The populations of two countries are given for January 1, 2000, and for January 1, 2010. a. Write a function of the form P t = P 0 e k t to model each population P t (in millions) t years after January 1, 2000. (See Example 3) b. Use the models from part (a) to approximate the population on January 1, 2020, for each country. Round to the nearest hundred thousand. c. Australia had fewer people than Taiwan in the year 2000, yet from the result of part (b), Australia would have more people in the year 2020? Why? d. Use the models from part (a) to predict the year during which each population would reach 30 million if this trend continues.
The populations of two countries are given for January 1, 2000, and for January 1, 2010. a. Write a function of the form P t = P 0 e k t to model each population P t (in millions) t years after January 1, 2000. (See Example 3) b. Use the models from part (a) to approximate the population on January 1, 2020, for each country. Round to the nearest hundred thousand. c. Australia had fewer people than Taiwan in the year 2000, yet from the result of part (b), Australia would have more people in the year 2020? Why? d. Use the models from part (a) to predict the year during which each population would reach 30 million if this trend continues.
Solution Summary: The author calculates the population of Australia and Taiwan by using the exponential growth function P(t)=P_oekt
A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.
Explain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)
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