I need help.

1. Suppose that for a certain leaf-cutter ant colony, the birth rate is modelled by: B(t) = 23,000 30 sin (1;) ants per day and the death rate is modelled by: D(t) = 21,000 30 006(37rt] ants per day; (3} Compute 30 f5 (Bit)D(t))dt 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