By Soo T. Tan
Renowned for accuracy, Soo Tan's utilized CALCULUS FOR THE MANAGERIAL, lifestyles, AND SOCIAL SCIENCES, 8th variation balances purposes, pedagogy, and expertise to supply scholars the context they should remain stimulated within the path and attracted to the fabric. obtainable for majors and non-majors alike, the textual content makes use of an intuitive process 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 contain math into their day-by-day operations. a number of exercises--including new Diagnostic Tests--ensure scholars have an excellent knowing of innovations sooner than advancing to the subsequent subject. Algebra evaluate notes, keyed to the evaluate bankruptcy Preliminaries, seem the place scholars want them, after they want them. Bringing robust assets to students' fingertips, the text's interesting array of vitamins, together with greater net Assign, equips scholars with large studying help to assist them maximize their learn time.
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Extra resources for Applied Calculus for the Managerial, Life, and Social Sciences (8th Edition)
Which model will allow him to receive both channels at the least cost? ) 40. COST LAYING CABLE In the following diagram, S represents the position of a power relay station located on a straight coastal highway, and M shows the location of a OF Rocket x Spectator Launching pad 4000 ft a. Find an expression giving the distance between the spectator and the rocket. b. What is the distance between the spectator and the rocket when the rocket reaches an altitude of 20,000 ft? 32 1 PRELIMINARIES In Exercises 44–47, determine whether the statement is true or false.
A ͉ ϭ a 76. ͉ b2 ͉ ϭ b2 77. ͉ a Ϫ 4 ͉ ϭ ͉ 4 Ϫ a ͉ 78. ͉ a ϩ 1 ͉ ϭ ͉ a ͉ ϩ 1 79. ͉ a ϩ b ͉ ϭ ͉ a ͉ ϩ ͉ b ͉ 80. ͉ a Ϫ b ͉ ϭ ͉ a ͉ Ϫ ͉ b ͉ 81. 1 gal. Assuming ideal driving conditions, determine the driving range for the car from the foregoing data. 82. 5C 83. Find the maximum profit P (in dollars) given that 6(P Ϫ 2500) Յ 4(P ϩ 2400) 84. CELSIUS AND FAHRENHEIT TEMPERATURES The relationship between Celsius (°C) and Fahrenheit (°F) temperatures is given by the formula Cϭ 5 1F Ϫ 32 2 9 a. If the temperature range for Montreal during the month of January is Ϫ15° Ͻ °C Ͻ Ϫ5°, find the range in degrees Fahrenheit in Montreal for the same period.
49. a. Show that the midpoint of the line segment joining the points P1(x1, y1) and P2(x2, y2) is a x1 ϩ x2 y1 ϩ y2 , b 2 2 b. Use the result of part (a) to find the midpoint of the line segment joining the points (Ϫ3, 2) and (4, Ϫ5). 50. Show that an equation of a circle can be written in the form x2 ϩ y2 ϩ Cx ϩ Dy ϩ E ϭ 0 where C, D, and E are constants. This is called the general form of an equation of a circle. 3 Solutions to Self-Check Exercises 1. a. The points are plotted in the following figure: The distance between A and C is d1A, C 2 ϭ 21Ϫ3 Ϫ 4 2 2 ϩ 3 1 Ϫ 1Ϫ22 4 2 y ϭ 21Ϫ72 2 ϩ 32 ϭ 249 ϩ 9 ϭ 258 5 B(2, 3) c.