A group of researchers study parts of an ecosystem on a small island in the arctic....

   

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A group of researchers study parts of an ecosystem on a small island in the arctic. The researchers use the following notation: t is time measured in years, with t = 0 on 1 January, 2000. H(t) is the number of snowshoe hares on the island at time t. L(t) is the number of arctic lemmings on the island at time t. P(t) is the number of puffins on the island at time t. S(t) is the number of snowy owls on the island at time t. The researchers estimate that -0.2t L(t) 35te + 200. (We write because this is a model/approximation for the actual number of lemmings at time t.) Use this model to answer the following questions. (a) In which year from 2000 to 2022 was the lemming population largest? How many lemmings were there at that time? (b) In which year from 2000 to 2022 was the lemming population smallest? How many lemmings were there at that time? A group of researchers study parts of an ecosystem on a small island in the arctic. The researchers use the following notation: t is time measured in years, with t = 0 on 1 January, 2000. H(t) is the number of snowshoe hares on the island at time t. L(t) is the number of arctic lemmings on the island at time t. P(t) is the number of puffins on the island at time t. S(t) is the number of snowy owls on the island at time t. The researchers estimate that -0.2t L(t) 35te + 200. (We write because this is a model/approximation for the actual number of lemmings at time t.) Use this model to answer the following questions. (a) In which year from 2000 to 2022 was the lemming population largest? How many lemmings were there at that time? (b) In which year from 2000 to 2022 was the lemming population smallest? How many lemmings were there at that time?

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a To find out when the lemming population was largest we need to find the maximum value of the funct... View the full answer