3. Pollution Pollution from a factory is entering a lake. The rate of concentration of the pollutant at time t is given by P'(1) = 140r², where t is the number of years since the factory started intro- ducing pollutants into the lake. Ecologists estimate that the lake can accept a total level of pollution of 4850 units before all the fish life in the lake ends. Can the factory operate for 4 years without killing all the fish in the lake?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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63. Pollution Pollution from a factory is entering a lake. The rate
of concentration of the pollutant at time 1 is given by
P'(1) = 140/2.
where t is the number of years since the factory started intro-
ducing pollutants into the lake. Ecologists estimate that the lake
can accept a total level of pollution of 4850 units before all the
fish life in the lake ends. Can the factory operate for 4 years
without killing all the fish in the lake?
Transcribed Image Text:63. Pollution Pollution from a factory is entering a lake. The rate of concentration of the pollutant at time 1 is given by P'(1) = 140/2. where t is the number of years since the factory started intro- ducing pollutants into the lake. Ecologists estimate that the lake can accept a total level of pollution of 4850 units before all the fish life in the lake ends. Can the factory operate for 4 years without killing all the fish in the lake?
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