Precalculus: Mathematics for Calculus7th EditionJames Stewart, Lothar Redlin, Saleem Watson Publisher: Cengage LearningISBN: 9781305115309
Precalculus: Mathematics for Calculus
Solutions for Precalculus: Mathematics for Calculus
Problem 1RCC:
(a) What does the set of natural numbers consist of? What does the set of integers consist of? Give...Problem 2RCC:
A property of real numbers is given. State the property and give an example in which the property is...Problem 4RCC:
Give the formula for finding the distance between two real numbers a and b. Use the formula to find...Problem 11RCC:
State the Special Product Formulas used for expanding the given expression. (i) (a + b)2 (ii) (a ...Problem 27RCC:
State the guidelines for modeling with equations.Problem 1RE:
Properties of Real Numbers State the property of real numbers being used. 1. 3x + 2y = 2y + 3xProblem 20RE:
Radicals and Exponents Simplify the expression. 20. (a) 8r1/2s32r2s4 (b) (ab2c32a3b4)2Problem 50RE:
Operations with Algebraic Expressions Perform the indicated operations and simplify. 50....Problem 81RE:
Mixtures The owner of a store sells raisins for 3.20 per pound and nuts for 2.40 per pound. He...Problem 82RE:
Distance and Time Anthony leaves Kingstown at 2:00 p.m. and drives to Queensville, 160 mi distant,...Problem 83RE:
Distance and Time A woman cycles 8 mi/h faster than she runs. Every morning she cycles 4 mi and runs...Problem 84RE:
Geometry The hypotenuse of a right triangle has length 20 cm. The sum of the lengths of the other...Problem 85RE:
Doing the Job Abbie paints twice as fast as Beth and three times as fast as Cathie. If it takes them...Problem 86RE:
Dimensions of a Garden A homeowner wishes to fence in three adjoining garden plots, one for each of...Problem 90RE:
Inequalities Solve the inequality. Express the solution using interval notation and graph the...Problem 131RE:
Stretching a Spring Hookes Law states that if a weight w is attached to a hanging spring, then the...Problem 132RE:
Annual Salary Margarita is hired by an accounting firm at a salary of 60,000 per year. Three years...Problem 149RE:
Variation Suppose that M varies directly as z, and M = 120 when z = 15. Write an equation that...Problem 152RE:
Vibrating String The frequency of a vibrating string under constant tension is inversely...Problem 153RE:
Terminal Velocity The terminal velocity of a parachutist is directly proportional to the square root...Problem 154RE:
Range of a Projectile The maximum range of a projectile is directly proportional to the square of...Problem 1T:
(a) Graph the intervals (5, 3] and (2, ) on the real number line. (b) Express the inequalities x 3...Problem 4T:
Simplify each expression. Write your final answer without negative exponents. (a) 20032 (b)...Problem 9T:
Perform the indicated operations, and write the result in the form a + bi. (a) (3 2i) + (4 + 3i)...Problem 11T:
Mary drove from Amity to Belleville at a speed of 50 mi/h. On the way back, she drove at 60 mi/h....Problem 14T:
A bottle of medicine is to be stored at a temperature between 5C and 10C. What range does this...Problem 16T:
(a) Plot the points P(0, 3), Q(3, 0), and R(6, 3) in the coordinate plane. Where must the point S be...Problem 20T:
Write the linear equation 2x 3y = 15 in slope-intercept form, and sketch its graph. What are the...Problem 22T:
A geologist measures the temperature T (in C) of the soil at various depths below the surface and...Problem 24T:
The maximum weight M that can be supported by a beam is jointly proportional to its width w and the...Problem 1P:
Femur Length and Height Anthropologists use a linear model that relates femur length to height. The...Problem 2P:
Demand for Soft Drinks A convenience store manager notices that sales of soft drinks are higher on...Problem 5P:
Temperature and Chirping Crickets Biologists have observed that the chirping rate of crickets of a...Problem 6P:
Extent of Arctic Sea Ice The National Snow and Ice Data Center monitors the amount of ice in the...Problem 7P:
Mosquito Prevalence The table in the margin lists the relative abundance of mosquitoes (as measured...Problem 8P:
Noise and Intelligibility Audiologists study the intelligibility of spoken sentences under different...Problem 9P:
Life Expectancy The average life expectancy in the United States has been rising steadily over the...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
Book Details
Precalculus: Mathematics for Calculus, High School Edition [Hardcover] [Jan 01, 2015] Stewart, James; Redlin, Lothar and Watson, Saleem
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