A shallow reservoir has a one-square-kilometer water surface and an average water depth of 4 meters. Initially it is filled with fresh water, but at time t =0 water contaminated with a liquid pollutant begins flowing into the reservoir at the rate of 500 thousand cubic meters per month. The well-mixed water in the reservoir flows out at the same rate. Your first task is to find the amount x(t) of pollutant (in millions of liters) in the reservoir after t months. The incoming water has a pollutant concentration of c(t) = 20 liters per cubic meter (L/m³). Verify that the graph of x(t) resembles the steadily rising curve shown here, which approaches asymptotically the graph of the equilibrium solution x(t) = 80 that corresponds to the reservoir's long-term pollutant content. How long does it take the pollutant content in the reservoir to reach 16 /m°? 80- 60- 40- 20어 04 20 40 x(t) = It takes (Type an exact answer.) months for the reservoir to reach 16 L/m3.

A shallow reservoir has a one-square-kilometer water surface and an average water depth of 4 meters. Initially it is filled with fresh water, but at time t =0 water contaminated with a liquid pollutant begins flowing into the reservoir at the rate of 500 thousand cubic meters per month. The well-mixed water in the reservoir flows out at the same rate. Your first task is to find the amount x(t) of pollutant (in millions of liters) in the reservoir after t months. The incoming water has a pollutant concentration of c(t) = 20 liters per cubic meter (L/m³). Verify that the graph of x(t) resembles the steadily rising curve shown here, which approaches asymptotically the graph of the equilibrium solution x(t) = 80 that corresponds to the reservoir's long-term pollutant content. How long does it take the pollutant content in the reservoir to reach 16 /m°? 80- 60- 40- 20어 04 20 40 x(t) = It takes (Type an exact answer.) months for the reservoir to reach 16 L/m3.

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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