Dr.Brody has received a 16 year grant to research the Great White Shark population.
He knows the rate of growth dS/dt for this type of shark is proportional to the square
root of t,where S is the population size and t is the time in years,0≤t≤16.
That is: dS/dt=k√t . He estimates an initial population size of 1000 has grown to 1020
after 1 year.
Find the doctor^' s specific population equation and use it to estimate the shark population
at the conclusion of his research.

Question

Dr.Brody has received a 16 year grant to research the Great White Shark population.
He knows the rate of growth  dS/dt  for this type of shark is proportional to the square
root of t,where S is the population size and t is the time in years,0≤t≤16. 
That is:  dS/dt=k√t  .  He estimates an initial  population size of 1000  has grown to 1020 
after 1 year. 
 Find the doctor^' s specific population equation and use it to estimate the shark population 
at the conclusion of his research.