By James Stewart, Lothar Redlin, Saleem Watson

James Stewart, writer of the global, best-selling Calculus texts, in addition to of his former Ph.D. scholars, Lothar Redlin and Saleem Watson, collaborated in scripting this textual content to handle an issue they regularly observed of their calculus classes: many scholars weren't ready to imagine mathematically yet tried as a substitute to memorize proof and mimic examples. university Algebra was once written in particular to aid scholars learn how to imagine mathematically and to boost precise problem-solving abilities. This finished, calmly paced publication highlights the authors' dedication to encouraging conceptual knowing. To enforce this target, Stewart, Redlin, and Watson comprise know-how, the guideline of 4, real-world purposes, and prolonged initiatives and writing workouts to reinforce a primary middle of primary abilities.

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X 42. Cost of a Phone Call A phone company charges a 25¢ connection fee for each call and 8¢ per minute. (a) How much does a 10-minute call cost? (b) Find a formula that models the cost C of a phone call that lasts t minutes. (c) If a particular call cost 73¢, how many minutes did the call last? (d) Find a formula that models the cost C (in cents) of a phone call that lasts t minutes if the connection fee is F cents and the rate is r cents per minute. 2 A Real Numbers Let’s review the types of numbers that make up the real number system.

A) Calculate the body-mass index for each person listed in the table, then determine whether he or she is of normal weight, underweight, overweight, or obese. 76. Prove the given Laws of Exponents for the case in which m and n are positive integers and m Ͼ n. (a) Law 2 (b) Law 5 Person Weight Height Brian Linda Larry Helen 295 lb 105 lb 220 lb 110 lb 5 ft 10 in. 5 ft 6 in. 6 ft 4 in. 5 ft 2 in. (c) Law 6 Applications 77. 3 light-years away. Use the information in Exercise 67(a) to express this distance in miles.

The empty set, denoted by л, is the set that contains no element. 18 CHAPTER P Prerequisites Example 4 Union and Intersection of Sets If S ϭ {1, 2, 3, 4, 5}, T ϭ {4, 5, 6, 7}, and V ϭ {6, 7, 8}, find the sets S ʜ T, S ʝ T, and S ʝ V. Solution T 64748 1, 2, 3, 4, 5, 6, 7, 8 14243 123 S V S ʜ T ϭ {1, 2, 3, 4, 5, 6, 7} All elements in S or T S ʝ T ϭ {4, 5} Elements common to both S and T SʝVϭл S and V have no element in common ■ Certain sets of real numbers, called intervals, occur frequently in calculus and correspond geometrically to line segments.