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PhoenixFire
 4 years ago
When mixing a certain "alcoholic beverage" a barperson starts with a 10 litre solution of 20% alcohol. Into this solution the barperson mixes a 40% mixture at the rate of 1 litre/minute and pours into glasses at the rate of 2 litre/minute.
(a) Find a formula for the volume V(t) of the mixture at time t minutes.
(b) Find a differential equation that tells the rate of change of the amount of alcohol A(t) at time t minutes.
(c) Solve the differential equation and use the initial condition to find a formula for A(t)
PhoenixFire
 4 years ago
When mixing a certain "alcoholic beverage" a barperson starts with a 10 litre solution of 20% alcohol. Into this solution the barperson mixes a 40% mixture at the rate of 1 litre/minute and pours into glasses at the rate of 2 litre/minute. (a) Find a formula for the volume V(t) of the mixture at time t minutes. (b) Find a differential equation that tells the rate of change of the amount of alcohol A(t) at time t minutes. (c) Solve the differential equation and use the initial condition to find a formula for A(t)

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PhoenixFire
 4 years ago
Best ResponseYou've already chosen the best response.0For (a) I got \[V(t) = 10  t\]

PhoenixFire
 4 years ago
Best ResponseYou've already chosen the best response.0I can't figure out (b).... I tried \[{\delta A \over \delta t}=0.2(10t)+0.4t2t{A \over {10t}}\] But I don't know if that's right. Please help.

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0oh that language filter, lol
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