The raccoon population on a small island is observed to be given by the function P(t) = 120t - 0.4t^4 + 1200. What is the maximum population attained at t = months? What is the maximum population P(t) of raccoons? When does the raccoon population disappear from the island?
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Step 1: To find the maximum population attained at t = months, we need to find the maximum value of the function P(t). Show more…
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The raccoon population on a small island is observed to be given by the function P(t) = 124t - 0.3t^4 + 900 where t is the time (in months) since observations of the island began. Note: you can get a larger view of the graph by clicking on it (a) The number of raccoons on the island when first observed is raccoons. (b) The rate at which the raccoon population is changing when first observed is (c) The maximum population attained months after initial observation. (d) The maximum population is raccoons. [Hint: Use only a whole number of animals.]
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