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5. A culture of bacteria is growing at a rate of N'(t) = 250.t cells per day, where t is the number of days since the culture was started. Suppose that the culture began with 50 cells. (a) (4pts) Find a formula for the total number of cells in the culture after t days. (b) (3pts) How many cells will be in the culture after 10 days. (Round answer to the nearest cell) (c) (4pts) If the culture is to be stopped when the population reaches 500, when will this occur? Round answer to the nearest tenth of a day)