- 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 3-Space
- Chapter 12.6: A Survey of Quadric Surfaces
- Chapter 12.7: Cylindrical and Spherical Coordinates
- Chapter 13: CALCULUS OF VECTOR-VALUED FUNCTIONS
- Chapter 13.1: Vector-Valued Functions
- Chapter 13.2: Calculus of Vector-Valued Functions
- Chapter 13.3: Arc Length and Speed
- Chapter 13.4: Curvature
- Chapter 13.5: Motion in 3-Space
- 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: First-Order 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
Solutions by Chapter
The full step-by-step solution to problem in Calculus: Early Transcendentals were answered by , 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 36914 students have viewed full step-by-step 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 and is associated to the ISBN: 9781464114885.
Key Calculus Terms and definitions covered in this textbook
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Additive inverse of a complex number
The opposite of a + bi, or -a - bi
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Arccosine function
See Inverse cosine function.
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Arctangent function
See Inverse tangent function.
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Constant term
See Polynomial function
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Direction vector for a line
A vector in the direction of a line in three-dimensional space
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Exponent
See nth power of a.
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Gaussian elimination
A method of solving a system of n linear equations in n unknowns.
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Hyperbola
A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.
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Imaginary part of a complex number
See Complex number.
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kth term of a sequence
The kth expression in the sequence
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Natural logarithmic function
The inverse of the exponential function y = ex, denoted by y = ln x.
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Pascal’s triangle
A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.
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Real axis
See Complex plane.
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Reflexive property of equality
a = a
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Replication
The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.
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Sphere
A set of points in Cartesian space equally distant from a fixed point called the center.
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Standard form of a polar equation of a conic
r = ke 1 e cos ? or r = ke 1 e sin ? ,
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Statistic
A number that measures a quantitative variable for a sample from a population.
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Whole numbers
The numbers 0, 1, 2, 3, ... .
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Yscl
The scale of the tick marks on the y-axis in a viewing window.