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 software has been greatly praised through a new release of scholars and professors for its stable and powerful pedagogy that addresses the wishes of a large diversity of educating and studying types and environments. each one identify is only one part in a accomplished calculus path software that conscientiously integrates and coordinates print, media, and expertise items for profitable instructing and studying. One basic goal guided the authors in penning this e-book: to enhance unique, readable fabrics for college students that basically outline and show recommendations and ideas of calculus

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

**Sample text**

The algebraic equations on the papyrus were written in words. D. 250, is often called the Father of Algebra. He was the first to use abbreviated word forms in equations. x 3x ϩ ϭ2 3 4 x 3x ͑12͒ ϩ ͑12͒ ϭ ͑12͒2 3 4 4x ϩ 9x ϭ 24 24 xϭ 13 Write original equation. Multiply each term by the LCD of 12. Divide out and multiply. Combine like terms and divide each side by 13. Check x 3x ϩ 3 4 24͞13 3͑24͞13͒ ϩ 3 4 8 18 ϩ 13 13 26 13 ϭ2 Write original equation. ϭ2 Substitute 24 13 for x. ϭ2 Simplify. ϭ2 Solution checks.

The equation has two solutions: xϭ Ϫ3 ϩ 3Ί5 2 and xϭ Ϫ3 Ϫ 3Ί5 . 2 Check these in the original equation. EXAMPLE 9 The Quadratic Formula: One Solution Use the Quadratic Formula to solve 8x2 Ϫ 24x ϩ 18 ϭ 0. Solution 8x2 Ϫ 24x ϩ 18 ϭ 0 4x2 Ϫ 12x ϩ 9 ϭ 0 Write original equation. Divide out common factor of 2. xϭ Ϫb ± Ίb2 Ϫ 4ac 2a Quadratic Formula xϭ Ϫ ͑Ϫ12͒ ± Ί͑Ϫ12͒2 Ϫ 4͑4͒͑9͒ 2͑4͒ b ϭ Ϫ12, and c ϭ 9. xϭ 12 ± Ί0 3 ϭ 8 2 Substitute a ϭ 4, Simplify. This quadratic equation has only one solution: x ϭ 32.

81. 83. 85. 87. 89. 91. 2x 2 ϩ x Ϫ 1 ϭ 0 2 ϩ 2x Ϫ x 2 ϭ 0 x 2 ϩ 14x ϩ 44 ϭ 0 12x Ϫ 9x 2 ϭ Ϫ3 9x2 ϩ 24x ϩ 16 ϭ 0 28x Ϫ 49x 2 ϭ 4 8t ϭ 5 ϩ 2t 2 ͑ y Ϫ 5͒2 ϭ 2y 78. 80. 82. 84. 86. 88. 90. 92. 6x ϭ 4 Ϫ x 2 4x 2 Ϫ 4x Ϫ 4 ϭ 0 16x 2 Ϫ 40x ϩ 5 ϭ 0 3x ϩ x 2 Ϫ 1 ϭ 0 25h2 ϩ 80h ϩ 61 ϭ 0 ͑57x Ϫ 14͒2 ϭ 8x 141. x ϭ x 2 ϩ x Ϫ 3 142. x 2 ϩ 6x ϭ 3x ϩ 18 143. 144. x Ϫ 10 ϭ x 2 Ϫ 10x 93. 5 ϭ 0 94. 193 ϭ 0 95. 422x 2 Ϫ 506x Ϫ 347 ϭ 0 96. 651 ϭ 0 In Exercises 97–104, solve the equation using any convenient method. 98.

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

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