By Soo T. Tan

Renowned for accuracy, Soo Tan's utilized CALCULUS FOR THE MANAGERIAL, lifestyles, AND SOCIAL SCIENCES, 8th version balances functions, pedagogy, and know-how to supply scholars the context they should remain influenced within the direction and drawn to the cloth. obtainable for majors and non-majors alike, the textual content makes use of an intuitive technique that introduces summary recommendations via examples drawn from universal, real-life stories to which scholars can relate. It additionally attracts functions from readers' fields of curiosity. furthermore, insightful Portfolios spotlight the careers of actual humans and talk about how they comprise math into their day-by-day operations. quite a few exercises--including new Diagnostic Tests--ensure scholars have a pretty good knowing of ideas sooner than advancing to the following subject. Algebra evaluate notes, keyed to the evaluate bankruptcy Preliminaries, seem the place scholars desire them, after they want them. Bringing strong assets to students' fingertips, the text's intriguing array of vitamins, together with more advantageous net Assign, equips scholars with large studying help to assist them maximize their research time.

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**Additional resources for Applied Calculus for the Managerial, Life, and Social Sciences (8th Edition)**

**Example text**

613x2 2 2x ϩ x2 ϩ 1 x3 ϩ 2 1 1 Ϫ x xϩh b. ᎏ Solution a. 613x2 2 2x1x3 ϩ 2 2 ϩ 613x2 2 1x2 ϩ 1 2 2x ϩ ϭ x2 ϩ 1 x3 ϩ 2 1x2 ϩ 1 2 1x3 ϩ 2 2 2x4 ϩ 4x ϩ 18x4 ϩ 18x2 ϭ 1x2 ϩ 1 2 1x3 ϩ 2 2 20x4 ϩ 18x2 ϩ 4x ϭ 2 1x ϩ 1 2 1x3 ϩ 2 2 2x110x3 ϩ 9x ϩ 2 2 ϭ 1x2 ϩ 1 2 1x3 ϩ 2 2 LCD ϭ (x 2 ϩ 1)(x 3 ϩ 2) Carry out the indicated multiplication. Combine like terms. Factor. 18 1 PRELIMINARIES b. x Ϫ 1x ϩ h 2 1 1 Ϫ ϭ x xϩh x1x ϩ h 2 xϪxϪh ϭ x1x ϩ h 2 Ϫh ϭ x1x ϩ h 2 LCD ϭ x (x ϩ h) Remove parentheses. Combine like terms.

5x 13x 67. 1 3 2x 65. 68. 2y 98. 4x2 y 2z Ϫ 2x5y 2 ϩ 6x3y 2z2 99. 7a 4 Ϫ 42a2b2 ϩ 49a3b 13y 100. 3x 2/3 Ϫ 2x1/3 2x A y 101. eϪx Ϫ xeϪx 102. 2ye xy ϩ 2xy3e xy 2 In Exercises 69–74, rationalize the numerator of the expression. 69. 3 2 1x 3 70. 2x 24 3 2 xz 2 73. y 2x 72. B 3y 3 71. 2y Bx 3 2x2y 74. 2x 103. 2xϪ5/2 Ϫ 104. 2 3 Ϫ3/2 x 2 1 2 3/2 ¢ u Ϫ 2u1/2≤ 2 3 In Exercises 105–118, factor each expression completely. In Exercises 75–96, perform the indicated operations and simplify each expression. 105.

49 in. 51 in. Letting x denote the diameter of a rod, write an inequality using absolute value signs to express a criterion involving x that must be satisfied in order for a rod to be acceptable. In Exercises 69–74, suppose a and b are real numbers other than zero and that a Ͼ b. State whether the inequality is true or false. 88. QUALITY CONTROL The diameter x (in inches) of a batch of ball bearings manufactured by PAR Manufacturing satisfies the inequality 61. 63. 13 | Ϫ2 | ϩ 3 | Ϫ13 | 64. | Ϫ1 | ϩ 12 | Ϫ2 | 65.