1. Suppose that for a certain leafcutter ant colony, the birth rate is modelled by: mt B(t) : 23, 000 805111 (3) ants per day and the death rate is modelled by: DU?) : 21, 000 30 cos(37rt) ants per day. (3) Compute 3o 5 (BO?) DOD) it and briefly explain what this quantity represents in terms of the colony. (b) Compute the average number of ants born per day, in the time from t : 10 days to t : 40 days. (c) Suppose that at time t : 0, there are 739,000 ants in the colony. According to the model, how many ants are in the colony at time t = 31