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A First Course in Infinitesimal Calculus by Daniel A. Murray

By Daniel A. Murray

This ebook was once digitized and reprinted from the collections of the collage of California Libraries. It used to be made out of electronic photographs created in the course of the libraries’ mass digitization efforts. The electronic photos have been wiped clean and ready for printing via computerized procedures. regardless of the cleansing strategy, occasional flaws should be current that have been a part of the unique paintings itself, or brought in the course of digitization. This ebook and thousands of others are available on-line within the HathiTrust electronic Library at www.hathitrust.org.

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95x, and the cost of producing x units is C ϭ 95x ϩ 750. To obtain a profit, the revenue must be greater than the cost. For what values of x will this product return a profit? 35. 50. ) and labor to produce each dozen doughnuts. If the daily profit varies between $60 and $270, between what levels (in dozens) do the daily sales vary? 36. Annual Operating Costs A utility company has a fleet of vans. 35m ϩ 2500, where m is the number of miles driven. The company wants the annual operating cost of each van to be less than $13,000.

5 where w is measured in pounds. Determine the interval on the real number line in which these weights lie. 45. Production The estimated daily production x at a refinery is given by 18. y is less than h units from c. ԽԽ Խ Խ Խ Խ 42. 15 by more than $2. Use absolute values to write this prediction as an inequality. Խ Խ Խ Խ Խ Խ 34. a Ϫ 2x < 1 3 5x > b, b > 0 2 Խx Ϫ 200,000Խ ≤ 25,000 where x is measured in barrels of oil. Determine the high and low production levels. 46. 75, where x is measured in ounces.

Explain your reasoning. x2 C ϭ 6x ϩ Copyright 2009 Cengage Learning, Inc. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. 1 AP/Wide World Photos Functions, Graphs, and Limits A graph showing changes in a company’s earnings and other financial indicators can depict the company’s general financial trends over time. ) Applications Functions and limit concepts have many real-life applications. The applications listed below represent a sample of the applications in this chapter.

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