 Chapter 1: A LIBRARY OF FUNCTIONS
 Chapter 1.1: FUNCTIONS AND CHANGE
 Chapter 1.2: EXPONENTIAL FUNCTIONS
 Chapter 1.3: NEW FUNCTIONS FROM OLD
 Chapter 1.4: LOGARITHMIC FUNCTIONS
 Chapter 1.5: TRIGONOMETRIC FUNCTIONS
 Chapter 1.6: POWERS, POLYNOMIALS, AND RATIONAL FUNCTIONS
 Chapter 1.7: INTRODUCTION TO CONTINUITY
 Chapter 1.8: LIMITS
 Chapter 10: APPROXIMATING FUNCTIONS USING SERIES
 Chapter 10.1: TAYLOR POLYNOMIALS
 Chapter 10.2: TAYLOR SERIES
 Chapter 10.3: FINDING AND USING TAYLOR SERIES
 Chapter 10.4: THE ERROR IN TAYLOR POLYNOMIAL APPROXIMATIONS
 Chapter 10.5: FOURIER SERIES
 Chapter 11: DIFFERENTIAL EQUATIONS
 Chapter 11.1: WHAT IS A DIFFERENTIAL EQUATION?
 Chapter 11.2: SLOPE FIELDS
 Chapter 11.3: EULERS METHOD
 Chapter 11.4: SEPARATION OF VARIABLES
 Chapter 11.5: SEPARATION OF VARIABLES
 Chapter 11.6: APPLICATIONS AND MODELING
 Chapter 11.7: THE LOGISTIC MODEL
 Chapter 11.8: SYSTEMS OF DIFFERENTIAL EQUATIONS
 Chapter 11.9: ANALYZING THE PHASE PLANE
 Chapter 2: KEY CONCEPT: THE DERIVATIVE
 Chapter 2.1: HOW DO WE MEASURE SPEED?
 Chapter 2.2: THE DERIVATIVE AT A POINT
 Chapter 2.3: THE DERIVATIVE FUNCTION
 Chapter 2.4: INTERPRETATIONS OF THE DERIVATIVE
 Chapter 2.5: THE SECOND DERIVATIVE
 Chapter 2.6: DIFFERENTIABILITY
 Chapter 3: SHORTCUTS TO DIFFERENTIATION
 Chapter 3.1: POWERS AND POLYNOMIALS
 Chapter 3.10: THEOREMS ABOUT DIFFERENTIABLE FUNCTIONS
 Chapter 3.2: THE EXPONENTIAL FUNCTION
 Chapter 3.3: THE PRODUCT AND QUOTIENT RULES
 Chapter 3.4: THE CHAIN RULE
 Chapter 3.5: THE TRIGONOMETRIC FUNCTIONS
 Chapter 3.6: THE CHAIN RULE AND INVERSE FUNCTIONS
 Chapter 3.7: THE CHAIN RULE AND INVERSE FUNCTIONS
 Chapter 3.8: IMPLICIT FUNCTIONS
 Chapter 3.9: HYPERBOLIC FUNCTIONS
 Chapter 4: USING THE DERIVATIVE
 Chapter 4.1: USING FIRST AND SECOND DERIVATIVES
 Chapter 4.2: OPTIMIZATION
 Chapter 4.3: OPTIMIZATION AND MODELING
 Chapter 4.4: FAMILIES OF FUNCTIONS AND MODELING
 Chapter 4.5: APPLICATIONS TO MARGINALITY
 Chapter 4.6: RATES AND RELATED RATES
 Chapter 4.7: LHOPITALS RULE, GROWTH, AND DOMINANCE
 Chapter 4.8: PARAMETRIC EQUATIONS
 Chapter 5: KEY CONCEPT: THE DEFINITE INTEGRAL
 Chapter 5.1: HOW DO WE MEASURE DISTANCE TRAVELED?
 Chapter 5.2: THE DEFINITE INTEGRAL
 Chapter 5.3: THE FUNDAMENTAL THEOREM AND INTERPRETATIONS
 Chapter 5.4: THEOREMS ABOUT DEFINITE INTEGRALS 2
 Chapter 6: CONSTRUCTING ANTIDERIVATIVES
 Chapter 6.1: ANTIDERIVATIVES GRAPHICALLY AND NUMERICALLY
 Chapter 6.2: CONSTRUCTING ANTIDERIVATIVES ANALYTICALLY
 Chapter 6.3: DIFFERENTIAL EQUATIONS AND MOTION
 Chapter 6.4: SECOND FUNDAMENTAL THEOREM OF CALCULUS
 Chapter 7: INTEGRATION
 Chapter 7.1: INTEGRATION BY SUBSTITUTION
 Chapter 7.2: INTEGRATION BY PARTS
 Chapter 7.3: TABLES OF INTEGRALS
 Chapter 7.4: ALGEBRAIC IDENTITIES AND TRIGONOMETRIC SUBSTITUTIONS
 Chapter 7.5: NUMERICAL METHODS FOR DEFINITE INTEGRALS
 Chapter 7.6: IMPROPER INTEGRALS
 Chapter 7.7: COMPARISON OF IMPROPER INTEGRALS
 Chapter 8: USING THE DEFINITE INTEGRAL
 Chapter 8.1: AREAS AND VOLUMES
 Chapter 8.2: APPLICATIONS TO GEOMETRY
 Chapter 8.3: AREA AND ARC LENGTH IN POLAR COORDINATES
 Chapter 8.4: DENSITY AND CENTER OF MASS
 Chapter 8.5: APPLICATIONS TO PHYSICS
 Chapter 8.6: APPLICATIONS TO ECONOMICS
 Chapter 8.7: DISTRIBUTION FUNCTIONS
 Chapter 8.8: PROBABILITY, MEAN, AND MEDIAN
 Chapter 9: SEQUENCES AND SERIES
 Chapter 9.1: SEQUENCES
 Chapter 9.2: GEOMETRIC SERIES
 Chapter 9.3: CONVERGENCE OF SERIES
 Chapter 9.4: TESTS FOR CONVERGENCE
 Chapter 9.5: POWER SERIES AND INTERVAL OF CONVERGENCE
Calculus: Single Variable 6th Edition  Solutions by Chapter
Full solutions for Calculus: Single Variable  6th Edition
ISBN: 9780470888643
Calculus: Single Variable  6th Edition  Solutions by Chapter
Get Full SolutionsThe full stepbystep solution to problem in Calculus: Single Variable were answered by , our top Calculus solution expert on 03/05/18, 08:35PM. This expansive textbook survival guide covers the following chapters: 85. Calculus: Single Variable was written by and is associated to the ISBN: 9780470888643. This textbook survival guide was created for the textbook: Calculus: Single Variable , edition: 6. Since problems from 85 chapters in Calculus: Single Variable have been answered, more than 51894 students have viewed full stepbystep answer.

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

Conditional probability
The probability of an event A given that an event B has already occurred

Distributive property
a(b + c) = ab + ac and related properties

Equal matrices
Matrices that have the same order and equal corresponding elements.

Exponential growth function
Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

Finite sequence
A function whose domain is the first n positive integers for some fixed integer n.

Halfangle identity
Identity involving a trigonometric function of u/2.

Halfplane
The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

Horizontal asymptote
The line is a horizontal asymptote of the graph of a function ƒ if lim x: q ƒ(x) = or lim x: q ƒ(x) = b

Hypotenuse
Side opposite the right angle in a right triangle.

Inequality symbol or
<,>,<,>.

Length of a vector
See Magnitude of a vector.

Mathematical model
A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

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

Power function
A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

Right angle
A 90° angle.

Row operations
See Elementary row operations.

Secant
The function y = sec x.

Sphere
A set of points in Cartesian space equally distant from a fixed point called the center.

Sum of a finite geometric series
Sn = a111  r n 2 1  r