Appling What you’ve learned
In the following table, we have listed various features that a person might consider when buying a new car.
Cost | Size | Warranty (years) | Safety Rating | Antitheft Package | |
|
|
Subcompact |
|
Good | Yes |
|
|
Midrange |
|
Good | No |
|
|
Subcompact |
|
Moderate | Yes |
|
|
Compact |
|
Poor | No |
|
|
Subcompact |
|
Poor | No |
|
|
Compact |
|
Poor | No |
|
|
Compact |
|
Moderate | Yes |
|
|
Midrange |
|
Good | No |
In the universal set
In Exercises 49 - 56, first describe each set in words and then find the set.
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- Oil ProductionThe following table shows the amount of crude oil in billions of barrels produced in the United States in recent years. Source: U.S. Energy Information Administration. Year Crude Oil Produced 2002 2.097 2003 2.060 2004 1.989 2005 1.893 2006 1.857 2007 1.853 2008 1.830 2009 1.954 2010 2.000 2011 2.063 2012 2.377 In this exercise we are interested in the total amount of crude oil produced over the 10-year period from mid-2002 to mid-2012, using the data for the 11 years above. One approach is to sum up the numbers in the second column, but only count half of the first and last numbers. Give the answer to this calculation. Approximate the amount of crude oil produced over the 10-year period 2002-2012 by taking the average of the left endpoint sum and the right endpoint sum. Explain why this is equivalent to the calculation done in part a. This is also equivalent to a formula known as the trapezoidal rule, discussed in the next chapter. If your calculator has a cubic regression feature, find the best-fitting cubic function for these data, letting t=0 correspond to 2000. Then integrate this equation over the interval [2.12] to estimate the amount of crude oil produced over this time period. Compare with your answer to part a.arrow_forwardStock Market The week of September 15, 2008 was one of the most volatile weeks ever for the US stock market. The closing numbers of the Dow Jones Industrial Average each day were: What was the overall change for the week? Was it positive or negative?arrow_forward
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