- Chapter 1: Functions and Models
- Chapter 1.1: Four Ways to Represent a Function
- Chapter 1.2: Mathematical Models: A Catalog of Essential Functions
- Chapter 1.3: New Functions from Old Functions
- Chapter 1.4: Exponential Functions
- Chapter 1.5: Inverse Functions and Logarithms
- Chapter 10: Parametric Equations and Polar Coordinates
- Chapter 10.1: Curves Defined by Parametric Equations
- Chapter 10.2: Calculus with Parametric Curves
- Chapter 10.3: Polar Coordinates
- Chapter 10.4: Areas and Lengths in Polar Coordinates
- Chapter 10.5: Conic Sections
- Chapter 10.6: Conic Sections in Polar Coordinates
- Chapter 11: Infinite Sequences and Series
- Chapter 11.1: Sequences
- Chapter 11.10: Taylor and Maclaurin Series
- Chapter 11.11: Applications of Taylor Polynomials
- Chapter 11.2: Series
- Chapter 11.3: The Integral Test and Estimates of Sums
- Chapter 11.4: The Comparison Tests
- Chapter 11.5: Alternating Series
- Chapter 11.6: Absolute Convergence and the Ratio and Root Tests
- Chapter 11.7: Strategy for Testing Series
- Chapter 11.8: Power Series
- Chapter 11.9: Representations of Functions as Power Series
- Chapter 2: Limits and Derivatives
- Chapter 2.1: The Tangent and Velocity Problems
- Chapter 2.2: The Limit of a Function
- Chapter 2.3: Calculating Limits Using the Limit Laws
- Chapter 2.4: The Precise Definition of a Limit
- Chapter 2.5: Continuity
- Chapter 2.6: Limits at Infinity; Horizontal Asymptotes
- Chapter 2.7: Derivatives and Rates of Change
- Chapter 2.8: The Derivative as a Function
- Chapter 3: Differentiation Rules
- Chapter 3.1: Derivatives of Polynomials and Exponential Functions
- Chapter 3.11: Hyperbolic Functions
- Chapter 3.2: The Product and Quotient Rules
- Chapter 3.3: Derivatives of Trigonometric Functions
- Chapter 3.4: The Chain Rule
- Chapter 3.5: Implicit Differentiation
- Chapter 3.6: Derivatives of Logarithmic Functions
- Chapter 3.7: Rates of Change in the Natural and Social Sciences
- Chapter 3.8: Exponential Growth and Decay
- Chapter 3.9: Related Rates
- Chapter 4: Applications of Differentiation
- Chapter 4.1: Maximum and Minimum Values
- Chapter 4.2: The Mean Value Theorem
- Chapter 4.3: How Derivatives Affect the Shape of a Graph
- Chapter 4.4: Indeterminate Forms and lHospitals Rule
- Chapter 4.5: Summary of Curve Sketching
- Chapter 4.6: Graphing with Calculus and Calculators
- Chapter 4.7: Optimization Problems
- Chapter 4.8: Newtons Method
- Chapter 4.9: Antiderivatives
- Chapter 5: Integrals
- Chapter 5.1: Areas and Distances
- Chapter 5.2: The Definite Integral
- Chapter 5.3: The Fundamental Theorem of Calculus
- Chapter 5.4: Indefinite Integrals and the Net Change Theorem
- Chapter 5.5: The Substitution Rule
- Chapter 6: Applications of Integration
- Chapter 6.1: Areas Between Curves
- Chapter 6.2: Volumes
- Chapter 6.3: Volumes by Cylindrical Shells
- Chapter 6.4: Work
- Chapter 6.5: Average Value of a Function
- Chapter 7: Techniques of Integration
- Chapter 7.1: Integration by Parts
- Chapter 7.2: Trigonometric Integrals
- Chapter 7.3: Trigonometric Substitution
- Chapter 7.4: Integration of Rational Functions by Partial Fractions
- Chapter 7.5: Strategy for Integration
- Chapter 7.6: Integration Using Tables and Computer Algebra Systems
- Chapter 7.7: Approximate Integration
- Chapter 7.8: Improper Integrals
- Chapter 8: Further Applications of Integration
- Chapter 8.1: Arc Length
- Chapter 8.2: Area of a Surface of Revolution
- Chapter 8.3: Applications to Physics and Engineering
- Chapter 8.4: Applications to Economics and Biology
- Chapter 8.5: Probability
- Chapter 9: Predator-Prey Systems
- Chapter 9.1: Modeling with Differential Equations
- Chapter 9.2: Direction Fields and Eulers Method
- Chapter 9.3: Separable Equations
- Chapter 9.4: Models for Population Growth
- Chapter 9.5: Linear Equations
- Chapter Appendix A: Numbers, Inequalities, and Absolute Values
- Chapter Appendix B: Coordinate Geometry and Lines
- Chapter Appendix C: Graphs of Second-Degree Equatio
- Chapter Appendix D: Trigonometry
- Chapter Appendix E: Sigma Notation
- Chapter Appendix G: The Logarithm Defined as an Integral
- Chapter Appendix H: Complex Numbers
Single Variable Calculus: Early Transcendentals 8th Edition - Solutions by Chapter
Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition
ISBN: 9781305270336
Single Variable Calculus: Early Transcendentals | 8th Edition - Solutions by Chapter
Get Full SolutionsThis expansive textbook survival guide covers the following chapters: 95. Since problems from 95 chapters in Single Variable Calculus: Early Transcendentals have been answered, more than 135728 students have viewed full step-by-step answer. The full step-by-step solution to problem in Single Variable Calculus: Early Transcendentals were answered by , our top Calculus solution expert on 03/19/18, 03:29PM. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8.
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Boxplot (or box-and-whisker plot)
A graph that displays a five-number summary
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Component form of a vector
If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)
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Derivative of ƒ at x a
ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists
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Directed line segment
See Arrow.
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Divergence
A sequence or series diverges if it does not converge
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Ellipsoid of revolution
A surface generated by rotating an ellipse about its major axis
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Equal complex numbers
Complex numbers whose real parts are equal and whose imaginary parts are equal.
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Expanded form of a series
A series written explicitly as a sum of terms (not in summation notation).
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Leading term
See Polynomial function in x.
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Midpoint (on a number line)
For the line segment with endpoints a and b, a + b2
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Parametric equations
Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.
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Probability simulation
A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.
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Projectile motion
The movement of an object that is subject only to the force of gravity
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Rational function
Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.
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Reflection across the y-axis
x, y and (-x,y) are reflections of each other across the y-axis.
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Root of an equation
A solution.
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Solution set of an inequality
The set of all solutions of an inequality
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Sum of a finite geometric series
Sn = a111 - r n 2 1 - r
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Summation notation
The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series
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Zero factor property
If ab = 0 , then either a = 0 or b = 0.