Question: differential equation question initially 50 pounds of sugar is dissolved...
Differential Equation Question:
Initially 50 pounds of sugar is dissolved in a large tank
holding 600 gallons of pure water. A sugar solution containing 6
pounds of sugar per gallon is pumped into the tank at the rate of 3
gallons per minute, the mixture is stirred continuously, and then
sugar solution is pumped out at the same rate. Let Q(t) represent
the amount of sugar in the tank at time t.
Determine the amount of sugar in the tank at time t = 10 minutes. (Round your answer to a whole number.)
Q = ? lbs