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The Larson CALCULUS software has an extended historical past of innovation within the calculus industry. it's been broadly praised through a iteration of scholars and professors for its good and potent pedagogy that addresses the wishes of a huge variety of training and studying kinds and environments. every one identify is only one part in a entire calculus path software that conscientiously integrates and coordinates print, media, and know-how items for profitable educating and studying.

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G͑x͒ ϭ 21. f ͑x͒ ϭ Ίx ϩ Ί1 Ϫ x (c) For what value(s) of x is f ͧxͨ ؍gͧxͨ? 1. 27 Functions and Their Graphs 10 8 (10, 6) 6 4 2 (4, 2) (6, 2) t (0, 0) 2 4 6 8 10 Time (in minutes) 28 Chapter P Preparation for Calculus WRITING ABOUT CONCEPTS (continued) 40. A student who commutes 27 miles to attend college remembers, after driving a few minutes, that a term paper that is due has been forgotten. Driving faster than usual, the student returns home, picks up the paper, and once again starts toward school.

If the diameter of the wire is doubled, the resistance is changed by about what factor? Ϫ3x ϩ y ϭ 15 69. y ϭ x3 Graphs and Models 5 Յ x Յ 100 In Exercises 87 and 88, find an equation of the graph that consists of all points ͧx, yͨ having the given distance from the origin. ) 87. The distance from the origin is twice the distance from ͑0, 3͒. 88. The distance from the origin is K ͑K from ͑2, 0͒. 2 Preparation for Calculus Linear Models and Rates of Change ■ ■ ■ ■ ■ Find the slope of a line passing through two points.

2, 1͒, ͑0,Ϫ3͒ 38. ͑Ϫ2, Ϫ2͒, ͑1, 7͒ 39. ͑2, 8͒, ͑5, 0͒ 40. ͑Ϫ3, 6͒, ͑1, 2͒ 41. ͑6, 3͒, ͑6, 8͒ 42. ͑1, Ϫ2͒, ͑3, Ϫ2͒ 43. ͑ ͒, ͑0, ͒ 1 7 2, 2 3 4 44. ͑ ͒, ͑ 7 3 8, 4 5 4, Ϫ 14 ͒ 45. Find an equation of the vertical line with x-intercept at 3. 46. Show that the line with intercepts ͑a, 0͒ and ͑0, b͒ has the following equation. y x ϩ ϭ 1, a a b 0, b 0 47. x-intercept: ͑2, 0͒ 2 48. x-intercept: ͑Ϫ 3, 0͒ y-intercept: ͑0, 3͒ 49. Point on line: ͑1, 2͒ y-intercept: ͑0, Ϫ2͒ 50. Point on line: ͑Ϫ3, 4͒ x-intercept: ͑a, 0͒ x-intercept: ͑a, 0͒ y-intercept: ͑0, a͒ y-intercept: ͑0, a͒ ͑a ͑a 0͒ 0͒ 55.