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By Soo T. Tan

Within the market-leading CALCULUS FOR THE MANAGERIAL, lifestyles, AND SOCIAL SCIENCES, Soo T. Tan offers a correct, available presentation of calculus mixed with simply the correct stability of functions, pedagogy, and expertise to assist scholars achieve the direction. the recent 7th version contains hugely attention-grabbing present functions and workouts to aid stimulate scholar motivation. a thrilling new array of vitamins, together with iLrn instructional and the Interactive Video Skillbuilder CD-ROM, offers scholars with broad studying aid so teachers can have extra time to target educating the middle recommendations.

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Extra resources for Calculus for the Managerial, Life, and Social Sciences, Seventh Edition

Sample text

This determines the scale for the number line. Each positive real number lies at an appropriate distance to the right of the origin, and each negative real number lies at an appropriate distance to the left of the origin (Figure 1). Origin –4 FIGURE 1 The real number line –3 –2 –ͱ 2 –1 0 1 1 2 2 ͱ3 3 4 x p A one-to-one correspondence is set up between the set of all real numbers and the set of points on the number line; that is, exactly one point on the line is associated with each real number.

Y Ϫ ᎏᎏ x ϩ 100 ϩ ᎏᎏ x ϩ ᎏᎏ y Ϫ 120 4 4 2 4 1 3 ෆ ϩ 8 Ϫ 2œyෆ ϩ ᎏᎏ œxෆ Ϫ ᎏᎏ œyෆ 9. 3œ8 2 4 3. (5y2 Ϫ 2y ϩ 1) Ϫ (y2 Ϫ 3y Ϫ 7) 8 2 16 16 10. ᎏᎏ x2 ϩ ᎏᎏ x ϩ ᎏᎏ x2 Ϫ ᎏᎏ x Ϫ 2x ϩ 2 9 3 3 3 4. 3(2a Ϫ b) Ϫ 4(b Ϫ 2a) 11. (x ϩ 8)(x Ϫ 2) 12. (5x ϩ 2)(3x Ϫ 4) 5. x Ϫ {2x Ϫ [Ϫx Ϫ (1 Ϫ x)]} 13. (a ϩ 5) 14. (3a Ϫ 4b)2 6. 3x2 Ϫ {x2 ϩ 1 Ϫ x[x Ϫ (2x Ϫ 1)]} ϩ 2 15. (x ϩ 2y)2 16. (6 Ϫ 3x)2 1 1 7. Ϫᎏᎏ Ϫ 1 ϩ eϪ1@ 3 3 17. (2x ϩ y)(2x Ϫ y) 2 19. (x Ϫ 1)(2x) Ϫ x (2x) 2 2 18. (3x ϩ 2)(2 Ϫ 3x) 22 1 PRELIMINARIES 1 1 20.

For example, x2 ϩ 4x ϩ 4 x3 ϩ 5 x4 ϩ 3x2 ϩ 3 x2y ϩ xy ϩ y are all polynomials. Constant terms and terms containing the same variable factor are called like, or similar, terms. Like terms may be combined by adding or subtracting their numerical coefficients. For example, 3x ϩ 7x ϭ 10x and 1 7 ᎏᎏxy ϩ 3xy ϭ ᎏᎏxy 2 2 The distributive property of the real number system, ab ϩ ac ϭ a(b ϩ c) is used to justify this procedure. To add or subtract two or more algebraic expressions, first remove the parentheses and then combine like terms.

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