A glucose solution is administered intravenously into the bloodstream at a constant rate r. As the gulcose is added, it is converted into other substances and removed from the bloodstream at a rate that is proportional to the concentration at the time. Thus a model for the concentration C=C(t) of the glucose solution in the bloodstream is dC/dt=r-kC
Where r an dk are positive constants.
1. Suppose that the concentration at time t=0 is C0. Determine the concentration at any time t by solving the differential equation.
2. Assuming that C0

  ,thus, the  function is said to be an increasing function.

Step-by-step explanation:

Given that:

Taking integration on both sides ;

here;

A is an integration constant

In order to determine A, we have

Thus:

2. Assuming that C0 < r/k, find lim t→[infinity] C(t) and interpret your answer

The equation for C(t) can  be rewritten as :

Thus;  the  function is said to be an increasing function.

i get you, what you should do is think of the positive things that would come out of it. it will make yours parents proud and raise your grade. you should always try and if you can't focus tell the teacher.