Suppose that we ask n randomly selected people whether they share your birthday. (a) Give an expression in terms of n for the pr
1 answer:
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Answer:
47.25 pounds
Step-by-step explanation:
<u>First, we determine the Rate In</u>
Rate In=(concentration of salt in inflow)(input rate of brine)
Change In Volume of the tank,
Therefore, after t minutes, the volume of fluid in the tank will be: 100+2t
<u>Rate Out</u>
Rate Out=(concentration of salt in outflow)(output rate of brine)
Therefore:
This is a linear differential equation in standard form, therefore the integrating factor:
Multiplying the DE by the integrating factor, we have:
Initially, 20 pounds of salt was dissolved in the tank, therefore: A(0)=20
Therefore, the amount of salt in the tank at any time t is:
After 15 minutes, the amount of salt in the tank is: