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2.6Q 14 Farmers wishing to avoid the use of purchased seeds are increasingly concerned about inadvertently growing hybrid plants as a result of pollen drifting

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2.6Q 14

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Farmers wishing to avoid the use of purchased seeds are increasingly concerned about inadvertently growing hybrid plants as a result of pollen drifting from nearby farms. Assuming that these farmers raise their own seeds, the fractional portion of their crop that remains free of hybrid plants t years later can be approximated by P(t) = (0.96) a) Using this model, predict the fractional portion of the crop that will be free of hybrid plants 5 yr after a neighboring farm begins to use purchased seeds. b) Find P'(5) and explain its meaning c) When will half of the crop be hybrid plants? a) After 5 yr, % of the crop will be free of hybrid plants. (Round to the nearest integer as needed.)

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