3. (4 marks) Once activated, a population of self-replicating nanobots is known to triple every four hours. Suppose that there are initially 50 nanobots. (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 t 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)