lulu5563
11.10.2021 •
Mathematics
Homecoming 2021 at surry county highschool
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Daniel Talkington
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Nathen Turner
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Maliki
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Ответ:
Step-by-step explanation:
The volume of fluid in the tank = 300 Liters
Initial amount of Salt in the tank, A(0)=10 grams
Change in the Amount of Salt in the Tank
Rate In =(concentration of salt in inflow)(input rate of brine)
Rate Out =(concentration of salt in outflow)(output rate of brine)
Therefore:
We solve the resulting linear differential equation for A(t)
Taking the integral of both sides
Recall that when t=0, A(t)=10 grams (our initial condition)
Therefore, the number A(t) of grams of salt in the tank at time t is: