At least one of the answers above is NOT correct. Initially 10 grams of salt are dissolved into 10 liters of water. Brine with concentration of salt 4 grams per liter is added at a rate of 6 liters per minute. The tank is well mixed and drained at 6 liters per minute. a. Leta 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, da/dt, in terms of the amount of salt in the solution . dx dt 3 (x-160) grams/minute 20 b. Find a formula for the amount of salt, in grams, after t minutes have elapsed. 21 x(t) 5 grams 40-30e c. How long must the process continue until there are exactly 20 grams of salt in the tank? 1 minutes
At least one of the answers above is NOT correct. Initially 10 grams of salt are dissolved into 10 liters of water. Brine with concentration of salt 4 grams per liter is added at a rate of 6 liters per minute. The tank is well mixed and drained at 6 liters per minute. a. Leta 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, da/dt, in terms of the amount of salt in the solution . dx dt 3 (x-160) grams/minute 20 b. Find a formula for the amount of salt, in grams, after t minutes have elapsed. 21 x(t) 5 grams 40-30e c. How long must the process continue until there are exactly 20 grams of salt in the tank? 1 minutes
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:At least one of the answers above is NOT correct.
Initially 10 grams of salt are dissolved into 10 liters of water. Brine with concentration of salt 4 grams per liter is added at a rate of 6 liters per
minute. The tank is well mixed and drained at 6 liters per minute.
a. Leta 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, da/dt, in terms of the amount of salt in the solution .
dx
dt
3 (x-160) grams/minute
20
b. Find a formula for the amount of salt, in grams, after t minutes have elapsed.
21
x(t)
5 grams
40-30e
c. How long must the process continue until there are exactly 20 grams of salt in the tank?
1 minutes
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