By Earl Swokowski, Jeffery Cole
ISBN-10: 0840068573
ISBN-13: 9780840068576
ISBN-10: 0840068905
ISBN-13: 9780840068903
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Extra resources for Precalculus : functions and graphs
Sample text
If we use absolute values, then, since ͉ 7 Ϫ 2 ͉ ϭ ͉ 2 Ϫ 7 ͉, it is unnecessary to be concerned about the order of subtraction. This fact motivates the next definition. Let a and b be the coordinates of two points A and B, respectively, on a coordinate line. The distance between A and B, denoted by d͑A, B͒, is defined by d͑A, B͒ ϭ ͉ b Ϫ a ͉. The number d͑A, B͒ is the length of the line segment AB. Since d͑B, A͒ ϭ ͉ a Ϫ b ͉ and ͉ b Ϫ a ͉ ϭ ͉ a Ϫ b ͉, we see that d͑A, B͒ ϭ d͑B, A͒. Note that the distance between the origin O and the point A is d͑O, A͒ ϭ ͉ a Ϫ 0 ͉ ϭ ͉ a ͉, which agrees with the geometric interpretation of absolute value illustrated in Figure 4.
Express d in miles. 02 ϫ 1023. 01 grams, estimate the mass of a hydrogen atom. EXERCISE 47 58 Fish population The population dynamics of many fish are characterized by extremely high fertility rates among adults and very low survival rates among the young. 00035% of the offspring survive to the age of 3 years. Use scientific form to approximate the number of offspring that live to age 3. a b c 48 Rational approximations to square roots can be found using a formula discovered by the ancient Babylonians.
Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 2, whenever an index of a radical is even (or a rational exponent m͞n with n even is employed), assume that the letters that appear in the radicand denote positive real numbers unless otherwise specified.
Precalculus : functions and graphs by Earl Swokowski, Jeffery Cole
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