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Conservation of species a certain species of turtle faces

Question: CONSERVATION OF SPECIES A certain species of turtle faces extinction because dealers collect truckloads of turtle eggs to be sold as aphrodisiacs. After severe conservation measures are implemented, it is hoped that the turtle population will grow according to the rule

N(t) = 2t³ + 3t² - 4t + 1000 (0 ≤ t ≤ 10)

where N(t) denotes the population at the end of year t. Find the rate of growth of the turtle population when t = 2 and t = 8. What will be the population 10 yr after the conservation measures are implemented?

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