By Ron Larson, Bruce H. Edwards

The Larson CALCULUS application has an extended background of innovation within the calculus industry. it's been greatly praised through a iteration of scholars and professors for its strong and powerful pedagogy that addresses the wishes of a huge variety of educating and studying types and environments. each one name is only one part in a entire calculus path application that rigorously integrates and coordinates print, media, and know-how items for profitable instructing and studying.

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**Additional resources for Calculus (9th Edition)**

**Sample text**

A) Write a linear equation giving the value y of the equipment in terms of the time x, 0 Յ x Յ 5. (b) Find the value of the equipment when x ϭ 2. (c) Estimate (to two-decimal-place accuracy) the time when the value of the equipment is $200. 83. Apartment Rental A real estate office manages an apartment complex with 50 units. When the rent is $780 per month, all 50 units are occupied. However, when the rent is $825, the average number of occupied units drops to 47. Assume that the relationship between the monthly rent p and the demand x is linear.

Y ϭ Ϫ2x ϩ 1 1 54. y ϭ 3 x Ϫ 1 55. y Ϫ 2 ϭ Ϫ 1͒ 57. 2x Ϫ y Ϫ 3 ϭ 0 Xmin = -5 Xmax = 5 Xscl = 1 Ymin = -5 Ymax = 5 Yscl = 1 Line xϭ1 62. ͑Ϫ1, 0͒ 63. ͑2, 1͒ 4x Ϫ 2y ϭ 3 64. ͑Ϫ3, 2͒ xϩyϭ7 65. 5x Ϫ 3y ϭ 0 66. ͑4, Ϫ5͒ 3x ϩ 4y ϭ 7 ͑34, 78 ͒ Line y ϭ Ϫ3 Rate of Change In Exercises 67– 70, you are given the dollar value of a product in 2008 and the rate at which the value of the product is expected to change during the next 5 years. Write a linear equation that gives the dollar value V of the product in terms of the year t.

23. g͑x͒ ϭ 2 1 Ϫ cos x 25. f ͑x͒ ϭ Խx ϩ 3Խ (e) Estimate the solutions of gͧxͨ ؍0. f 4 g y 2. 2 x −4 4 −2 −4 4 f 2 g −2 4 −4 In Exercises 3–12, evaluate (if possible) the function at the given value(s) of the independent variable. Simplify the results. (a) f ͑0͒ 4. f ͑x͒ ϭ Ίx ϩ 5 (a) f ͑Ϫ4͒ (b) f ͑Ϫ3͒ (b) f ͑11͒ (c) f ͑b͒ (c) f ͑Ϫ8͒ (d) f ͑x Ϫ 1͒ 5. g͑x͒ ϭ 5 Ϫ x2 (d) f ͑x ϩ ⌬x͒ 6. g͑x͒ ϭ ͑x Ϫ 4͒ x2 (c) g͑Ϫ2͒ (c) g͑c͒ (d) g͑t Ϫ 1͒ (d) g͑t ϩ 4͒ 7. f ͑x͒ ϭ cos 2x 8. f ͑x͒ ϭ sin x (a) f ͑͒ (b) f ͑Ϫ ͞4͒ (b) f ͑5͞4͒ (c) f ͑͞3͒ (c) f ͑2͞3͒ 9.