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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.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Example Two tanks T1 and T, 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 Ti will contain at least half as much fertilizer as there will be left in T,? 2 gal/min T 2 gal/min T, Inflow (Outflow) is the product of the inflow (Outflow) concentration of salt and the inflow (Outflow) rate of fluid. y =Inflow/min – Outflow/min. -
Transcribed Image Text:Example Two tanks T1 and T, 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 Ti will contain at least half as much fertilizer as there will be left in T,? 2 gal/min T 2 gal/min T, Inflow (Outflow) is the product of the inflow (Outflow) concentration of salt and the inflow (Outflow) rate of fluid. y =Inflow/min – Outflow/min. -
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