EBK PRECALCULUS: MATHEMATICS FOR CALCUL7th EditionWatson Publisher: CENGAGE LISBN: 8220102958371
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
Solutions for EBK PRECALCULUS: MATHEMATICS FOR CALCUL
Problem 1E:
Give an example of each of the following: (a) A natural number (b) An integer that is not a natural...Problem 2E:
Complete each statement and name the property of real numbers you have used. (a) ab = __________;...Problem 3E:
Express the set of real numbers between but not including 2 and 7 as follows. (a) In set-builder...Problem 4E:
The symbol | x | stands for the __________of the number x. If x is not 0, then the sign of | x | is...Problem 5E:
The distance between a and b on the real line is d(a, b) = __________. So the distance between 5 and...Problem 6E:
Yes or No? If No, give a reason. Assume that a and b are nonzero real numbers. 6. (a) Is the sum of...Problem 7E:
Yes or No? If No, give a reason. Assume that a and b are nonzero real numbers. 7. (a) Is a b equal...Problem 8E:
Yes or No? If No, give a reason. Assume that a and b are nonzero real numbers. 8. (a) Is the...Problem 9E:
Real Numbers List the elements of the given set that are (a) natural numbers (b) integers (c)...Problem 10E:
Real Numbers List the elements of the given set that are (a) natural numbers (b) integers (c)...Problem 11E:
Properties of Real Numbers State the property of real numbers being used. 11. 3 + 7 = 7 + 3Problem 13E:
Properties of Real Numbers State the property of real numbers being used. 13. (x + 2y) + 3z = x +...Problem 14E:
Properties of Real Numbers State the property of real numbers being used. 14. 2(A + B) = 2A + 2BProblem 15E:
Properties of Real Numbers State the property of real numbers being used. 15. (5x + 1)3 = 15x + 3Problem 16E:
Properties of Real Numbers State the property of real numbers being used. 16. (x + a)(x + b) = (x +...Problem 17E:
Properties of Real Numbers State the property of real numbers being used. 17. 2x(3 + y) = (3 + y)2xProblem 18E:
Properties of Real Numbers State the property of real numbers being used. 18. 7(a + b + c) = 7(a +...Problem 19E:
Properties of Real Numbers Rewrite the expression using the given property of real numbers. 19....Problem 21E:
Properties of Real Numbers Rewrite the expression using the given property of real numbers. 21....Problem 22E:
Properties of Real Numbers Rewrite the expression using the given property of real numbers. 22....Problem 25E:
Properties of Real Numbers Use properties of real numbers to write the expression without...Problem 26E:
Properties of Real Numbers Use properties of real numbers to write the expression without...Problem 27E:
Properties of Real Numbers Use properties of real numbers to write the expression without...Problem 32E:
Arithmetic Operations Perform the indicated operations. 32. (a) 223322 (b) 25+12110+315Problem 33E:
Inequalities Place the correct symbol (, , or =) in the space. 33. (a) 372 (b) 372 (c) 3.572Problem 36E:
Inequalities State whether each inequality is true or false. 36. (a) 31.7325 (b) 1.73253Problem 39E:
(a) x is positive. (b) t is less than 4. (c) a is greater than or equal to . (d) x is less than 13...Problem 44E:
Sets Find the indicated set if A=1,2,3,4,5,6,7B=2,4,6,8C=7,8,9,10 44. (a) A B C (b) A B CProblem 47E:
Intervals Express the interval in terms of inequalities, and then graph the interval. 47. (3, 0)Problem 48E:
Intervals Express the interval in terms of inequalities, and then graph the interval. 48. (2, 8]Problem 49E:
Intervals Express the interval in terms of inequalities, and then graph the interval. 49. [2, 8)Problem 51E:
Intervals Express the interval in terms of inequalities, and then graph the interval. 51. [2, )Problem 52E:
Intervals Express the interval in terms of inequalities, and then graph the interval. 52. (, 1)Problem 53E:
Intervals Express the inequality in interval notation, and then graph the corresponding interval....Problem 55E:
Intervals Express the inequality in interval notation, and then graph the corresponding interval....Problem 61E:
Intervals Graph the set. 61. (2, 0) (1, 1)Problem 62E:
Intervals Graph the set. 62. (2, 0) (1, 1)Problem 63E:
Intervals Graph the set. 63. [4, 6] [0, 8)Problem 65E:
Intervals Graph the set. 65. (, 4) (4, )Problem 66E:
Intervals Graph the set. 66. (, 6] (2, 10)Problem 75E:
Distance Find the distance between the given numbers. 75. (a) 2 and 17 (b) 3 and 21 (c) 118and310Problem 76E:
(a) 715and121 (b) 38 and 57 (c) 2.6 and 1.8Problem 77E:
Repeating Decimal Express each repeating decimal as a fraction. (See the margin note on page 3.) 77....Problem 81E:
Simplifying Absolute Value Express the quantity without using absolute value. 81. |a b|, where a bProblem 83E:
Signs of Numbers Let a, b, and c be real numbers such that a 0, b 0, and c 0. Find the sign of...Problem 85E:
Area of a Garden Marys backyard vegetable garden measures 20 ft by 30 ft, so its area is 20 30 =...Problem 86E:
Temperature Variation The bar graph shows the daily high temperatures for Omak, Washington, and...Problem 87E:
Mailing a Package The post office will accept only packages for which the length plus the girth...Problem 88E:
DISCUSS: Sums and Products of Rational and Irrational Numbers Explain why the sum, the difference,...Problem 89E:
DISCOVER PROVE: Combining Rational and Irrational Numbers Is 12+2 rational or irrational? Is...Problem 90E:
DISCOVER: Limiting Behavior of Reciprocals Complete the tables. What happens to the size of the...Problem 91E:
DISCOVER: Locating Irrational Numbers on the Real Line Using the figures below, explain how to...Problem 92E:
PROVE: Maximum and Minimum Formulas Let max(a, b) denote the maximum and min(a, b) denote the...Problem 93E:
WRITE: Real Numbers in the Real World Write a paragraph describing different real-world situations...Browse All Chapters of This Textbook
Chapter 1 - FundamentalsChapter 1.1 - Real NumbersChapter 1.2 - Exponents And RadicalsChapter 1.3 - Algebraic ExpressionsChapter 1.4 - Rational ExpressionsChapter 1.5 - EquationsChapter 1.6 - Complex NumbersChapter 1.7 - Modeling With EquationsChapter 1.8 - InequalitiesChapter 1.9 - The Coordinate Plane; Graphs Of Equations; Circles
Chapter 1.10 - LinesChapter 1.11 - Solving Equations And Inequalities GraphicallyChapter 1.12 - Modeling VariationChapter 2 - FunctionsChapter 2.1 - FunctionsChapter 2.2 - Graphs Of FunctionsChapter 2.3 - Getting Information From The Graph Of A FunctionChapter 2.4 - Average Rate Of Change Of A FunctionChapter 2.5 - Linear Functions And ModelsChapter 2.6 - Transformations Of FunctionsChapter 2.7 - Combining FunctionsChapter 2.8 - One-to-one Functions And Their InversesChapter 3 - Polynomial And Rational FunctionsChapter 3.1 - Quadratic Functions And ModelsChapter 3.2 - Polynomial Functions And Their GraphsChapter 3.3 - Dividing PolynomialsChapter 3.4 - Real Zeros Of PolynomialsChapter 3.5 - Complex Zeros And The Fundamental Theorem Of AlgebraChapter 3.6 - Rational FunctionsChapter 3.7 - Polynomial And Rational InequalitiesChapter 4 - Exponential And Logarithmic FunctionsChapter 4.1 - Exponential FunctionsChapter 4.2 - The Natural Exponential FunctionChapter 4.3 - Logarithmic FunctionsChapter 4.4 - Laws Of LogarithmsChapter 4.5 - Exponential And Logarithmic EquationsChapter 4.6 - Modeling With Exponential FunctionsChapter 4.7 - Logarithmic ScalesChapter 5 - Trigonometric Functions: Unit Circle ApproachChapter 5.1 - The Unit CircleChapter 5.2 - Trigonometric Functions Of Real NumbersChapter 5.3 - Trigonometric GraphsChapter 5.4 - More Trigonometric GraphsChapter 5.5 - Inverse Trigonometric Functions And Their GraphsChapter 5.6 - Modeling Harmonic MotionChapter 6 - Trigonometric Functions: Right Triangle ApproachChapter 6.1 - Angle MeasureChapter 6.2 - Trigonometry Of Right TrianglesChapter 6.3 - Trigonometric Functions Of AnglesChapter 6.4 - Inverse Trigonometric Functions And Right TrianglesChapter 6.5 - The Law Of SinesChapter 6.6 - The Law Of CosinesChapter 7 - Analytic TrigonometryChapter 7.1 - Trigonometric IdentitiesChapter 7.2 - Addition And Subtraction FormulasChapter 7.3 - Double-angle, Half-angle, And Product-sum FormulasChapter 7.4 - Basic Trigonometric EquationsChapter 7.5 - More Trigonometric EquationsChapter 8 - Polar Coordinates And Parametric EquationsChapter 8.1 - Polar CoordinatesChapter 8.2 - Graphs Of Polar EquationsChapter 8.3 - Polar Form Of Complex Numbers; De Moivre's TheoremChapter 8.4 - Plane Curves And Parametric EquationsChapter 9 - Vectors In Two And Three DimensionsChapter 9.1 - Vectors In Two DimensionsChapter 9.2 - The Dot ProductChapter 9.3 - Three-dimensional Coordinate GeometryChapter 9.4 - Vectors In Three DimensionsChapter 9.5 - The Cross ProductChapter 9.6 - Equations Of Lines And PlanesChapter 10 - Systems Of Equations And InequalitiesChapter 10.1 - Systems Of Linear Equations In Two VariablesChapter 10.2 - Systems Of Linear Equations In Several VariablesChapter 10.3 - Matrices And Systems Of Linear EquationsChapter 10.4 - The Algebra Of MatricesChapter 10.5 - Inverses Of Matrices And Matrix EquationsChapter 10.6 - Determinants And Cramer's RuleChapter 10.7 - Partial FractionsChapter 10.8 - Systems Of Nonlinear EquationsChapter 10.9 - Systems Of InequalitiesChapter 11 - Conic SectionsChapter 11.1 - ParabolasChapter 11.2 - EllipsesChapter 11.3 - HyperbolasChapter 11.4 - Shifted ConicsChapter 11.5 - Rotation Of AxesChapter 11.6 - Polar Equations Of ConicsChapter 12 - Sequences And SeriesChapter 12.1 - Sequences And Summation NotationChapter 12.2 - Arithmetic SequencesChapter 12.3 - Geometric SequencesChapter 12.4 - Mathematics Of FinanceChapter 12.5 - Mathematical InductionChapter 12.6 - The Binomial TheoremChapter 13 - Limits: A Preview Of CalculusChapter 13.1 - Finding Limits Numerically And GraphicallyChapter 13.2 - Finding Limits AlgebraicallyChapter 13.3 - Tangent Lines And DerivativesChapter 13.4 - Limits At Infinity; Limits Of SequencesChapter 13.5 - Areas
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This bestselling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principl
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