Film attendance an excellent film with a very small advertising budget must depend largely on wordof-mouth advertising.
In this case, the rate at which weekly attendance might grow can be given by
dA/dt = [-100/(t+10)2]+[2000/(t+10)3]
where t is the time in weeks since release and A is attendance in millions.
(a) Find the function that describes weekly attendance at this film.
(b) Find the attendance at this film in the tenth week.