By Geoffrey C. Berresford, Andrew M. Rockett
This article makes use of fascinating real-world purposes to have interaction readers' curiosity and convey them the sensible part of calculus. The book's many functions are concerning finance, enterprise, and such general-interest subject matters as studying curves in aircraft construction, the age of the useless Sea Scrolls, Apple and Oracle inventory costs, the gap traveled via activities autos, lives stored via seat belts, and the price of a congressional victory. The 6th variation continues the hallmark good points that experience made utilized CALCULUS, short so renowned: modern and fascinating purposes; cautious and powerful use of expertise, together with graphing calculator and spreadsheet assurance; consistent pedagogical reinforcement via part summaries, bankruptcy summaries, annotated examples, and additional perform difficulties; Just-in-Time algebra evaluate fabric; and numerous routines that let readers to perform and hone their problem-solving talents.
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Extra resources for Brief Applied Calculus (6th Edition)
9 53–56. Use a graphing calculator to evaluate each expression. 53. 1 54. a1 1 4 x5 58. 4 3 28x 60. 4 24 12 1x2 1 1000 b 1000 62. 3 9 B x4 6 64. 6 2x 3 6 24x3 18 1 3 13 x 2 2 3 8 B x6 65–78. Simplify. 65. (x 3 # x 2)2 49–52. Use a calculator to evaluate each expression. 56. (1 1 1026)10 31 numbers a and b. 38.
4 24 12 1x2 1 1000 b 1000 62. 3 9 B x4 6 64. 6 2x 3 6 24x3 18 1 3 13 x 2 2 3 8 B x6 65–78. Simplify. 65. (x 3 # x 2)2 49–52. Use a calculator to evaluate each expression. 56. (1 1 1026)10 31 numbers a and b. 38.
Solution a. We number the years with x-values 1–5, so x stands for years since 2005 (we could choose other x-values instead). We enter the data into lists, as shown in the ﬁrst screen below (as explained in Graphing Calculator Basics—Entering Data on page xxiii), and use ZoomStat to graph the data points. L1 1 2 3 4 5 L2 L3 2 63 203 276 375 488 L2(6)= Then (using STAT, CALC, and LinReg), graph the regression along with the data points. 6 The regression line, which clearly ﬁts the points quite well, is y 5 102x 2 26 Rounded Copyright 2011 Cengage Learning.