Thread: World Population Problem Using Integrals

Here is the factoids from the original problem:

F(0) = 6
lim(x -> infinity) F(x) = 30
rate of population growth =
where t is a continuous variable and t >= 0

I need to figure out at what t will the population reach 10.

I managed to figure out that A = 46.15, but after that I get lost.

The book says I should be solving for t with the equation , but I keep coming up with the equation and I don't know where I am going wrong.

If anyone has some insight for me, that would be super. I've been trying to figure this out for two days now and I need some help.
Thanks.

Originally Posted by Kristen

Here is the factoids from the original problem:

F(0) = 6
lim(x -> infinity) F(x) = 30
rate of population growth =
where t is a continuous variable and t >= 0

I need to figure out at what t will the population reach 10.

I managed to figure out that A = 46.15, but after that I get lost.

The book says I should be solving for t with the equation , but I keep coming up with the equation and I don't know where I am going wrong.

If anyone has some insight for me, that would be super. I've been trying to figure this out for two days now and I need some help.
Thanks.

You are given:



so now integrate this to find and use that together with the given data to solve the problem.



the is there because that is the value of where the second term on the right is

CB