1. A culture of bacteria is prepared with an initial population of 100 cells, and the number of cells is observed to double in 12 hours. Assuming the growth is exponential nd the unique solution that gives the population as a function of time. How many cells will there be after 36 hours (hint: think before you calculate)? When will there be 500 cells? 2. Assume that a population of sh in a lake grows logistically with a growth rate of r=.7/yr and a carrying capacity of 10,000 fish. If there are currently 3,000 fish present, how many will there be in 1 year? When will there be 9,000