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categoryرياضيات
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
(1 point) Initially 15 grams of salt are dissolved into 20 liters of water. Brine with concentration of salt 4 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.
a. Let x be 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.
dx
dt
grams/minute
b. Find a formula for the amount of salt, in grams, after t minutes have elapsed.
x(t) =
grams
c. How long must the process continue until there are exactly 20 grams of salt in the tank?
minutes
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