- 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; Second-Degree Equations
- Chapter 10.6: Conic Sections in Polar Coordinates
- Chapter 11: Three-dimensional space; Vectors
- Chapter 11.1: Rectangular Coordinates in 3-Space; 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 3-Space
- Chapter 11.7: Quadric Surfaces
- Chapter 11.8: Cylindrical and Spherical Coordinates
- Chapter 12: Vector-valued Functions
- Chapter 12.1: Introduction to Vector-Valued Functions
- Chapter 12.2: Calculus of Vector-Valued 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: Kepler’s 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
- 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: Green’s 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: L’Hôpital’s 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 Minimum Problems
- Chapter 4.6: Rectilinear Motion
- Chapter 4.7: Newton’s Method
- Chapter 4.8: Rolle’s Theorem; Mean-Value 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: Fluid Pressure and Force
- 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; Simpson’s 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; Euler’s Method
- Chapter 8.4: First-Order Differential Equations and Applications
- Chapter 9: Infinite Series
- Chapter 9.1: Sequences
- Chapter 9.10: Sequences
- 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
The full step-by-step solution to problem in Calculus: Early Transcendentals, were answered by , our top Calculus solution expert on 03/02/18, 04:47PM. Calculus: Early Transcendentals, was written by 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 208718 students have viewed full step-by-step answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10.
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Central angle
An angle whose vertex is the center of a circle
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Chord of a conic
A line segment with endpoints on the conic
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Constant
A letter or symbol that stands for a specific number,
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Difference of complex numbers
(a + bi) - (c + di) = (a - c) + (b - d)i
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Difference of functions
(ƒ - g)(x) = ƒ(x) - g(x)
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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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equation of a parabola
(x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)
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Equivalent systems of equations
Systems of equations that have the same solution.
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Implicitly defined function
A function that is a subset of a relation defined by an equation in x and y.
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NDER ƒ(a)
See Numerical derivative of ƒ at x = a.
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Number line graph of a linear inequality
The graph of the solutions of a linear inequality (in x) on a number line
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Odd function
A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).
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One-to-one rule of logarithms
x = y if and only if logb x = logb y.
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Permutation
An arrangement of elements of a set, in which order is important.
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Rigid transformation
A transformation that leaves the basic shape of a graph unchanged.
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Row operations
See Elementary row operations.
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Terminal point
See Arrow.
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Trigonometric form of a complex number
r(cos ? + i sin ?)
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Variation
See Power function.
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Vertical stretch or shrink
See Stretch, Shrink.