The population of a city is given by the function.
The population of a city is given by the function n(t)=2.4ekt, where t is the time in years after 2002 and k is a constant. It is known that the population of the city in 2002 is 2.4 millions and it doubles every 10 years.
(a) Find the exact value of k.
(b) Find the rate of change of the population of the city, n'(t), when t=11 . Round your answer to the nearest millions.