A tank contains 300 gal of water and 100 gal of pollutants. Fresh water is pumped into the tank at the rate of 2 gal/min, and the well-stirred mixture leaves at the same rate. How long does it take for the concentration of pollutants in the tank to decrease to 1/10 of the original value?

A tank contains 300 gal of water and 100 gal of pollutants. Fresh water is pumped into the tank at the rate of 2 gal/min, and the well-stirred mixture leaves at the same rate. How long does it take for the concentration of pollutants in the tank to decrease to 1/10 of the original value?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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Question

Show a COMPLETE and LOGICAL solution. Express all computed values with at least FOUR significant figures.
Do not use both definite and indefinite integration to solve the same problem.
A tank contains 300 gal of water and 100 gal of pollutants. Fresh water is pumped into the tank at the rate of
2 gal/min, and the well-stirred mixture leaves at the same rate. How long does it take for the concentration of
pollutants in the tank to decrease to 1/10 of the original value?

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Given that a tank contains 300 gal of water and 100 gal of pollutants.

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Let x(t) be the amount of pollutant at moment time t.

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Now, we find the time taken for the concentration to decrease to 1/10 of the original value.

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