Population growth: the growth rate of a colony of bacteria is b'(t) = 3.455(1.259)^t grams per hour, where t is the number of hours since time t = 0
(a) find integral (0-6) b'(t) dt.
(b) interpret integral (0-6) b'(t) dt in the context of the problem
(c) if 15 grams of bacteria are present at time t = 0, how many grams of bacteria are present after 6 h?