.)
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