Pollution from a factory is entering a lake. The rate of concentration of the pollutant at time t is given by P ' ( t ) =175 t 1/2 , where t is the number of years since the factory started introducing pollutants into the lake. Ecologists estimate that the lake can accept a level of pollution of 4850 units before all fish life in the lake ends. Can the factory operate for 5 years without killing all the fish in the lake? Set up the definite integral that gives the total pollutant concentration in the lake after 5 years.
Pollution from a factory is entering a lake. The rate of concentration of the pollutant at time t is given by P ' ( t ) =175 t 1/2 , where t is the number of years since the factory started introducing pollutants into the lake. Ecologists estimate that the lake can accept a level of pollution of 4850 units before all fish life in the lake ends. Can the factory operate for 5 years without killing all the fish in the lake? Set up the definite integral that gives the total pollutant concentration in the lake after 5 years.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 99E: Radioactive decay Uranium-234 has a half-life of 2.7x105 Years. (a)Find the amount remaining from a...
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Pollution from a factory is entering a lake. The rate of concentration of the pollutant at time t is given by P ' ( t ) =175 t 1/2 , where t is the number of years since the factory started introducing pollutants into the lake. Ecologists estimate that the lake can accept a level of pollution of 4850 units before all fish life in the lake ends. Can the factory operate for 5 years without killing all the fish in the lake?
Set up the definite
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