Step-by-step explanation:
hence the value of y=-9/4and k=-16.
Answer:
A=(21/5,-22/5) B=(5,-6)
Step-by-step explanation:
Answer:
7 is the answer
Step-by-step explanation:
2x7=14
Answer:
1 2 3 4
Step-by-step explanation:
At any time
(min), the volume of solution in the tank is

If
is the amount of salt in the tank at any time
, then the solution has a concentration of
.
The net rate of change of the amount of salt in the solution,
, is the difference between the amount flowing in and the amount getting pumped out:

Dropping the units and simplifying, we get the linear ODE


Multiplying both sides by
allows us to identify the left side as a derivative of a product:



Integrate and divide both sides by
to get

The tanks starts off with 30 lb of salt, so
and we can solve for
to get a particular solution of
