A new fast-food firm predicts that the number of franchises for its products will grow at the rate dn/dt= 4 sqrrt t+1 where t is the number of years, 0 ≤ t ≤ 15, If there is one franchise (n = 1) at...

A new fast-food firm predicts that the number of franchises for its products will grow at the rate

dn/dt= 4 sqrrt t+1

where
t
is the number of years,
0 ≤ t ≤ 15,
If there is one franchise
(n = 1)
at present
(t = 0),