 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: KEPLERS 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 1
 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: GREENS 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: LHPITALS 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 MIMIMUM PROBLEMS
 Chapter 4.6: RECTILINEAR MOTION
 Chapter 4.7: NEWTONS METHOD
 Chapter 4.8: ROLLES 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: MOMENTS, CENTERS OF GRAVITY, AND CENTROIDS
 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; SIMPSONS 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; EULERS METHOD
 Chapter 8.4: FIRSTORDER DIFFERENTIAL EQUATIONS AND APPLICATIONS
 Chapter 9: INFINITE SERIES
 Chapter 9.1: SEQUENCES
 Chapter 9.10: DIFFERENTIATING AND INTEGRATING POWER SERIES; MODELING WITH TAYLOR SERIES
 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
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Annual percentage rate (APR)
The annual interest rate

Arccosecant function
See Inverse cosecant function.

Census
An observational study that gathers data from an entire population

Circular functions
Trigonometric functions when applied to real numbers are circular functions

Coefficient
The real number multiplied by the variable(s) in a polynomial term

Combination
An arrangement of elements of a set, in which order is not important

Coordinate plane
See Cartesian coordinate system.

Descriptive statistics
The gathering and processing of numerical information

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

Hyperboloid of revolution
A surface generated by rotating a hyperbola about its transverse axis, p. 607.

Integrable over [a, b] Lba
ƒ1x2 dx exists.

Lefthand limit of f at x a
The limit of ƒ as x approaches a from the left.

Negative numbers
Real numbers shown to the left of the origin on a number line.

Radicand
See Radical.

Reference angle
See Reference triangle

Resistant measure
A statistical measure that does not change much in response to outliers.

Second quartile
See Quartile.

Slopeintercept form (of a line)
y = mx + b

Solve graphically
Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

zcoordinate
The directed distance from the xyplane to a point in space, or the third number in an ordered triple.