By Soo T. Tan

FINITE arithmetic FOR THE MANAGERIAL, existence, AND SOCIAL SCIENCES, eleventh version, balances sleek purposes, stable pedagogy, and the most recent expertise to supply scholars the context they should remain prompted within the coursel. appropriate for majors and non-majors alike, this source makes use of an intuitive procedure that teaches thoughts via examples drawn from real-life—particularly from scholars' fields of curiosity. moreover, insightful Portfolios spotlight the careers of genuine humans and speak about how they comprise math into their day-by-day expert actions. a number of routines make sure that scholars have a concrete figuring out of suggestions sooner than advancing to the subsequent subject.

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Extra resources for Finite Mathematics: For the Managerial, Life, and Social Sciences

Example text

1) Show that the distance d between the two points is the same as that obtained in Example 1. (2) Prove that, in general, the distance d in Formula (1) is independent of the way we label the two points. In what follows, we give several applications of the distance formula. EXAMPLE 1 Find the distance between the points 1 24, 32 and 1 2, 62 . Solution Let P1 1 24, 32 and P2 1 2, 62 be points in the plane. 5 \$ APPLIED EXAMPLE 2 The cost of Laying cable In Figure 7, S represents the position of a power relay station located on a straight coastal highway, and M shows the location of a marine biology experimental station on a nearby island.

Center at the origin and passes through 1 2, 32 33. Center 1 2, 232 and passes through 1 5, 22 34. Center 1 2a, a2 and radius 2a 35. tracking a criminal with gpS After obtaining a warrant, the police attached a GPS tracking device to the car of a murder suspect. Suppose the car was located at the origin of a Cartesian coordinate system when the device was attached. Shortly afterwards, the suspect’s car was tracked going 5 mi due east, 4 mi due north, and 1 mi due west before coming to a permanent stop.

Find an equation of L. Then use this equation to find and reconcile the result obtained in part (b). Source: Nielsen survey. 87. Is there a difference between the statements “The slope of a straight line is zero” and “The slope of a straight line does not exist (is not defined)”? Explain your answer. 88. Consider the slope-intercept form of a straight line y 5 mx 1 b. Describe the family of straight lines obtained by keeping a. the value of m fixed and allowing the value of b to vary. b. the value of b fixed and allowing the value of m to vary.