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A tank contains 200 gallons of water in which 300 grams of salt is dissolved. A brine solution containing 0.4 kilograms of salt per gallon of water is pumped into the tank at the rate of 5 gallons per minute, and the well-stirred mixture is pumped out at the same rate. Let A(t) represent the amount of salt (in kilograms) in the tank at time t. The initial value problem for A(t) is dA A =2- • dt A(0)=0.3 40 The amount of salt in the tank at time t can be found by solving this first order linear DE, it is Select the

A tank contains 200 gallons of water in which 300 grams of salt is dissolved. A brine solution containing 0.4 kilograms of salt per gallon of water is pumped into the tank at the rate of 5 gallons per minute, and the well-stirred mixture is pumped out at the same rate. Let A(t) represent the amount of salt (in kilograms) in the tank at time t. The initial value problem for A(t) is dA A =2- • dt A(0)=0.3 40 The amount of salt in the tank at time t can be found by solving this first order linear DE, it is Select the

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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QUESTION 2 A tank contains 200 gallons of water in which 300 grams of salt is dissolved. A brine solution containing 0.4 kilograms of salt per gallon of water is pumped into the tank at the rate of 5 gallons per minute, and the well-stirred mixture is pumped out at the same rate. Let A(t) represent the amount of salt (in kilograms) in the tank at time t. dA The initial value problem for A(t) is =2- dt 40 A(0)=0.3 The amount of salt in the tank at time t can be found by solving this first order linear DE, it is Select the correct answer.
Transcribed Image Text:QUESTION 2 A tank contains 200 gallons of water in which 300 grams of salt is dissolved. A brine solution containing 0.4 kilograms of salt per gallon of water is pumped into the tank at the rate of 5 gallons per minute, and the well-stirred mixture is pumped out at the same rate. Let A(t) represent the amount of salt (in kilograms) in the tank at time t. dA The initial value problem for A(t) is =2- dt 40 A(0)=0.3 The amount of salt in the tank at time t can be found by solving this first order linear DE, it is Select the correct answer.
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