Mathematics, 24.10.2019 17:43, darrengresham999
Initially 5 grams of salt are dissolved into 10 liters of water. brine with concentration of salt 5 grams per liter is added at a rate of 3 liters per minute. the tank is well mixed and drained at 3 liters per minute. let xbe the amount of salt, in grams, in the solution after t minutes have elapsed. find a formula for the rate of change in the amount of salt, dx/dt, in terms of the amount of salt in the solution x. dxdt=equation editorequation editorgrams/minutefind a formula for the amount of salt, in grams, after tminutes have elapsed. x(t)=equation editorequation editorgramshow long must the process continue until there are exactly 20 grams of salt in the tank?
Answers: 3
in grams, is governed by the differential equation,
term to the right side, then multiply both sides by 
:
, we have
such that
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Initially 5 grams of salt are dissolved into 10 liters of water. brine with concentration of salt 5...
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