Let
denote the amount of salt in the tank at time
. We're given that the tank initially holds
lbs of salt.
The rate at which salt flows in and out of the tank is given by the relation
Find the integrating factor:
Distribute
along both sides of the ODE:
Since
, we get
so that the particular solution for
is
The tank becomes full when the volume of solution in the tank at time
is the same as the total volume of the tank:
at which point the amount of salt in the solution would be
A. seperate the top 20% from the rest
that is the only possible asnwer
Answer: the first question is no. It is not a proportional relationship. Can you tell me what the options for the second question is please?
(x-10)^2 + (y+4)^2 = 16
use the formula for equation of circle
(x-h)^2 + (y-k)^2 = r^2