- 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: Review of Fundamental Concepts of Algebra
- 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
Solutions by Chapter
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 57014 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.
Key Calculus Terms and definitions covered in this textbook
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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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Binomial coefficients
The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!
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Circle
A set of points in a plane equally distant from a fixed point called the center
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Cone
See Right circular cone.
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Distance (on a number line)
The distance between real numbers a and b, or |a - b|
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Exponential growth function
Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .
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Half-life
The amount of time required for half of a radioactive substance to decay.
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Logarithmic function with base b
The inverse of the exponential function y = bx, denoted by y = logb x
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Modified boxplot
A boxplot with the outliers removed.
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n factorial
For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1
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Projection of u onto v
The vector projv u = au # vƒvƒb2v
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Pseudo-random numbers
Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random
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Quotient identities
tan ?= sin ?cos ?and cot ?= cos ? sin ?
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Random numbers
Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).
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Series
A finite or infinite sum of terms.
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Standard form of a polar equation of a conic
r = ke 1 e cos ? or r = ke 1 e sin ? ,
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Synthetic division
A procedure used to divide a polynomial by a linear factor, x - a
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Unbounded interval
An interval that extends to -? or ? (or both).
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Work
The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.
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yz-plane
The points (0, y, z) in Cartesian space.