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A 1000 gallon tank contains 50 gallons of water with 4 lb of salt initially. A solution with concentration 3 lb/gal of salt is pumped into the tank at a rate of 4 gal/min. The well-stirred mixture leaves at a rate of 3 gal/min. Let Q(t) denote the amount of salt, measured in lb, in the tank at time t in minutes. For the time interval that is physically relevant, the initial value problem describing the amount of salt at time t is Q' (t) = 12- - Q' (t) = 12- Q' (t) = 12 - Q' (t) = 12 - 3Q (t) 1000 + t' 3Q (t) 50 3Q (t) 50 - t' 3Q (t) 50+ t' Q(0) = 4 Q(0) = 4 Q(0) = 4 Q(0) = 4

A 1000 gallon tank contains 50 gallons of water with 4 lb of salt initially. A solution with concentration 3 lb/gal of salt is pumped into the tank at a rate of 4 gal/min. The well-stirred mixture leaves at a rate of 3 gal/min. Let Q(t) denote the amount of salt, measured in lb, in the tank at time t in minutes. For the time interval that is physically relevant, the initial value problem describing the amount of salt at time t is Q' (t) = 12- - Q' (t) = 12- Q' (t) = 12 - Q' (t) = 12 - 3Q (t) 1000 + t' 3Q (t) 50 3Q (t) 50 - t' 3Q (t) 50+ t' Q(0) = 4 Q(0) = 4 Q(0) = 4 Q(0) = 4

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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A 1000 gallon tank contains 50 gallons of water with 4 lb of salt initially. A solution with concentration 3 lb/gal of salt is pumped into the tank at a rate of 4 gal/min. The well-stirred mixture leaves at a rate of 3 gal/min. Let Q(t) denote the amount of salt, measured in lb, in the tank at time t in minutes. For the time interval that is physically relevant, the initial value problem describing the amount of salt at time t is Q' (t) = 12 - Q' (t) = 12- Q' (t) = 12 - Q' (t) = 12 - 3Q (t) 1000 + t' 3Q (t) 50 3Q (t) 50 - t' 3Q (t) 50 + t' Q(0) = 4 Q(0) = 4 Q(0) = 4 Q(0) = 4
Transcribed Image Text:A 1000 gallon tank contains 50 gallons of water with 4 lb of salt initially. A solution with concentration 3 lb/gal of salt is pumped into the tank at a rate of 4 gal/min. The well-stirred mixture leaves at a rate of 3 gal/min. Let Q(t) denote the amount of salt, measured in lb, in the tank at time t in minutes. For the time interval that is physically relevant, the initial value problem describing the amount of salt at time t is Q' (t) = 12 - Q' (t) = 12- Q' (t) = 12 - Q' (t) = 12 - 3Q (t) 1000 + t' 3Q (t) 50 3Q (t) 50 - t' 3Q (t) 50 + t' Q(0) = 4 Q(0) = 4 Q(0) = 4 Q(0) = 4
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