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A tank containing 100 gallons of water initially has 40lbs of salt dissolved in it. A solution containing 0.25 lbs of salt per gallon is pumped into the tank at a rate of 4 gallons per minute. The solution is then mixed thoroughly and is removed from the tank at the same rate of 4 gallons per minute. a. Set up a differential equation and solve for Q(t) the amount of salt in the tank dQ at time t. Recall that = amount in- amount out. dt b. What is lim Q(t)? t-8

A tank containing 100 gallons of water initially has 40lbs of salt dissolved in it. A solution containing 0.25 lbs of salt per gallon is pumped into the tank at a rate of 4 gallons per minute. The solution is then mixed thoroughly and is removed from the tank at the same rate of 4 gallons per minute. a. Set up a differential equation and solve for Q(t) the amount of salt in the tank dQ at time t. Recall that = amount in- amount out. dt b. What is lim Q(t)? t-8

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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2. A tank containing 100 gallons of water initially has 40lbs of salt dissolved in it. A solution containing 0.25 lbs of salt per gallon is pumped into the tank at a rate of 4 gallons per minute. The solution is then mixed thoroughly and is removed from the tank at the same rate of 4 gallons per minute. a. Set up a differential equation and solve for Q(t) the amount of salt in the tank at time t. Recall that amount out. b. What is lim Q(t)? dQ dt = amount in -
Transcribed Image Text:2. A tank containing 100 gallons of water initially has 40lbs of salt dissolved in it. A solution containing 0.25 lbs of salt per gallon is pumped into the tank at a rate of 4 gallons per minute. The solution is then mixed thoroughly and is removed from the tank at the same rate of 4 gallons per minute. a. Set up a differential equation and solve for Q(t) the amount of salt in the tank at time t. Recall that amount out. b. What is lim Q(t)? dQ dt = amount in -
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