By James Stewart
This top promoting writer workforce explains options easily and obviously, with out glossing over tough issues. challenge fixing and mathematical modeling are brought early and bolstered all through, in order that while scholars end the direction, they've got a high-quality starting place within the rules of mathematical pondering. This complete, calmly paced booklet offers whole insurance of the functionality idea and integrates massive graphing calculator fabrics that aid scholars improve perception into mathematical rules. The authors' consciousness to aspect and readability, as in James Stewart's market-leading Calculus textual content, is what makes this article the industry chief.
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Extra info for Precalculus: Mathematics for Calculus, 5th Edition, Enhanced WebAssign Edition
2 2 213 2 # 13 ϭ ϭ 3 13 13 13 1 3 2 2 x ϭ 1 1. 1 15 2. 3 2 2 7 Exponential expression 6. 5 7. a2/5 23–26 10. (a) 52 # A 15 B 3 (b) 4Ϫ3 11. (a) Ϫ8 2 3Ϫ2 (b) 9 12. (a) (b) 8 B 27 3 (c) Ϫ322/5 (b) AϪ 278 B 2/3 Ϫ3/2 (c) A 25 64 B 7 10 104 A 32 B Ϫ2 (c) (c) A 12 B 4 # A 52 B Ϫ2 (c) 11/ 16 3 5 (b) 1Ϫ64 Ϫ1 B 64 3 27. a9aϪ5 29. 112x 2y 4 2 A 12 x 5yB 31. 33. (c) 5 1Ϫ3 5 196 24. 175 ϩ 148 4 4 26. 148 Ϫ 13 x 12x 2 x 37. 39. 30. 16y 2 3 32. 3 b4 A 13b2 B 112bϪ8 2 16y 3 2 4 2y 28. 13y 2 2 14y 5 2 4 35. 1rs 2 3 12s 2 Ϫ2 14r 2 4 4 (c) 1Ϫ32 22.
96. 67 ϫ 10Ϫ11 N # m2/kg2 is the gravitational constant, and T is the period of the planet’s orbit (in seconds). 25 days to ﬁnd the distance from the earth to the sun. 97. 486 CN Tower r A2/3S 1/2 p 2/3n Here V is the velocity of the ﬂow in ft/s; A is the crosssectional area of the channel in square feet; S is the downward slope of the channel; p is the wetted perimeter in feet (the distance from the top of one bank, down the side of the channel, across the bottom, and up to the top of the other bank); and n is the roughness coefﬁcient (a measure of the roughness of the channel bottom).
Applications 75. (a) A light-year, the distance that light travels in one year, is about 5,900,000,000,000 mi. 89. 3 light-years away. 2 information in Exercise 75(a) to express this distance in miles. 90. Speed of Light The speed of light is about 186,000 mi/s. Use the information in Exercise 76(a) to ﬁnd how long it takes for a light ray from the sun to reach the earth. 91. 6 ϫ 1014 m2. What is the total volume of the ocean in liters? ) Exponents and Radicals 23 95. Speed of a Skidding Car Police use the formula s ϭ 230fd to estimate the speed s (in mi/h) at which a car is traveling if it skids d feet after the brakes are applied suddenly.