 Chapter 0: Before Calculus
 Chapter 0.1: Functions
 Chapter 0.2: New Functions from Old
 Chapter 0.3: Families of Functions
 Chapter 0.4: Inverse Functions; Inverse Trigonometric Functions
 Chapter 0.5: Exponential and Logarithmic Functions
 Chapter 1: Limits and Continuity
 Chapter 1.1: Limits (An Intuitive Approach)
 Chapter 1.2: Computing Limits
 Chapter 1.3: Limits at Infinity; End Behavior of a Function
 Chapter 1.4: Limits (Discussed More Rigorously)
 Chapter 1.5: Continuity
 Chapter 1.6: Continuity of Trigonometric, Exponential, and Inverse Functions
 Chapter 10: Parametric and Polar Curves; Conic Sections
 Chapter 10.1: Parametric Equations; Tangent Lines and Arc Length for Parametric Curves
 Chapter 10.2: Polar Coordinates
 Chapter 10.3: Tangent Lines, Arc Length, and Area for Polar Curves
 Chapter 10.4: Conic Sections
 Chapter 10.5: Rotation of Axes; SecondDegree Equations
 Chapter 10.6: Conic Sections in Polar Coordinates
 Chapter 11: Threedimensional space; Vectors
 Chapter 11.1: Rectangular Coordinates in 3Space; Spheres; Cylindrical Surfaces
 Chapter 11.2: Vectors
 Chapter 11.3: Dot Product; Projections
 Chapter 11.4: Cross Product
 Chapter 11.5: Parametric Equations of Lines
 Chapter 11.6: Planes in 3Space
 Chapter 11.7: Quadric Surfaces
 Chapter 11.8: Cylindrical and Spherical Coordinates
 Chapter 12: Vectorvalued Functions
 Chapter 12.1: Introduction to VectorValued Functions
 Chapter 12.2: Calculus of VectorValued Functions
 Chapter 12.3: Change of Parameter; Arc Length
 Chapter 12.4: Unit Tangent, Normal, and Binormal Vectors
 Chapter 12.5: Curvature
 Chapter 12.6: Motion Along a Curve
 Chapter 12.7: Kepler’s Laws of Planetary Motion
 Chapter 13: Partial Derivatives
 Chapter 13.1: Functions of Two or More Variables
 Chapter 13.2: Limits and Continuity
 Chapter 13.3: Partial Derivatives
 Chapter 13.4: Differentiability, Differentials, and Local Linearity
 Chapter 13.5: The Chain Rule
 Chapter 13.6: Directional Derivatives and Gradients
 Chapter 13.7: Tangent Planes and Normal Vectors
 Chapter 13.8: Maxima and Minima of Functions of Two Variables
 Chapter 13.9: Lagrange Multipliers
 Chapter 14: Multiple Integrals
 Chapter 14.1: Double Integrals
 Chapter 14.2: Double Integrals over Nonrectangular Regions
 Chapter 14.3: Double Integrals in Polar Coordinates
 Chapter 14.4: Surface Area; Parametric Surfaces
 Chapter 14.5: Triple Integrals
 Chapter 14.6: Triple Integrals in Cylindrical and Spherical Coordinates
 Chapter 14.7: Change of Variables in Multiple Integrals; Jacobians
 Chapter 14.8: Centers of Gravity Using Multiple Integrals
 Chapter 15: Topics in Vector Calculus
 Chapter 15.1: Vector Fields
 Chapter 15.2: Line Integrals
 Chapter 15.3: Independence of Path; Conservative Vector Fields
 Chapter 15.4: Green’s Theorem
 Chapter 15.5: Surface Integrals
 Chapter 15.6: Applications of Surface Integrals; Flux
 Chapter 15.7: The Divergence Theorem
 Chapter 15.8: Stokes’ Theorem
 Chapter 2: The Derivative
 Chapter 2.1: Tangent Lines and Rates of Change
 Chapter 2.2: The Derivative Function
 Chapter 2.3: Introduction to Techniques of Differentiation
 Chapter 2.4: The Product and Quotient Rules
 Chapter 2.5: Derivatives of Trigonometric Functions
 Chapter 2.6: The Chain Rule
 Chapter 3: Topics in Differentiation
 Chapter 3.1: Implicit Differentiation
 Chapter 3.2: Derivatives of Logarithmic Functions
 Chapter 3.3: Derivatives of Exponential and Inverse Trigonometric Functions
 Chapter 3.4: Related Rates
 Chapter 3.5: Local Linear Approximation; Differentials
 Chapter 3.6: L’Hôpital’s Rule; Indeterminate Forms
 Chapter 4: The Derivative in Graphing and Applications
 Chapter 4.1: Analysis of Functions I: Increase, Decrease, and Concavity
 Chapter 4.2: Analysis of Functions II: Relative Extrema; Graphing Polynomials
 Chapter 4.3: Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents
 Chapter 4.4: Absolute Maxima and Minima
 Chapter 4.5: Applied Maximum and Minimum Problems
 Chapter 4.6: Rectilinear Motion
 Chapter 4.7: Newton’s Method
 Chapter 4.8: Rolle’s Theorem; MeanValue Theorem
 Chapter 5: Integration
 Chapter 5.1: An Overview of the Area Problem
 Chapter 5.2: The Indefinite Integral
 Chapter 5.3: Integration by Substitution
 Chapter 5.4: The Definition of Area as a Limit; Sigma Notation
 Chapter 5.5: The Definite Integral
 Chapter 5.6: The Fundamental Theorem of Calculus
 Chapter 5.7: Rectilinear Motion Revisited Using Integration
 Chapter 5.8: Average Value of a Function and its Applications
 Chapter 5.9: Evaluating Definite Integrals by Substitution
 Chapter 6: Applications of the Definite Integral in Geometry, Science, and Engineering
 Chapter 6.1: Area Between Two Curves
 Chapter 6.2: Volumes by Slicing; Disks and Washers
 Chapter 6.3: Volumes by Cylindrical Shells
 Chapter 6.4: Length of a Plane Curve
 Chapter 6.5: Area of a Surface of Revolution
 Chapter 6.6: Work
 Chapter 6.7: Moments, Centers of Gravity, and Centroids
 Chapter 6.8: Fluid Pressure and Force
 Chapter 6.9: Hyperbolic Functions and Hanging Cables
 Chapter 7: Principles of Integral Evaluation
 Chapter 7.1: An Overview of Integration Methods
 Chapter 7.2: Integration by Parts
 Chapter 7.3: Integrating Trigonometric Functions
 Chapter 7.4: Trigonometric Substitutions
 Chapter 7.5: Integrating Rational Functions by Partial Fractions
 Chapter 7.6: Using Computer Algebra Systems and Tables of Integrals
 Chapter 7.7: Numerical Integration; Simpson’s Rule
 Chapter 7.8: Improper Integrals
 Chapter 8: Mathematical Modeling with Differential Equations
 Chapter 8.1: Modeling with Differential Equations
 Chapter 8.2: Separation of Variables
 Chapter 8.3: Slope Fields; Euler’s Method
 Chapter 8.4: FirstOrder Differential Equations and Applications
 Chapter 9: Infinite Series
 Chapter 9.1: Sequences
 Chapter 9.10: Sequences
 Chapter 9.2: Monotone Sequences
 Chapter 9.3: Infinite Series
 Chapter 9.4: Convergence Tests
 Chapter 9.5: The Comparison, Ratio, and Root Tests
 Chapter 9.6: Alternating Series; Absolute and Conditional Convergence
 Chapter 9.7: Maclaurin and Taylor Polynomials
 Chapter 9.8: Maclaurin and Taylor Series; Power Series
 Chapter 9.9: Convergence of Taylor Series
Calculus: Early Transcendentals, 10th Edition  Solutions by Chapter
Full solutions for Calculus: Early Transcendentals,  10th Edition
ISBN: 9780470647691
Calculus: Early Transcendentals,  10th Edition  Solutions by Chapter
Get Full SolutionsThe full stepbystep solution to problem in Calculus: Early Transcendentals, were answered by , our top Calculus solution expert on 03/02/18, 04:47PM. Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. This expansive textbook survival guide covers the following chapters: 133. Since problems from 133 chapters in Calculus: Early Transcendentals, have been answered, more than 208718 students have viewed full stepbystep answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10.

Central angle
An angle whose vertex is the center of a circle

Chord of a conic
A line segment with endpoints on the conic

Constant
A letter or symbol that stands for a specific number,

Difference of complex numbers
(a + bi)  (c + di) = (a  c) + (b  d)i

Difference of functions
(ƒ  g)(x) = ƒ(x)  g(x)

Direction vector for a line
A vector in the direction of a line in threedimensional space

equation of a parabola
(x  h)2 = 4p(y  k) or (y  k)2 = 4p(x  h)

Equivalent systems of equations
Systems of equations that have the same solution.

Implicitly defined function
A function that is a subset of a relation defined by an equation in x and y.

NDER ƒ(a)
See Numerical derivative of ƒ at x = a.

Number line graph of a linear inequality
The graph of the solutions of a linear inequality (in x) on a number line

Odd function
A function whose graph is symmetric about the origin (ƒ(x) = ƒ(x) for all x in the domain of f).

Onetoone rule of logarithms
x = y if and only if logb x = logb y.

Permutation
An arrangement of elements of a set, in which order is important.

Rigid transformation
A transformation that leaves the basic shape of a graph unchanged.

Row operations
See Elementary row operations.

Terminal point
See Arrow.

Trigonometric form of a complex number
r(cos ? + i sin ?)

Variation
See Power function.

Vertical stretch or shrink
See Stretch, Shrink.