Assume that the total number (in millions) of bacteria present in a culture at a certain time t (in hours) is given by N(t) = 1t(t 12)2 + 20 a) The derivative N '(t)can be written in the form At2 + Bt + C. Find b) Find the rate at which the population of bacteria is changing at 14 hours c) What does the result in part b) mean in terms of the population of bacteria? O The population neither increasing nor decreasing O The population is increasing because N '(14) is positive O The population is decreasing because N (14) is negative O The population is decreasing because N' (14) is negative 0 The population is increasing because N (14) is positive