Pollution from a factory is entering a lake. The rate of concentration of the pollutant at time t is given by P ' ( t ) = 90 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. a. Set up the definite integral that gives the total pollutant concentration in the lake after 4 years. b. Can the factory operate for 4 years without killing all the fish in the lake
Pollution from a factory is entering a lake. The rate of concentration of the pollutant at time t is given by P ' ( t ) = 90 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. a. Set up the definite integral that gives the total pollutant concentration in the lake after 4 years. b. Can the factory operate for 4 years without killing all the fish in the lake
Pollution from a factory is entering a lake. The rate of concentration of the pollutant at time t is given by P ' ( t ) = 90 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. a. Set up the definite integral that gives the total pollutant concentration in the lake after 4 years. b. Can the factory operate for 4 years without killing all the fish in the lake
Pollution from a factory is entering a lake. The rate of concentration of the pollutant at time t is given by P ' ( t ) = 90 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.
a. Set up the definite integral that gives the total pollutant concentration in the lake after 4 years.
b. Can the factory operate for 4 years without killing all the fish in the lake?
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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