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Suppose a 1000 L tank contains 100 L of fresh water at time t = 0. At that time, a salt water solution of concentration 4 g/L enters the tank at the rate of 2 L/min. The well-mixed solution flows out of the tank at the rate of 1L/min. Which of the following initial value problems correctly model the amount M(t) of salt in the tank at time t? M + dt dM 100 = 8, M(0) =0 dM M = 8, M(0) =0 dt 100 +t M = 2, M(0) = 0 dt 100t dM M = 2, M(0) = 0 dt 100 +t O None of the others

Suppose a 1000 L tank contains 100 L of fresh water at time t = 0. At that time, a salt water solution of concentration 4 g/L enters the tank at the rate of 2 L/min. The well-mixed solution flows out of the tank at the rate of 1L/min. Which of the following initial value problems correctly model the amount M(t) of salt in the tank at time t? M + dt dM 100 = 8, M(0) =0 dM M = 8, M(0) =0 dt 100 +t M = 2, M(0) = 0 dt 100t dM M = 2, M(0) = 0 dt 100 +t O None of the others

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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Suppose a 1000 L tank contains 100 L of fresh water at timet =0. At that time, a salt water solution of concentration 4 g/L enters the tank at the rate of 2 L/min. The well-mixed solution flows out of the tank at the rate of 1 L/min. Which of the following initial value problems correctly model the amount M(t) of salt in the tank at time t? dM M + 100 = 8, M(0) = 0 dt M = 8, M(0) = 0 dt 100 +t dM M + 100t = 2, M(0) =0 dt M + 100 +t = 2, M(0) = 0 dt O None of the others
Transcribed Image Text:Suppose a 1000 L tank contains 100 L of fresh water at timet =0. At that time, a salt water solution of concentration 4 g/L enters the tank at the rate of 2 L/min. The well-mixed solution flows out of the tank at the rate of 1 L/min. Which of the following initial value problems correctly model the amount M(t) of salt in the tank at time t? dM M + 100 = 8, M(0) = 0 dt M = 8, M(0) = 0 dt 100 +t dM M + 100t = 2, M(0) =0 dt M + 100 +t = 2, M(0) = 0 dt O None of the others
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