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- Find limx2x24x2.Alligator Teeth Researchers have developed a mathematical model that can be used to estimate the number of teeth N(t) at time t days of incubation for Alligator mississippiensis, where N(t)=71.8e8.96e0.0685t. Source: Journal of Theoretical Biology. a. Find N(65), the number of teeth of an alligator that hatched after 65 days. b. Find limtN(t) and use this value as an estimate of the number of teeth of newborn alligator. Hint: See Exercise 71. Does this estimate differ significantly from the estimate of part a?