Chapter 3 | Derivatives
333
Years since 1790 Population
0
33,131
10
60,515
20
96,373
30
123,706
40
202,300
50
312,710
60
515,547
70
813,669
Table 3.8 New York City Population Over Time Source: http://en.wikipedia.org/ wiki/ Largest_cities_in_the_United_States _by_population_by_decade.
363. [T] Using a computer program or a calculator, fit a growth curve to the data of the form p = ab t . 364. [T] Using the exponential best fit for the data, write a table containing the derivatives evaluated at each year. 365. [T] Using the exponential best fit for the data, write a table containing the second derivatives evaluated at each year. 366. [T] Using the tables of first and second derivatives and the best fit, answer the following questions: a. Will the model be accurate in predicting the future population of New York City? Why or why not? b. Estimate the population in 2010. Was the prediction correct from a.?
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