2. Suppose that the number P(t) of bacteria in a culture after t days is given by the formula P(t) = 1500 - 2V6. (a) What is the initial population of the bacteria? (b) How many days does it take for the population to triple in size? Give the exact answer. (That means do not write it as a decimal approximation.) Then give the answer in decimal form, using three decimal places. (c) Find constants k and r for which P(t) 2 Ice\