Ron Larson's Calculus I with precalculus : a one-year course PDF

By Ron Larson

ISBN-10: 0840068336

ISBN-13: 9780840068330

CALCULUS I WITH PRECALCULUS, brings you up to the mark algebraically inside precalculus and transition into calculus. The Larson Calculus application has been generally praised by means of a iteration of scholars and professors for its strong and potent pedagogy that addresses the wishes of a vast diversity of training and studying kinds and environments. every one name is only one part in a accomplished calculus path software that conscientiously integrates and coordinates print, media, and expertise items for winning instructing and studying. One basic aim guided the authors in scripting this ebook: to advance designated, readable fabrics for college students that sincerely outline and reveal strategies and ideas of calculus

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Additional resources for Calculus I with precalculus : a one-year course

Sample text

Simplify. The solution set is all real numbers that are less than or equal to Ϫ10 or greater than or equal to 4. The interval notation for this solution set is ͑Ϫ ϱ, Ϫ10͔ ʜ ͓4, ϱ͒. The symbol ʜ is called a union symbol and is used to denote the combining of two sets. 7. 2 units 7 units 2 units 7 units x x 2 3 4 5 6 7 −12 −10 −8 −6 −4 − 2 8 Խx Ϫ 5Խ < 2: Solutions lie inside ͑3, 7͒. 2 4 6 Խx ϩ 3Խ Ն 7: Solutions lie outside ͑Ϫ10, 4͒. 5. ■ Copyright 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part.

X ϩ 8 ϭ 2͑x Ϫ 2͒ Ϫ x 26. 8͑x ϩ 2͒ Ϫ 3͑2x ϩ 1͒ ϭ 2͑x ϩ 5͒ 100 Ϫ 4x 5x ϩ 6 27. ϭ ϩ6 3 4 67. 69. 71. 73. 75. 3 2 ͑z 28. 1 4 ͑z 17 ϩ y 32 ϩ y ϩ ϭ 100 y y ͑x ϩ 2͒ 2 ϭ 14 ͑2x Ϫ 1͒2 ϭ 18 ͑x Ϫ 7͒2 ϭ ͑x ϩ 3͒ 2 x 2 ϩ 4x Ϫ 32 ϭ 0 x 2 ϩ 12x ϩ 25 ϭ 0 8 ϩ 4x Ϫ x 2 ϭ 0 2x 2 ϩ 5x Ϫ 8 ϭ 0 5x2 Ϫ 15x ϩ 7 ϭ 0 56. 58. 60. 62. 64. 66. x 2 ϭ 32 9x 2 ϭ 36 ͑x ϩ 13͒2 ϭ 25 55. 57. 59. 61. 63. 65. 68. 70. 72. 74. 76. ͑x Ϫ 5͒2 ϭ 30 ͑2x ϩ 3͒2 Ϫ 27 ϭ 0 ͑x ϩ 5͒2 ϭ ͑x ϩ 4͒ 2 x2 ϩ 6x ϩ 2 ϭ 0 x 2 ϩ 8x ϩ 14 ϭ 0 9x 2 Ϫ 12x ϭ 14 4x 2 Ϫ 4x Ϫ 99 ϭ 0 3x2 ϩ 9x ϩ 5 ϭ 0 Copyright 2011 Cengage Learning.

Xϭ 12 ± Ί0 3 ϭ 8 2 Substitute a ϭ 4, Simplify. This quadratic equation has only one solution: x ϭ 32. Check this in the original equation as shown below. Check 8x2 Ϫ 24x ϩ 18 ϭ 0 3 2 3 ? 8 Ϫ 24 ϩ 18 ϭ 0 2 2 18 Ϫ 36 ϩ 18 ϭ 0 ΂΃ ΂΃ Write original equation. 3 Substitute 2 for x. Solution checks. ✓ ■ Copyright 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).

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Calculus I with precalculus : a one-year course by Ron Larson


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