 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
Get Full SolutionsThe full stepbystep solution to problem in Calculus: Early Transcendentals, were answered by Patricia, our top Calculus solution expert on 03/02/18, 04:47PM. Calculus: Early Transcendentals, was written by Patricia and is associated to the ISBN: 9780470647691. This expansive textbook survival guide covers the following chapters: 133. Since problems from 133 chapters in Calculus: Early Transcendentals, have been answered, more than 11391 students have viewed full stepbystep answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10.

Angular speed
Speed of rotation, typically measured in radians or revolutions per unit time

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

Difference of two vectors
<u1, u2>  <v1, v2> = <u1  v1, u2  v2> or <u1, u2, u3>  <v1, v2, v3> = <u1  v1, u2  v2, u3  v3>

Directed distance
See Polar coordinates.

Equivalent vectors
Vectors with the same magnitude and direction.

Grapher or graphing utility
Graphing calculator or a computer with graphing software.

Instantaneous velocity
The instantaneous rate of change of a position function with respect to time, p. 737.

Inverse of a matrix
The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

Irrational zeros
Zeros of a function that are irrational numbers.

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

Matrix element
Any of the real numbers in a matrix

Nonsingular matrix
A square matrix with nonzero determinant

Octants
The eight regions of space determined by the coordinate planes.

Outcomes
The various possible results of an experiment.

Quotient of functions
a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

Square matrix
A matrix whose number of rows equals the number of columns.

Standard form of a polynomial function
ƒ(x) = an x n + an1x n1 + Á + a1x + a0

Upper bound test for real zeros
A test for finding an upper bound for the real zeros of a polynomial.

Vertex of a parabola
The point of intersection of a parabola and its line of symmetry.

Yscl
The scale of the tick marks on the yaxis in a viewing window.
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