Answer:
a) 
b) 
Step-by-step explanation:
By definition, we have that the change rate of salt in the tank is
, where
is the rate of salt entering and
is the rate of salt going outside.
Then we have,
, and

So we obtain.
, then
, and using the integrating factor
, therefore
, we get
, after integrating both sides
, therefore
, to find
we know that the tank initially contains a salt concentration of 10 g/L, that means the initial conditions
, so 

Finally we can write an expression for the amount of salt in the tank at any time t, it is 
b) The tank will overflow due Rin>Rout, at a rate of
, due we have 500 L to overflow
, so we can evualuate the expression of a)
, is the salt concentration when the tank overflows
Answer:
f(x) = -5x
Step-by-step explanation:
Just add a - sign to reflect it over the x axis
Answer:
(1,-4) is in quadrant IV.
Step-by-step explanation:
Answer 79.8
Step-by-step explanation:
Answer:
Compare the values. 9x10^2 is <u><em>3x10^-4</em></u> times as much as 3x10^-2.
Step-by-step explanation:
If you have 9x10^2 divided by 3x10^-2, it would equal to A.