- Chapter 1: Functions and Their Graphs
- Chapter 1.1: Rectangular Coordinates
- Chapter 1.10: Mathematical Modeling and Variation
- Chapter 1.2: Graphs of Equations
- Chapter 1.3: Linear Equations in Two Variables
- Chapter 1.4: Functions
- Chapter 1.5: Analyzing Graphs of Functions
- Chapter 1.6: A Library of Parent Functions
- Chapter 1.7: Transformations of Functions
- Chapter 1.8: Combinations of Functions: Composite Functions
- Chapter 1.9: Inverse Functions
- Chapter 10: Topics in Analytic Geometry
- Chapter 10.1: Lines
- Chapter 10.2: Introduction to Conics: Parabolas
- Chapter 10.3: Ellipses
- Chapter 10.4: Hyperbolas
- Chapter 10.5: Rotation of Conics
- Chapter 10.6: Parametric Equations
- Chapter 10.7: Polar Coordinates
- Chapter 10.8: Graphs of Polar Equations
- Chapter 10.9: Polar Equations of Conics
- Chapter 11: Analytic Geometry in Three Dimensions
- Chapter 11.1: The Three-Dimensional Coordinate System
- Chapter 11.2: Vectors in Space
- Chapter 11.3: The Cross Product of Two Vectors
- Chapter 11.4: Lines and Planes in Space
- Chapter 12: Limits and an Introduction to Calculus
- Chapter 12.1: Introduction to Limits
- Chapter 12.2: Techniques for Evaluating Limits
- Chapter 12.3: The Tangent Line Problem
- Chapter 12.4: Limits at Infinity and Limits of Sequences
- Chapter 12.5: The Area Problem
- Chapter 2: Polynomial and Rational Functions
- Chapter 2.1: Quadratic Functions and Models
- Chapter 2.2: Polynomial Functions of Higher Degree
- Chapter 2.3: Polynomial and Synthetic Division
- Chapter 2.4: Complex Numbers
- Chapter 2.5: Zeros of Polynomial Functions
- Chapter 2.6: Rational Functions
- Chapter 2.7: Nonlinear Inequalities
- Chapter 3: Exponential and Logarithmic Functions
- Chapter 3.1: Exponential Functions and Their Graphs
- Chapter 3.2: Logarithmic Functions and Their Graphs
- Chapter 3.3: Properties of Logarithms
- Chapter 3.4: Exponential and Logarithmic Equations
- Chapter 3.5: Exponential and Logarithmic Models
- Chapter 4: Trigonometry
- Chapter 4.1: Radian and Degree Measure
- Chapter 4.2: Trigonometric Functions: The Unit Circle
- Chapter 4.3: Right Triangle Trigonometry
- Chapter 4.4: Trigonometric Functions of Any Angle
- Chapter 4.5: Graphs of Sine and Cosine Functions
- Chapter 4.6: Graphs of Other Trigonometric Functions
- Chapter 4.7: Inverse Trigonometric Functions
- Chapter 4.8: Applications and Models
- Chapter 5: Analytic Trigonometry
- Chapter 5.1: Using Fundamental Identities
- Chapter 5.2: Verifying Trigonometric Identities
- Chapter 5.3: Solving Trigonometric Equations
- Chapter 5.4: Sum and Difference Formulas
- Chapter 5.5: Multiple-Angle and Product-to-Sum Formulas
- Chapter 6: Additional Topics in Trigonometry
- Chapter 6.1: Law of Sines
- Chapter 6.2: Law of Cosines
- Chapter 6.3: Vectors in the Plane
- Chapter 6.4: Vectors and Dot Products
- Chapter 6.5: Trigonometric Form of a Complex Number
- Chapter 7: Systems and Equations and Inequalities
- Chapter 7.1: Linear and Nonlinear Systems of Equations
- Chapter 7.2: Two-Variable Linear Systems
- Chapter 7.3: Multivariable Linear Systems
- Chapter 7.4: Partial Fractions
- Chapter 7.5: Systems of Inequalities
- Chapter 7.6: Linear Programming
- Chapter 8: Matrices and Determinants
- Chapter 8.1: Matrices and Systems of Equations
- Chapter 8.2: Operations with Matrices
- Chapter 8.3: The Inverse of a Square Matrix
- Chapter 8.4: The Determinant of a Square Matrix
- Chapter 8.5: Applications of Matrices and Determinants
- Chapter 9: Sequences, Series, and Probability
- Chapter 9.1: Sequences and Series
- Chapter 9.2: Arithmetic Sequences and Partial Sums
- Chapter 9.3: Geometric Sequences and Series
- Chapter 9.4: Mathematical Induction
- Chapter 9.5: The Binomial Theorem
- Chapter 9.6: Counting Principles
- Chapter 9.7: Probability
- Chapter A.1: Real Numbers and Their Properties
- Chapter A.2: Exponents and Radicals
- Chapter A.3: Polynomials and Factoring
- Chapter A.4: Rational Expressions
- Chapter A.5: Solving Equations
- Chapter A.6: Linear Inequalities in One Variable
- Chapter A.7: Errors and the Algebra of Calculus
Precalculus with Limits 3rd Edition - Solutions by Chapter
Full solutions for Precalculus with Limits | 3rd Edition
ISBN: 9781133947202
The full step-by-step solution to problem in Precalculus with Limits were answered by , our top Calculus solution expert on 03/16/18, 04:14PM. Precalculus with Limits was written by and is associated to the ISBN: 9781133947202. Since problems from 95 chapters in Precalculus with Limits have been answered, more than 128687 students have viewed full step-by-step answer. This textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3. This expansive textbook survival guide covers the following chapters: 95.
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Ambiguous case
The case in which two sides and a nonincluded angle can determine two different triangles
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Anchor
See Mathematical induction.
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Definite integral
The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists
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Directed line segment
See Arrow.
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Exponential function
A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1
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Focal axis
The line through the focus and perpendicular to the directrix of a conic.
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Fundamental
Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).
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Law of sines
sin A a = sin B b = sin C c
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Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large
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Linear combination of vectors u and v
An expression au + bv , where a and b are real numbers
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Natural exponential function
The function ƒ1x2 = ex.
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Objective function
See Linear programming problem.
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Parametrization
A set of parametric equations for a curve.
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Perihelion
The closest point to the Sun in a planet’s orbit.
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Real number line
A horizontal line that represents the set of real numbers.
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Row echelon form
A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.
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Standard representation of a vector
A representative arrow with its initial point at the origin
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Transverse axis
The line segment whose endpoints are the vertices of a hyperbola.
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Velocity
A vector that specifies the motion of an object in terms of its speed and direction.
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Yscl
The scale of the tick marks on the y-axis in a viewing window.