Question

The rate of growth of the population N(t) of a new city t years after its incorporation is estimated to be 

dN/dt = 400 + 900√t 

where 0 ≤ t ≤ 9. If the population was 5,000 at the time of incorporation, find the population 9 years later. 

The population 9 years later will be _______ . 

(Round to the nearest integer as needed.) 

Answer 1

Population t years later is given by

Population was 5000 at the time of incorporation.

That is

The population 9 years later is given by

That is

The population 9 years later will be 24800