 Chapter 1: PRECALCULUS REVIEW
 Chapter 1.1: Real Numbers, Functions, and Graphs
 Chapter 1.2: Linear and Quadratic Functions
 Chapter 1.3: The Basic Classes of Functions
 Chapter 1.4: Trigonometric Functions
 Chapter 1.5: Inverse Functions
 Chapter 1.6: Exponential and Logarithmic Functions
 Chapter 1.7: Technology: Calculators and Computers
 Chapter 10: INFINITE SERIES
 Chapter 10.1: Sequences
 Chapter 10.2: Summing an Infinite Series
 Chapter 10.3: Convergence of Series with Positive Terms
 Chapter 10.4: Absolute and Conditional Convergence
 Chapter 10.5: The Ratio and Root Tests and Strategies for Choosing Tests
 Chapter 10.6: Power Series
 Chapter 10.7: Taylor Series
 Chapter 11: PARAMETRIC EQUATIONS, POLAR COORDINATES, AND CONIC SECTIONS
 Chapter 11.1: Parametric Equations
 Chapter 11.2: Arc Length and Speed
 Chapter 11.3: Polar Coordinates
 Chapter 11.4: Area and Arc Length in Polar Coordinates
 Chapter 11.5: Conic Sections
 Chapter 12: VECTOR GEOMETRY
 Chapter 12.1: Vectors in the Plane
 Chapter 12.2: Vectors in Three Dimensions
 Chapter 12.3: Dot Product and the Angle Between Two Vectors
 Chapter 12.4: The Cross Product
 Chapter 12.5: Planes in 3Space
 Chapter 12.6: A Survey of Quadric Surfaces
 Chapter 12.7: Cylindrical and Spherical Coordinates
 Chapter 13: CALCULUS OF VECTORVALUED FUNCTIONS
 Chapter 13.1: VectorValued Functions
 Chapter 13.2: Calculus of VectorValued Functions
 Chapter 13.3: Arc Length and Speed
 Chapter 13.4: Curvature
 Chapter 13.5: Motion in 3Space
 Chapter 13.6: Planetary Motion According to Kepler and Newton
 Chapter 14: DIFFERENTIATION IN SEVERAL VARIABLES
 Chapter 14.1: Functions of Two or More Variables
 Chapter 14.2: Limits and Continuity in Several Variables
 Chapter 14.3: Partial Derivatives
 Chapter 14.4: Differentiability and Tangent Planes
 Chapter 14.5: The Gradient and Directional Derivatives
 Chapter 14.6: The Chain Rule
 Chapter 14.7: Optimization in Several Variables
 Chapter 14.8: Optimization in Several Variables
 Chapter 15: MULTIPLE INTEGRATION
 Chapter 15.1: Integration in Two Variables
 Chapter 15.2: Double Integrals over More General Regions
 Chapter 15.3: Triple Integrals
 Chapter 15.4: Integration in Polar, Cylindrical, and Spherical Coordinates
 Chapter 15.5: Applications of Multiple Integrals
 Chapter 15.6: Change of Variables
 Chapter 16: LINE AND SURFACE INTEGRALS
 Chapter 16.1: Vector Fields
 Chapter 16.2: Line Integrals
 Chapter 16.3: Conservative Vector Fields
 Chapter 16.4: Parametrized Surfaces and Surface Integrals
 Chapter 16.5: Surface Integrals of Vector Fields
 Chapter 17: FUNDAMENTAL THEOREMS OF VECTOR ANALYSIS
 Chapter 17.1: Greens Theorem
 Chapter 17.2: Stokes Theorem
 Chapter 17.3: Divergence Theorem
 Chapter 2: LIMITS
 Chapter 2.1: Limits, Rates of Change, and Tangent Lines
 Chapter 2.2: Limits: A Numerical and Graphical Approach
 Chapter 2.3: Basic Limit Laws
 Chapter 2.4: Limits and Continuity
 Chapter 2.5: Evaluating Limits Algebraically
 Chapter 2.6: Trigonometric Limits
 Chapter 2.7: Limits at Infinity
 Chapter 2.8: Intermediate Value Theorem
 Chapter 2.9: The Formal Definition of a Limit
 Chapter 3: DIFFERENTIATION
 Chapter 3.1: Definition of the Derivative
 Chapter 3.10: Related Rates
 Chapter 3.2: The Derivative as a Function
 Chapter 3.3: Product and Quotient Rules
 Chapter 3.4: Rates of Change
 Chapter 3.5: Higher Derivatives
 Chapter 3.6: Trigonometric Functions
 Chapter 3.7: The Chain Rule
 Chapter 3.8: Implicit Differentiation
 Chapter 3.9: Derivatives of General Exponential and Logarithmic Functions
 Chapter 4: APPLICATIONS OF THE DERIVATIVE
 Chapter 4.1: Linear Approximation and Applications
 Chapter 4.2: Extreme Values
 Chapter 4.3: The Mean Value Theorem and Monotonicity
 Chapter 4.4: The Shape of a Graph
 Chapter 4.5: LHopitals Rule
 Chapter 4.6: Graph Sketching and Asymptotes
 Chapter 4.7: Applied Optimization
 Chapter 4.8: Newtons Method
 Chapter 5: THE INTEGRAL
 Chapter 5.1: Approximating and Computing Area
 Chapter 5.2: The Definite Integral
 Chapter 5.3: The Indefinite Integral
 Chapter 5.4: The Fundamental Theorem of Calculus, Part I
 Chapter 5.5: The Fundamental Theorem of Calculus, Part II
 Chapter 5.6: Net Change as the Integral of a Rate of Change
 Chapter 5.7: Substitution Method
 Chapter 5.8: Further Transcendental Functions
 Chapter 5.9: Exponential Growth and Decay
 Chapter 6: APPLICATIONS OF THE INTEGRAL
 Chapter 6.1: Area Between Two Curves
 Chapter 6.2: Setting Up Integrals: Volume, Density, Average Value
 Chapter 6.3: Volumes of Revolution
 Chapter 6.4: The Method of Cylindrical Shells
 Chapter 6.5: Work and Energy
 Chapter 7: TECHNIQUES OF INTEGRATION
 Chapter 7.1: Integration by Parts
 Chapter 7.2: Trigonometric Integrals
 Chapter 7.3: Trigonometric Substitution
 Chapter 7.4: Integrals Involving Hyperbolic and Inverse Hyperbolic Functions
 Chapter 7.5: The Method of Partial Fractions
 Chapter 7.6: Strategies for Integration
 Chapter 7.7: Improper Integrals
 Chapter 7.8: Probability and Integration
 Chapter 7.9: Numerical Integration
 Chapter 8: FURTHER APPLICATIONS OF THE INTEGRAL AND TAYLOR POLYNOMIALS
 Chapter 8.1: Arc Length and Surface Area
 Chapter 8.2: Arc Length and Surface Area
 Chapter 8.3: Center of Mass
 Chapter 8.4: Taylor Polynomials
 Chapter 9: INTRODUCTION TO DIFFERENTIAL EQUATIONS
 Chapter 9.1: Solving Differential Equations
 Chapter 9.2: Models Involving y = k(y b)
 Chapter 9.3: Graphical and Numerical Methods
 Chapter 9.4: The Logistic Equation
 Chapter 9.5: FirstOrder Linear Equations
 Chapter APPENDIX A: THE LANGUAGE OF MATHEMATICS
 Chapter APPENDIX C: INDUCTION AND THE BINOMIAL THEOREM
Calculus: Early Transcendentals 3rd Edition  Solutions by Chapter
Full solutions for Calculus: Early Transcendentals  3rd Edition
ISBN: 9781464114885
Calculus: Early Transcendentals  3rd Edition  Solutions by Chapter
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Arccosecant function
See Inverse cosecant function.

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

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

Compounded k times per year
Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

Doubleblind experiment
A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

Exponent
See nth power of a.

Factor
In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

Identity properties
a + 0 = a, a ? 1 = a

Inverse relation (of the relation R)
A relation that consists of all ordered pairs b, a for which a, b belongs to R.

Irreducible quadratic over the reals
A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

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

LRAM
A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the lefthand endpoint of each subinterval

Outliers
Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

Piecewisedefined function
A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

Pythagorean identities
sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

Reflexive property of equality
a = a

Repeated zeros
Zeros of multiplicity ? 2 (see Multiplicity).

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

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

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.