# 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 short Approach*, 8th variation, applies math in your global. It supplies simply the precise stability of functions, pedagogy, and know-how that can assist you achieve the path. instructing via program, the textual content is filled with real-life examples that inspire and enlighten you. Its intuitive procedure introduces summary innovations via examples drawn from universal reports to you can relate. it is also perception from execs approximately how they combine math into their daily operations. various workouts, together with Diagnostic assessments, make sure you have a great knowing of textual content techniques sooner than advancing to the subsequent topic—or examination. an exhilarating array of supplements—Enhanced WebAssign, resolution movies, own Tutor—equips you with large studying help that is helping maximize your learn efforts and enhance your grade. getting rid of the apprehension many scholars consider after they commence this path, *Applied Calculus for the Managerial, existence, and Social Sciences: a quick Approach*, 8th version, makes use of an obtainable presentation of innovations and techniques that makes it a good source for majors and non-majors alike.

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**Sample text**

4) In Exercises 21–24, find the distance between the given points. D 3 A 21. (1, 3) and (4, 7) B 1 22. (1, 0) and (4, 4) x –5 –3 –1 1 3 5 7 C –3 9 24. (Ϫ2, 1) and (10, 6) F 25. Find the coordinates of the points that are 10 units away from the origin and have a y-coordinate equal to Ϫ6. –5 E 26. Find the coordinates of the points that are 5 units away from the origin and have an x-coordinate equal to 3. –7 1. A 2. B 3. C 4. D 5. E 6. F 27. Show that the points (3, 4), (Ϫ3, 7), (Ϫ6, 1), and (0, Ϫ2) form the vertices of a square.

1x 1/2 1 1 ϩ 12 ¢ x Ϫ1/2≤ Ϫ 1x1/2 Ϫ 1 2¢ x Ϫ1/2≤ 2 2 123. 4(x Ϫ 1)2(2x ϩ 2)3(2) ϩ (2x ϩ 2)4(2)(x Ϫ 1) 124. (x2 ϩ 1)(4x3 Ϫ 3x2 ϩ 2x) Ϫ (x4 Ϫ x3 ϩ x2)(2x) 125. (x2 ϩ 2)2[5(x2 ϩ 2)2 Ϫ 3](2x) 126. (x2 Ϫ 4)(x2 ϩ 4)(2x ϩ 8) Ϫ (x2 ϩ 8x Ϫ 4)(4x3) 95. 21t ϩ 1t2 2 Ϫ 2t 2 In Exercises 127–132, find the real roots of each equation by factoring. 96. 2x2 ϩ (Ϫx ϩ 1)2 127. x2 ϩ x Ϫ 12 ϭ 0 128. 3x2 Ϫ x Ϫ 4 ϭ 0 129. 4t 2 ϩ 2t Ϫ 2 ϭ 0 130. Ϫ6x2 ϩ x ϩ 12 ϭ 0 In Exercises 97–104, factor out the greatest common factor from each expression.

What is the total cost when x ϭ 2500? when x ϭ 3000? y (feet) M(0, 3000) y (miles) C(800, 1500) 1000 x (feet) D(1300, 1500) O S(10,000, 0) 41. Two ships leave port at the same time. Ship A sails north at a speed of 20 mph while ship B sails east at a speed of 30 mph. a. Find an expression in terms of the time t (in hours) giving the distance between the two ships. b. Using the expression obtained in part (a), find the distance between the two ships 2 hr after leaving port. 2 1 B (400, 300) x (miles) A (0, 0) Q(x, 0) 1000 38.