 Chapter 1: Functions
 Chapter 1.1: Functions and Their Graphs
 Chapter 1.2: Combining Functions; Shifting and Scaling Graphs
 Chapter 1.3: Trigonometric Functions
 Chapter 1.4: Graphing with Software
 Chapter 1.5: Exponential Functions
 Chapter 1.6: Inverse Functions and Logarithms
 Chapter 10: Infinite Sequences and Series
 Chapter 10. 10:
 Chapter 10.1: Sequences
 Chapter 10.10: Sequences
 Chapter 10.2: Infinite Series
 Chapter 10.3: The Integral Test
 Chapter 10.4: Comparison Tests
 Chapter 10.5: Absolute Convergence; The Ratio and Root Tests
 Chapter 10.6: Alternating Series and Conditional Convergence
 Chapter 10.7: Power Series
 Chapter 10.8: Taylor and Maclaurin Series
 Chapter 10.9: Convergence of Taylor Series
 Chapter 11: Parametric Equations and Polar Coordinates
 Chapter 11.1: Parametrizations of Plane Curves
 Chapter 11.2: Calculus with Parametric Curves
 Chapter 11.3: Polar Coordinates
 Chapter 11.4: Graphing Polar Coordinate Equations
 Chapter 11.5: Areas and Lengths in Polar Coordinates
 Chapter 11.6: Conic Sections
 Chapter 11.7: Conics in Polar Coordinates
 Chapter 12: Vectors and the Geometry of Space
 Chapter 12.1: ThreeDimensional Coordinate Systems
 Chapter 12.2: Vectors
 Chapter 12.3: The Dot Product
 Chapter 12.4: The Cross Product
 Chapter 12.5: Lines and Planes in Space
 Chapter 12.6: Cylinders and Quadric Surfaces
 Chapter 13: VectorValued Functions and Motion in Space
 Chapter 13.1: Curves in Space and Their Tangents
 Chapter 13.2: Integrals of Vector Functions; Projectile Motion
 Chapter 13.3: Arc Length in Space
 Chapter 13.4: Curvature and Normal Vectors of a Curve
 Chapter 13.5: Tangential and Normal Components of Acceleration
 Chapter 13.6: Velocity and Acceleration in Polar Coordinates
 Chapter 14: Partial Derivatives
 Chapter 14.1: Functions of Several Variables
 Chapter 14.10: Functions of Several Variables
 Chapter 14.2: Limits and Continuity in Higher Dimensions
 Chapter 14.3: Partial Derivatives
 Chapter 14.4: The Chain Rule
 Chapter 14.5: Directional Derivatives and Gradient Vectors
 Chapter 14.6: Tangent Planes and Differentials
 Chapter 14.7: Extreme Values and Saddle Points
 Chapter 14.8: Lagrange Multipliers
 Chapter 14.9: Taylor’s Formula for Two Variables
 Chapter 15: Multiple Integrals
 Chapter 15.1: Double and Iterated Integrals over Rectangles
 Chapter 15.2: Double Integrals over General Regions
 Chapter 15.3: Area by Double Integration
 Chapter 15.4: Double Integrals in Polar Form
 Chapter 15.5: Triple Integrals in Rectangular Coordinates
 Chapter 15.6: Moments and Centers of Mass
 Chapter 15.7: Triple Integrals in Cylindrical and Spherical Coordinates
 Chapter 15.8: Substitutions in Multiple Integrals
 Chapter 16: Integrals and Vector Fields
 Chapter 16.1: Line Integrals
 Chapter 16.2: Vector Fields and Line Integrals: Work, Circulation, and Flux
 Chapter 16.3: Path Independence, Conservative Fields, and Potential Functions
 Chapter 16.4: Green’s Theorem in the Plane
 Chapter 16.5: Surfaces and Area
 Chapter 16.6: Surface Integrals
 Chapter 16.7: Stokes’ Theorem
 Chapter 16.8: The Divergence Theorem and a Unified Theory
 Chapter 2: Limits and Continuity
 Chapter 2.1: Rates of Change and Tangents to Curves
 Chapter 2.2: Limit of a Function and Limit Laws
 Chapter 2.3: The Precise Definition of a Limit
 Chapter 2.4: OneSided Limits
 Chapter 2.5: Continuity
 Chapter 2.6: Limits Involving Infinity; Asymptotes of Graphs
 Chapter 3: Derivatives
 Chapter 3.1: Tangents and the Derivative at a Point
 Chapter 3.10: Tangents and the Derivative at a Point
 Chapter 3.11: Linearization and Differentials
 Chapter 3.2: The Derivative as a Function
 Chapter 3.3: Differentiation Rules
 Chapter 3.4: The Derivative as a Rate of Change
 Chapter 3.5: Derivatives of Trigonometric Functions
 Chapter 3.6: The Chain Rule
 Chapter 3.7: Implicit Differentiation
 Chapter 3.8: Derivatives of Inverse Functions and Logarithms
 Chapter 3.9: Inverse Trigonometric Functions
 Chapter 4: Applications of Derivatives
 Chapter 4.1: Extreme Values of Functions
 Chapter 4.2: The Mean Value Theorem
 Chapter 4.3: Monotonic Functions and the First Derivative Test
 Chapter 4.4: Concavity and Curve Sketching
 Chapter 4.5: Indeterminate Forms and L’Hôpital’s Rule
 Chapter 4.6: Applied Optimization
 Chapter 4.7: Newton’s Method
 Chapter 4.8: Antiderivatives
 Chapter 5: Integrals
 Chapter 5.1: Area and Estimating with Finite Sums
 Chapter 5.2: Sigma Notation and Limits of Finite Sums
 Chapter 5.3: The Definite Integral
 Chapter 5.4: The Fundamental Theorem of Calculus
 Chapter 5.5: Indefinite Integrals and the Substitution Method
 Chapter 5.6: Definite Integral Substitutions and the Area Between Curves
 Chapter 6: Applications of Definite Integrals
 Chapter 6.1: Volumes Using CrossSections
 Chapter 6.2: Volumes Using Cylindrical Shells
 Chapter 6.3: Arc Length
 Chapter 6.4: Areas of Surfaces of Revolution
 Chapter 6.5: Work and Fluid Forces
 Chapter 6.6: Moments and Centers of Mass
 Chapter 7: Integrals and Transcendental Functions
 Chapter 7.1: The Logarithm Defined as an Integral
 Chapter 7.2: Exponential Change and Separable Differential Equations
 Chapter 7.3: Hyperbolic Functions
 Chapter 7.4: Relative Rates of Growth
 Chapter 8: Techniques of Integration
 Chapter 8.1: Using Basic Integration Formulas
 Chapter 8.2: Integration by Parts
 Chapter 8.3: Trigonometric Integrals
 Chapter 8.4: Trigonometric Substitutions
 Chapter 8.5: Integration of Rational Functions by Partial Fractions
 Chapter 8.6: Integral Tables and Computer Algebra Systems
 Chapter 8.7: Numerical Integration
 Chapter 8.8: Improper Integrals
 Chapter 8.9: Probability
 Chapter 9: FirstOrder Differential Equations
 Chapter 9.1: Solutions, Slope Fields, and Euler’s Method
 Chapter 9.2: FirstOrder Linear Equations
 Chapter 9.3: Applications
 Chapter 9.4: Graphical Solutions of Autonomous Equations
 Chapter 9.5: Systems of Equations and Phase Planes
 Chapter A.1:
 Chapter A.2:
 Chapter A.3:
 Chapter A.4:
 Chapter A.7:
Thomas' Calculus: Early Transcendentals 13th Edition  Solutions by Chapter
Full solutions for Thomas' Calculus: Early Transcendentals  13th Edition
ISBN: 9780321884077
Thomas' Calculus: Early Transcendentals  13th Edition  Solutions by Chapter
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Additive identity for the complex numbers
0 + 0i is the complex number zero

Axis of symmetry
See Line of symmetry.

Coordinate(s) of a point
The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian threedimensional space

First quartile
See Quartile.

Linear inequality in x
An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

Logarithmic reexpression of data
Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

Major axis
The line segment through the foci of an ellipse with endpoints on the ellipse

Mode of a data set
The category or number that occurs most frequently in the set.

Quotient polynomial
See Division algorithm for polynomials.

Reciprocal function
The function ƒ(x) = 1x

Reflection across the yaxis
x, y and (x,y) are reflections of each other across the yaxis.

Relation
A set of ordered pairs of real numbers.

Relevant domain
The portion of the domain applicable to the situation being modeled.

Slant asymptote
An end behavior asymptote that is a slant line

Standard unit vectors
In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

Sum of two vectors
<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

Terms of a sequence
The range elements of a sequence.

Weights
See Weighted mean.

Whole numbers
The numbers 0, 1, 2, 3, ... .

Zoom out
A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).