I need help about solving this problem.
a) How do I find the time required to reach the maximum amount of fertilizer in the tank in minutes?
b) What is the maximum amount of fertilizer in the tank in lb?
Let F be the amount of fertilizer. In 1 minute 1 gallon of solution comes in and 5 gallons of solution goes out. So net loss per minute is (5-1)=4 gallons.
After t minutes there will be 200-4t gallons of solution.
The concentration of fertilizer at time t=F/(200-4t)
Since there are 5 gallons per minute going out, the amount of fertilizer going out is 5 gallons/minute times F/(200-4t) lb/gallon= 5F/(200-4t)
Then we find the integrat...
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