A group of biologists observes a species of birds on a small island. In particular, they...

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A group of biologists observes a species of birds on a small island. In particular, they keep track of the number of bird nests over time. At t months after the observation program begins, the number of nests, f(t), is given by: 100 t f(t) = 80- (t≥ 1) a) How many nests are on the island at 10 months after the observation program begins? Include units in your final answer. b) What is the average rate of change of the number of nests between 2 months and 4 months? Include units in your final answer. c) What is the (instantaneous) rate of change of the number of nests at 5 months? Include units in your final answer. A group of biologists observes a species of birds on a small island. In particular, they keep track of the number of bird nests over time. At t months after the observation program begins, the number of nests, f(t), is given by: 100 t f(t) = 80- (t≥ 1) a) How many nests are on the island at 10 months after the observation program begins? Include units in your final answer. b) What is the average rate of change of the number of nests between 2 months and 4 months? Include units in your final answer. c) What is the (instantaneous) rate of change of the number of nests at 5 months? Include units in your final answer.