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) What is the size of the population after 12 hours? (b) Use an exponential function C(t) = C0e^rt to represent the population after t hours, and solve for C0 and r. (c) Estimate the size of the population after 33 hours. Your answer should be given in the most exact representation (i.e., not a decimal).

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