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- 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?arrow_forwardUse a graphing calculator to answer the following questions. a. From a graph of y=xex, what do you think is the value of limxxex?Support this by evaluating the function for several large values of x. b. Repeat part a, this time using the graph of y=x2ex. c. Based on your results from parts a and b, what do you think is the value of limxxnex, where n is a positive integer?Support this by experimenting with other positive integer n.arrow_forwardFind limx3f(x) if f(x)={2x1ifx31ifx=3.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,