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10.11.2019 •
Mathematics
Atank contains 100 gal of fresh water. a solution containing 2 lb/gal of soluble lawn fertilizer runs into the tank at the rate of 1 gal/min, and the mixture is pumped out of the tank at the rate of find the maximum amount of fertilizer in the tank and the time required to reach the maximum.
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Ответ:
This ODE is separable, and you can write
Integrating both sides gives
At
so that the amount of fertilizer in the tank is given by
This function is constantly increasing, so it never achieves its maximum, but there is a strict upper bound as
Ответ:
Step-by-step explanation: