Applied calculus for the managerial, life, and social by Soo T. Tan

By Soo T. Tan

Combining the easiest of conventional insurance with smooth instruments, market-leading Applied Calculus for the Managerial, lifestyles, and Social Sciences: a quick Approach, 8th variation, applies math in your global. It gives you simply the best stability of functions, pedagogy, and know-how that can assist you achieve the direction. educating through software, the textual content is choked with real-life examples that inspire and enlighten you. Its intuitive method introduces summary innovations via examples drawn from universal stories to that you may relate. it's also perception from pros approximately how they combine math into their daily operations. a variety of workouts, together with Diagnostic assessments, make sure you have a pretty good knowing of textual content strategies ahead of advancing to the following topic—or examination. an exhilarating array of supplements—Enhanced WebAssign, resolution movies, own Tutor—equips you with vast studying aid that is helping maximize your research efforts and enhance your grade. removing the apprehension many scholars believe once they commence this direction, Applied Calculus for the Managerial, existence, and Social Sciences: a quick Approach, 8th variation, makes use of an available presentation of techniques and strategies that makes it a superb source for majors and non-majors alike.

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X2 Ϫ 2x Ϫ 15 111. 3x2 Ϫ 6x Ϫ 24 112. 3x2 Ϫ 4x Ϫ 4 113. 12x2 Ϫ 2x Ϫ 30 114. (x ϩ y)2 Ϫ 1 115. 9x2 Ϫ 16y2 116. 8a2 Ϫ 2ab Ϫ 6b2 117. x6 ϩ 125 118. x3 Ϫ 27 78. 3(2a Ϫ b) Ϫ 4(b Ϫ 2a) 79. x Ϫ {2x Ϫ [Ϫx Ϫ (1 Ϫ x)]} 80. 3x2 Ϫ {x2 ϩ 1 Ϫ x[x Ϫ (2x Ϫ 1)]} ϩ 2 1 1 81. ¢ Ϫ 1 ϩ e≤ Ϫ ¢Ϫ Ϫ 1 ϩ eϪ1≤ 3 3 3 1 1 1 82. Ϫ y Ϫ x ϩ 100 ϩ x ϩ y Ϫ 120 4 4 2 4 1 3 83. 318 ϩ 8 Ϫ 21y ϩ 1x Ϫ 1y 2 4 In Exercises 119–126, perform the indicated operations and simplify each expression. 119. (x2 ϩ y2)x Ϫ xy(2y) 120. 2kr(R Ϫ r) Ϫ kr 2 8 2 16 16 84.

1 ϩ e≤ Ϫ ¢Ϫ Ϫ 1 ϩ eϪ1≤ 3 3 3 1 1 1 82. Ϫ y Ϫ x ϩ 100 ϩ x ϩ y Ϫ 120 4 4 2 4 1 3 83. 318 ϩ 8 Ϫ 21y ϩ 1x Ϫ 1y 2 4 In Exercises 119–126, perform the indicated operations and simplify each expression. 119. (x2 ϩ y2)x Ϫ xy(2y) 120. 2kr(R Ϫ r) Ϫ kr 2 8 2 16 16 84. x2 ϩ x ϩ x2 Ϫ x Ϫ 2x ϩ 2 9 3 3 3 121. 2(x Ϫ 1)(2x ϩ 2)3[4(x Ϫ 1) ϩ (2x ϩ 2)] 85. (x ϩ 8)(x Ϫ 2) 86. (5x ϩ 2)(3x Ϫ 4) 122. 5x2(3x2 ϩ 1)4(6x) ϩ (3x2 ϩ 1)5(2x) 87. (a ϩ 5)2 88. (3a Ϫ 4b)2 89. (x ϩ 2y)2 90. (6 Ϫ 3x)2 91. (2x ϩ y)(2x Ϫ y) 92.

A cable is to be laid connecting the relay station with the experimental station. 00 per running foot, find the total cost for laying the cable. y (feet) M(0, 3000) x (feet) O Q(2000, 0) S(10,000, 0) FIGURE 14 Cable connecting relay station S to experimental station M Solution The length of cable required on land is given by the distance from S to Q. This distance is (10,000 Ϫ 2000), or 8000 feet. Next, we see that the length of cable required underwater is given by the distance from M to Q. 55 feet.

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