] One model for the spread of a rumour is given by
is the number of people who
have heard the rumour,
is the population size, and
is time (in hours).
the total number of students currently registered in MA103, and
(a) Find the partial fraction decomposition of
[Integration is not
(b) Suppose at time
one MA103 student decides to start a rumour that the final exam will be open-book [this
is just a rumour!].
Using this information and the result from part (a), find time
as a function of
Don’t forget the absolute value bars in your result!]