Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

14th Edition

ISBN: 9780134668574

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker

Publisher: PEARSON

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Textbook Question

Chapter A.6, Problem 72E

In Problems 71–82, discuss the validity of each statement. If the statement is true, explain why. If not, give a counterexample.

72. x 2 = | x | for all real numbers x

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Chapter A.6, Problem 71E

Chapter A.6, Problem 73E

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2. The physicist Frank Benford noticed in the 1930s that, for many sets of numbers in the real world, the leading digit* of the number is more likely to be a small number than a larger one (i.e., 1’s and 2’s are more common than 8’s and 9’s). In fact, many wide-ranging number sets obey “Benford’s Law,” which says that 1’s are about 30.1% of the leading digits, 2’s are 17.6%, 3’s are 12.5%, 4’s are 9.7%, 5’s are 7.9%, 6’s are 6.7%, 7’s are 5.8%, 8’s are 5.1%, and 9’s are 4.6%. Benford’s Law has been used to identify accounting fraud and made-up scientific data. *leading digit is the first significant digit; e.g., “1” in the number 132, “2” in the number .0026.S uppose I suspect my research collaborator of faking a dataset that represents the price that people say is the average amount they pay each month in health care deductibles and copayments, rounded to the nearest dollar.10 50 15 11 412 80 48 13 4250 10 68 41 790 15 139 147 1433 61 145 7 406 99 50 27 7513 40 3 21 1475 203 148 27…

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Chapter A.6 Solutions

Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

Ch. A.6 - Evaluate each of the following: (A)161/2 (B)16...Ch. A.6 - Convert to radical form. (A)u1/5 (B)(6x2y5)2/9...Ch. A.6 - Prob. 3MP Ch. A.6 - Prob. 4MP Ch. A.6 - Write the following expression in the form axp +...Ch. A.6 - Prob. 6MP Ch. A.6 - Prob. 7MP Ch. A.6 - Rationalize each numerator. (A)332 (B)2n4n...Ch. A.6 - Change each expression in Problems 16 to radical...Ch. A.6 - Change each expression in Problems 16 to radical...

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In Problems 71–82, discuss the validity of each statement. If the statement is true, explain why. If not, give a counterexample. 72. x 2 = | x | for all real numbers x

Solution Summary: The author analyzes whether the statement " sqrtx2=left|x|right| for all real numbers x" is true or false.

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Chapter A.6 Solutions