 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 , 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 29678 students have viewed full stepbystep answer.

Convenience sample
A sample that sacrifices randomness for convenience

Demand curve
p = g(x), where x represents demand and p represents price

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

Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic

Division algorithm for polynomials
Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

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

Frequency
Reciprocal of the period of a sinusoid.

Geometric series
A series whose terms form a geometric sequence.

Halflife
The amount of time required for half of a radioactive substance to decay.

Identity
An equation that is always true throughout its domain.

Linear correlation
A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

Logarithmic function with base b
The inverse of the exponential function y = bx, denoted by y = logb x

Onetoone function
A function in which each element of the range corresponds to exactly one element in the domain

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.

Product of a scalar and a vector
The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

Product rule of logarithms
ogb 1RS2 = logb R + logb S, R > 0, S > 0,

Quadrantal angle
An angle in standard position whose terminal side lies on an axis.

Reflexive property of equality
a = a

Vector equation for a line in space
The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

Xmax
The xvalue of the right side of the viewing window,.