 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
Get Full SolutionsThe full stepbystep solution to problem in Calculus: Early Transcendentals were answered by Patricia, our top Calculus solution expert on 03/05/18, 08:22PM. Since problems from 132 chapters in Calculus: Early Transcendentals have been answered, more than 12038 students have viewed full stepbystep answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. This expansive textbook survival guide covers the following chapters: 132. Calculus: Early Transcendentals was written by Patricia and is associated to the ISBN: 9781464114885.

Angle of elevation
The acute angle formed by the line of sight (upward) and the horizontal

Argument of a complex number
The argument of a + bi is the direction angle of the vector {a,b}.

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

Decreasing on an interval
A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

Double inequality
A statement that describes a bounded interval, such as 3 ? x < 5

equation of a hyperbola
(x  h)2 a2  (y  k)2 b2 = 1 or (y  k)2 a2  (x  h)2 b2 = 1

Heron’s formula
The area of ¢ABC with semiperimeter s is given by 2s1s  a21s  b21s  c2.

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

Lemniscate
A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

Multiplicative inverse of a matrix
See Inverse of a matrix

Negative linear correlation
See Linear correlation.

PH
The measure of acidity

Position vector of the point (a, b)
The vector <a,b>.

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.

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

Reflection across the yaxis
x, y and (x,y) are reflections of each other across the yaxis.

Root of an equation
A solution.

Solution set of an inequality
The set of all solutions of an inequality

Sphere
A set of points in Cartesian space equally distant from a fixed point called the center.

Vertical line test
A test for determining whether a graph is a function.
I don't want to reset my password
Need help? Contact support
Having trouble accessing your account? Let us help you, contact support at +1(510) 9441054 or support@studysoup.com
Forgot password? Reset it here