Example Two tanks T₁ and T₂ each contain 100 gal of water each. In T₁ the water is pure, whereas 150 lb of fertilizer are dissolved in T2. By circulating liquid at a rate of 2 gal/min and stirring (to keep the mixture uniform) the amounts of fertilizer y₁ (t) in T₁ and y2(t) in T₂ change with time t. How long should we let the liquid circulate, so that T₁ will contain at least half as much fertilizer as there will be left in T₂? 2 gal/min T₁ 2 gal/min T₂ Inflow (Outflow) is the product of the inflow (Outflow) concentration of salt and the inflow (Outflow) rate of fluid. y₁=Inflow/min - Outflow/min.
Example Two tanks T₁ and T₂ each contain 100 gal of water each. In T₁ the water is pure, whereas 150 lb of fertilizer are dissolved in T2. By circulating liquid at a rate of 2 gal/min and stirring (to keep the mixture uniform) the amounts of fertilizer y₁ (t) in T₁ and y2(t) in T₂ change with time t. How long should we let the liquid circulate, so that T₁ will contain at least half as much fertilizer as there will be left in T₂? 2 gal/min T₁ 2 gal/min T₂ Inflow (Outflow) is the product of the inflow (Outflow) concentration of salt and the inflow (Outflow) rate of fluid. y₁=Inflow/min - Outflow/min.
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
Section2.3: Solving Linear Equations
Problem 25E
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