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As the breeding season progresses, penguin progenitors have to devote a larger proportion of their catch to feed their chicks, until they fledge and are able to feed by themselves. The following equation describes the percentage of their catch devoted to the chicks, P(t), based upon the time since hatching, t. ﰇﰁﰈﰃ ﰄ 100ﰈﰅ ﰁ200 ﰆ ﰈﰅﰃ a) Find the function for the rate of change in the feeding behavior of the penguin parents. (2pt) b) Do you think P(t) adequately describes penguin feeding behavior over the course of a penguin’s life? Explain your answer based on the equation given. (
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p(t)=(100t^2)/(200+t^2)
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