The projected rate of increase in enrollment at a new branch of the ut-system is estimated by e ′ (t) = 12000(t + 9)−3/2 where e(t) is the projected enrollment in t years.

if the inital enrollment is 2000, determine the projected enrollment after many years by calculating the value of lim t→ [infinity] e(t).

The projected enrollment is

Step-by-step explanation:

Consider the provided projected rate.

Integrate the above function.

The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.

Therefore,

Now we need to find

Hence, the projected enrollment is

replace   with   27   and simplify.

10 , 27 , 10 , 70 , 10 , 35 , 10 , 48

step-by-step explanation: