Abacteria population is 6000 at time t = 0 and its rate of growth is 1000 â· 9t bacteria per hour after t hours. what is the population after one hour? (round your answer to the nearest whole number.)

14384

Step-by-step explanation:

We are given that

P(0)=6000

We have to find the population after 1 hour.

Taking integration on both sides

+C

Using formula:

Substitute t=0 and P(0)=6000

Substitute the values then we get

Substitute t=1

Then, we get

Hence, the population after one hour=14384