Wine is leaking from a barrel at the rate of r(t) = 10 − 0.1t litres per minute.
i) If the barrel is empty after 100 minutes, how much wine did the barrel initially
ii) How much wine is in the barrel after 60 minutes?
I have never worked with flow before so just wanted to make sure what I was doing was correct.
I took the integral of the flow. Then put t = 100 in to find the c value. I found the value to be negative 500 so I think I did something wrong.
Am I going about this the right way?