3. (4 marks) Once activated, a population of self-replicating nano-bots is known to triple every four hours. Suppose that there are initially 50 nano-bots. (a) (1 mark) What is the size of the population after 12 hours? (b) (2 marks) Use an exponential function C(t) = Coertto represent the population after f hours, and solve for Co and r. (c) (1 marks) Estimate the size of the population after 33 hours. Your answer should be given in the most exact representation (i.e.. not a decimal)