Solutions for Precalculus
Problem 1SP:
Find the distance between the points 1,4and3,6 . Give the exact distance and an approximation to 2...Problem 1PE:
In a rectangular coordinate system, the point where the x-andy-axes meet is called the .Problem 7PE:
A y-intercept of a graph has an x-coordinate of .Problem 11PE:
For Exercises 11-18, a. Find the exact distance between the points. (See Examples 1) b. Find the...Problem 13PE:
For Exercises 11-18, a. Find the exact distance between the points. (See Examples 1) b. Find the...Problem 14PE:
For Exercises 11-18, a. Find the exact distance between the points. (See Examples 1) b. Find the...Problem 16PE:
For Exercises 11-18, a. Find the exact distance between the points. (See Examples 1) b. Find the...Problem 20PE:
For Exercises 19-22, determine if the given points form the vertices of a right triangle. (See...Problem 22PE:
For Exercises 19-22, determine if the given points form the vertices of a right triangle. (See...Problem 26PE:
For Exercises 25-30, identify the set of value x for which y will be a real number. y=2x+7Problem 27PE:
For Exercises 25-30, identify the set of value x for which y will be a real number. y=x10Problem 29PE:
For Exercises 25-30, identify the set of value x for which y will be a real number. y=1.5xProblem 40PE:
For Exercises 31-44, graph the equation by plotting points. (See Examples 4-5) y2x+1=0Problem 63PE:
A map of a wilderness area is drawn with the origin placed at the parking area. Two fire observation...Problem 64PE:
A map of a state park is draw so that the origin is placed at the visitor center. The distance...Problem 65PE:
The position of an object in a video game is represented by an ordered pair. The coordinates of the...Problem 67PE:
Verify that the points A0,0,Bx,0,andC12x,32x make up the vertices of an equilateral triangle.Problem 68PE:
Verify that the points A0,0,Bx,0,andC0,x make up the vertices of an isosceles right triangle (an...Problem 70PE:
For Exercises 69-70, assume that the units shown in the grid are in feet. a. Determine the exact...Problem 72PE:
For Exercises 71-72, the endpoints of a diameter of a circle are shown. Find the center and radius...Problem 73PE:
For Exercises 73-74, an isosceles triangle is shown. Find the area of the triangle. Assume that the...Problem 75PE:
For Exercises 75-78, determine if points A,B,andC are collinear. Three points are collinear if they...Problem 76PE:
For Exercises 75-78, determine if points A,B,andC are collinear. Three points are collinear if they...Problem 78PE:
For Exercises 75-78, determine if points A,B,andC are collinear. Three points are collinear if they...Problem 79PE:
Suppose that d represents the distance between two points x1,y1andx2,y2. Explain how the distance...Problem 84PE:
A point in three-dimensional space can be represented in a three-dimensional coordinate system. In...Problem 86PE:
A point in three-dimensional space can be represented in a three-dimensional coordinate system. In...Problem 87PE:
What is meant by a viewing window on a graphing device?Problem 88PE:
Which of the viewing windows would show both the x-andy-intercepts of the graph of 780x42y=5460?...Problem 89PE:
For Exercises 89-92, graph the equation with a graphing utility on the given viewing window. (See...Problem 90PE:
For Exercises 89-92, graph the equation with a graphing utility on the given viewing window. (See...Problem 91PE:
For Exercises 89-92, graph the equation with a graphing utility on the given viewing window. (See...Problem 92PE:
For Exercises 89-92, graph the equation with a graphing utility on the given viewing window. (See...Browse All Chapters of This Textbook
Chapter R - Review Of PrerequisitesChapter R.1 - Sets And The Real Number LineChapter R.2 - Exponents And RadicalsChapter R.3 - Polynomials And FactoringChapter R.4 - Rational Expressions And More Operations On RadicalsChapter R.5 - Equations With Real SolutionsChapter R.6 - Complex Numbers And More Quadratic EquationsChapter R.7 - Applications Of EquationsChapter R.8 - Linear, Compound, And Absolute Value InequalitiesChapter 1 - Functions And Relations
Chapter 1.1 - The Rectangular Coordinate System And Graphing UtilitiesChapter 1.2 - CirclesChapter 1.3 - Functions And RelationsChapter 1.4 - Linear Equations In Two Variables And Linear FunctionsChapter 1.5 - Applications Of Linear Equations And ModelingChapter 1.6 - Transformations Of GraphsChapter 1.7 - Analyzing Graphs Of Functions And Piecewise-defined FunctionsChapter 1.8 - Algebra Of Functions And Function CompositionChapter 2 - Polynomial And Rational FunctionsChapter 2.1 - Quadratic Functions And ApplicationsChapter 2.2 - Introduction To Polynomial FunctionsChapter 2.3 - Division Of Polynomials And The Remainder And Factor TheoremsChapter 2.4 - Zeros Of PolynomialsChapter 2.5 - Rational FunctionsChapter 2.6 - Polynomial And Rational InequalitiesChapter 2.7 - VariationChapter 3 - Exponential And Logarithmic FunctionsChapter 3.1 - Inverse FunctionsChapter 3.2 - Exponential FunctionsChapter 3.3 - Logarithmic FunctionsChapter 3.4 - Properties Of LogarithmsChapter 3.5 - Exponential And Logarithmic Equations And ApplicationsChapter 3.6 - Modeling With Exponential And Logarithmic FunctionsChapter 4 - Trigonometric FunctionsChapter 4.1 - Angles And Their MeasureChapter 4.2 - Trigonometric Functions Defined On The Unit CircleChapter 4.3 - Right Triangle TrigonometryChapter 4.4 - Trigonometric Functions Of Any AngleChapter 4.5 - Graphs Of Sine And Cosine FunctionsChapter 4.6 - Graphs Of Other Trigonometric FunctionsChapter 4.7 - Inverse Trigonometric FunctionsChapter 5 - Analytic TrigonometryChapter 5.1 - Fundamental Trigonometric IdentitiesChapter 5.2 - Sum And Difference FormulasChapter 5.3 - Double-angle, Power-reducing, And Half-angle FormulasChapter 5.4 - Product-to-sum And Sum-to-product FormulasChapter 5.5 - Trigonometric EquationsChapter 6 - Applications Of Trigonometric FunctionsChapter 6.1 - Applications Of Right TrianglesChapter 6.2 - The Law Of SinesChapter 6.3 - The Law Of CosinesChapter 6.4 - Harmonic MotionChapter 7 - Trigonometry Applied To Polar Coordinate Systems And VectorsChapter 7.1 - Polar CoordinatesChapter 7.2 - Graphs Of Polar EquationsChapter 7.3 - Complex Numbers In Polar FormChapter 7.4 - VectorsChapter 7.5 - Dot ProductChapter 8 - Systems Of Equations And InequalitiesChapter 8.1 - Systems Of Linear Equations In Two Variables And ApplicationsChapter 8.2 - Systems Of Linear Equations In Three Variables And ApplicationsChapter 8.3 - Partial Fraction DecompositionChapter 8.4 - Systems Of Nonlinear Equations In Two VariablesChapter 8.5 - Inequalities And Systems Of Inequalities In Two VariablesChapter 8.6 - Linear ProgrammingChapter 9 - Matrices And Determinants And ApplicationsChapter 9.1 - Solving Systems Of Linear Equations Using MatricesChapter 9.2 - Inconsistent Systems And Dependent EquationsChapter 9.3 - Operations On MatricesChapter 9.4 - Inverse Matrices And Matrix EquationsChapter 9.5 - Determinants And Cramer’s RuleChapter 10 - Analytic GeometryChapter 10.1 - The EllipseChapter 10.2 - The HyperbolaChapter 10.3 - The ParabolaChapter 10.4 - Rotation Of AxesChapter 10.5 - Polar Equations Of ConicsChapter 10.6 - Plane Curves And Parametric EquationsChapter 11 - Sequences, Series, Induction, And ProbabilityChapter 11.1 - Sequences And SeriesChapter 11.2 - Arithmetic Sequences And SeriesChapter 11.3 - Geometric Sequences And SeriesChapter 11.4 - Mathematical InductionChapter 11.5 - The Binomial TheoremChapter 11.6 - Principles Of CountingChapter 11.7 - Introduction To Probability
Book Details
Julie Miller wrote her developmental math series because students were coming into her Precalculus course underprepared. They weren’t mathematically mature enough to understand the concepts of math nor were they fully engaged with the material. She began her developmental mathematics offerings with intermediate algebra to help bridge that gap. The Precalculus series is a carefully constructed end to that bridge that uses the highly effective pedagogical features from her fastest growing developmental math series. What sets Julie Miller’s series apart is that it addresses course issues through an author-created digital package that maintains a consistent voice and notation throughout the program. This consistency--in videos, PowerPoints, Lecture Notes, and Group Activities--coupled with the power of ALEKS and Connect Hosted by ALEKS, ensures that students master the skills necessary to be successful in Precalculus and can carry them through to the calculus sequence.
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PRECALCULAS-ALEKS 360 ACCESS CODE
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ISBN: 9780078035609
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20th Edition
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17th Edition
ISBN: 9781259723308
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17th Edition
ISBN: 9781259822100
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ALEKS 360 ACCESS CARD FOR PRECALCULUS
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