A glucose solution is administered intravenously into the bloodstream at a constant rate r. As the glucose is added, it is converted into other substances and removed from the bloodstream at a rate that is proportional to the concentration at that time. Thus a model for the concentration C = C(t) of the glucose solution in the bloodstream is dC/dt = r - kC where k is a positive constant. Assuming that C0 < r/k, find lim t→[infinity] C(t) and interpret your answer

  we can conclude that the  function is an increasing function.

Step-by-step explanation:

Given that:

By taking integration on both sides ;

where;

A is an integration constant

In order to determine A, we have C(0) = C0

Thus:

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

The equation for C(t) can therefore be re-written as :

Thus; we can conclude that the above function is an increasing function.

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5