By Donald R. LaTorre, John W. Kenelly, Iris B. Reed, Laurel R. Carpenter, Cynthia R. Harris
Designed for a one or two-semester utilized Calculus path, this cutting edge textual content incorporates a graphing calculator strategy, incorporating real-life functions and such know-how as graphing utilities and Excel spreadsheets to assist scholars examine mathematical abilities that they're going to use of their lives and careers. The texts total target is to enhance studying of easy calculus ideas by means of related to scholars with new fabric in a fashion that's various from conventional perform. the advance of conceptual figuring out coupled with a dedication to make calculus significant to the coed are guiding forces. the cloth includes many purposes of actual occasions via its data-driven, technology-based modeling procedure. the facility to properly interpret the math of real-life events is taken into account of equivalent value to the certainty of the recommendations of calculus. CALCULUS techniques, 5th variation, provides suggestions in a number of types, together with algebraic, graphical, numeric, and verbal. unique towards scholars majoring in liberal arts, economics, enterprise, administration, and the existence and social sciences, the text’s specialize in know-how in addition to its use of genuine info and events make it a valid option to aid scholars increase an intuitive, sensible realizing of thoughts.
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Extra resources for Calculus Concepts: An Informal Approach to the Mathematics of Change (5th Edition)
Dog Population The number of pet dogs in the United States can be represented as p(t) million where t is the number of years since 2003. b. What is the maximum depth possible in a dive of 20 minutes? (Source: Pet Food Institute) a. 5. b. ” 38. 42. MBA Salaries The average starting salary for persons earning MBAs in year t can be represented as s(t). a. What percentage of mothers returned to the workforce within the first year after giving birth? a. Write a sentence of interpretation for s(2006) ϭ 95,400.
013t ) million people where t is the number of years since the end of 1900. (Source: Based on data from Statistical Abstract of the United States, 2003) a. According to the model, when did the resident population reach 250 million people? b. Write a sentence interpreting the result of part a. Solution a. The output is given as 250 million people. 217. 217 would be early 1989. b. According to the model, the resident population of the United States reached 250 million people in early 1989. Copyright 2010 Cengage Learning.
Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 28 CHAPTER 1 I ngredients of Change: Func tions and Limits Product Rule: The limit of a product is the product of the limits. lim Bf (x) и g(x)R ϭ lim f (x) и lim g(x), where c is a constant. x→c x→c x→c Quick Example Consider two continuous functions f and g with the following properties: lim f (x) ϭ 5 and lim g(x) ϭ Ϫ3 x→2 x→2 Then, by the product rule, lim Bf (x) и g(x)R ϭ lim f (x) и lim g(x) x→2 x→2 x→2 ϭ 5 и (Ϫ3) ϭ Ϫ15 Quotient Rule: The limit of a quotient is the quotient of the limits.
Calculus Concepts: An Informal Approach to the Mathematics of Change (5th Edition) by Donald R. LaTorre, John W. Kenelly, Iris B. Reed, Laurel R. Carpenter, Cynthia R. Harris