La concentración de cierto calmante suministrado mediante suero, varía en su efectividad en el tiempo según la siguiente función, C(t)=−t2+6t donde C es la concentración del calmante en el suero medida en milígramos por litro para que haga efecto durante t horas. ¿En que instante la concentración es de 8 milígramos por litro?

The concentration will be 8 milligrams per liter at 2 hours and 4 hours.

Step-by-step explanation:

GIven: The concentration of a certain painkiller supplied by serum varies in its effectiveness over time according to the following function, where C is the concentration of the painkiller in the serum measured in milligrams per liter so that it takes effect during t hours.

Put C(t)=8, then we get

At t=2,

At t=4,

Hence, the concentration will be 8 milligrams per liter at 2 hours and  4 hours.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,