 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 10.1: 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 11.1: 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 2.1: 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 3.1: 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 4.1: 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 5.1: 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 6.1: 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 7.1: 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 8.1: 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 9.1: 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
 Chapter Chapter 1: A LIBRARY OF FUNCTIONS
 Chapter Chapter 10: APPROXIMATING FUNCTIONS USING SERIES
 Chapter Chapter 11: DIFFERENTIAL EQUATIONS
 Chapter Chapter 2: KEY CONCEPT: THE DERIVATIVE
 Chapter Chapter 3: SHORTCUTS TO DIFFERENTIATION
 Chapter Chapter 4: USING THE DERIVATIVE
 Chapter Chapter 5: KEY CONCEPT: THE DEFINITE INTEGRAL
 Chapter Chapter 6: CONSTRUCTING ANTIDERIVATIVES
 Chapter Chapter 7: INTEGRATION
 Chapter Chapter 8: USING THE DEFINITE INTEGRAL
 Chapter Chapter 9: SEQUENCES AND SERIES
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 Patricia, 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 Patricia 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 13653 students have viewed full stepbystep answer.

Cone
See Right circular cone.

Conic section (or conic)
A curve obtained by intersecting a doublenapped right circular cone with a plane

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

Distance (in Cartesian space)
The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x )  x 2)2 + (y1  y2)2 + (z 1  z 2)2

Expanded form of a series
A series written explicitly as a sum of terms (not in summation notation).

Implied domain
The domain of a function’s algebraic expression.

Independent variable
Variable representing the domain value of a function (usually x).

Intercept
Point where a curve crosses the x, y, or zaxis in a graph.

Linear function
A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

Multiplication principle of probability
If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(AB) # P(B)

nth root
See Principal nth root

Parametrization
A set of parametric equations for a curve.

PH
The measure of acidity

Plane in Cartesian space
The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

Pseudorandom numbers
Computergenerated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

Real part of a complex number
See Complex number.

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

Slope
Ratio change in y/change in x

Solve algebraically
Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

xcoordinate
The directed distance from the yaxis yzplane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.