Initially 10 grams of salt are dissolved into 35 liters of water. Brine with concentration of salt 4 grams per liter is added at a rate of 5 liters per minute. The tank is well mixed and drained at 5 liters per minute. Let x be the amount of salt, in grams, in the solution after t minutes have elapsed. Find a formula for the incremental change in the amount of salt, Ax, in terms of the amount of salt in the solution x and the incremental change in time At. Enter At as "Deltat". Δη = 20-Deltat grams help (formulas) Find a formula for the amount of salt, in grams, after t minutes have elapsed. t x(t) = = 140-130e 7 grams help (formulas) How long must the process continue until there are exactly 25 grams of salt in the tank? minutes help (numbers)
Initially 10 grams of salt are dissolved into 35 liters of water. Brine with concentration of salt 4 grams per liter is added at a rate of 5 liters per minute. The tank is well mixed and drained at 5 liters per minute. Let x be the amount of salt, in grams, in the solution after t minutes have elapsed. Find a formula for the incremental change in the amount of salt, Ax, in terms of the amount of salt in the solution x and the incremental change in time At. Enter At as "Deltat". Δη = 20-Deltat grams help (formulas) Find a formula for the amount of salt, in grams, after t minutes have elapsed. t x(t) = = 140-130e 7 grams help (formulas) How long must the process continue until there are exactly 25 grams of salt in the tank? minutes help (numbers)
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:Initially 10 grams of salt are dissolved into 35 liters of water.
Brine with concentration of salt 4 grams per liter is added at a
rate of 5 liters per minute. The tank is well mixed and drained at
5 liters per minute.
Let x be the amount of salt, in grams, in the solution after t
minutes have elapsed. Find a formula for the incremental
change in the amount of salt, Ax, in terms of the amount of salt
in the solution x and the incremental change in time At. Enter
At as "Deltat".
Δη
=
20-Deltat grams
help (formulas)
Find a formula for the amount of salt, in grams, after t minutes
have elapsed.
t
x(t) =
=
140-130e
7 grams help (formulas)
How long must the process continue until there are exactly 25
grams of salt in the tank?
minutes
help (numbers)
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