 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 8632 students have viewed full stepbystep answer.

Arccosine function
See Inverse cosine function.

Arcsine function
See Inverse sine function.

Associative properties
a + (b + c) = (a + b) + c, a(bc) = (ab)c.

Bounded
A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

Commutative properties
a + b = b + a ab = ba

Confounding variable
A third variable that affects either of two variables being studied, making inferences about causation unreliable

Convergence of a series
A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

Coordinate plane
See Cartesian coordinate system.

Discriminant
For the equation ax 2 + bx + c, the expression b2  4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2  4AC

Gaussian curve
See Normal curve.

Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.

Inductive step
See Mathematical induction.

Polar coordinates
The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

Relation
A set of ordered pairs of real numbers.

Remainder polynomial
See Division algorithm for polynomials.

Richter scale
A logarithmic scale used in measuring the intensity of an earthquake.

Sum of a finite arithmetic series
Sn = na a1 + a2 2 b = n 2 32a1 + 1n  12d4,

Trichotomy property
For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

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

Upper bound for real zeros
A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.
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