 Chapter 1: Surface Area
 Chapter 1.1: Functions and Models
 Chapter 1.2: Four Ways to Represent a Function
 Chapter 1.3: Mathematical Models: A Catalog of Essential Functions
 Chapter 1.4: New Functions from Old Functions
 Chapter 1.5: Exponential Functions
 Chapter 10: The Fundamental Theorem for Line Integrals
 Chapter 10.1: Applications to Economics and Biology
 Chapter 10.2: Probability
 Chapter 10.3: Differential Equations
 Chapter 10.4: Modeling with Differential Equations
 Chapter 10.5: Direction Fields and Euler’s Method
 Chapter 10.6: Separable Equations
 Chapter 11: Green’s Theorem
 Chapter 11.1: Models for Population Growth
 Chapter 11.10: Conic Sections in Polar Coordinates
 Chapter 11.11: Sequences, Series, and Power Series
 Chapter 11.2: Linear Equations
 Chapter 11.3: PredatorPrey Systems
 Chapter 11.4: Parametric Equations and Polar Coordinates
 Chapter 11.5: Curves Defined by Parametric Equations
 Chapter 11.6: Calculus with Parametric Curves
 Chapter 11.7: Polar Coordinates
 Chapter 11.8: Calculus in Polar Coordinates
 Chapter 11.9: Conic Sections
 Chapter 12: Curl and Divergence
 Chapter 12.1: Sequences
 Chapter 12.2: Sequences
 Chapter 12.3: Applications of Taylor Polynomials
 Chapter 12.4: Series
 Chapter 12.5: The Integral Test and Estimates of Sums
 Chapter 12.6: The Comparison Tests
 Chapter 13: Parametric Surfaces and Their Areas
 Chapter 13.1: Alternating Series and Absolute Convergence
 Chapter 13.2: The Ratio and Root Tests
 Chapter 13.3: Strategy for Testing Series
 Chapter 13.4: Power Series
 Chapter 14: Surface Integrals
 Chapter 14.1: Representations of Functions as Power Series
 Chapter 14.2: Vectors and the Geometry of Space
 Chapter 14.3: ThreeDimensional Coordinate Systems
 Chapter 14.4: Vectors
 Chapter 14.5: The Dot Product
 Chapter 14.6: The Cross Product
 Chapter 14.7: Equations of Lines and Planes
 Chapter 14.8: Cylinders and Quadric Surfaces
 Chapter 15: Stokes’ Theorem
 Chapter 15.1: Vector Functions
 Chapter 15.2: Vector Functions and Space Curves
 Chapter 15.3: Derivatives and Integrals of Vector Functions
 Chapter 15.4: Arc Length and Curvature
 Chapter 15.5: Motion in Space: Velocity and Acceleration
 Chapter 15.6: Partial Derivatives
 Chapter 15.7: Functions of Several Variables
 Chapter 15.8: Limits and Continuity
 Chapter 15.9: Partial Derivatives
 Chapter 16: The Divergence Theorem
 Chapter 16.1: Tangent Planes and Linear Approximations
 Chapter 16.10: Applications of Double Integrals
 Chapter 16.2: The Chain Rule
 Chapter 16.3: Directional Derivatives and the Gradient Vector
 Chapter 16.4: Maximum and Minimum Values
 Chapter 16.5: Lagrange Multipliers
 Chapter 16.6: Multiple Integrals
 Chapter 16.7: Double Integrals over Rectangles
 Chapter 16.8: Double Integrals over General Regions
 Chapter 16.9: Double Integrals in Polar Coordinates
 Chapter 2: Triple Integrals
 Chapter 2.1: Inverse Functions and Logarithms
 Chapter 2.2: Limits and Derivatives
 Chapter 2.3: The Tangent and Velocity Problems
 Chapter 2.4: The Limit of a Function
 Chapter 2.5: Calculating Limits Using the Limit Laws
 Chapter 2.6: The Precise Definition of a Limit
 Chapter 2.7: Continuity
 Chapter 2.8: Limits at Infinity; Horizontal Asymptotes
 Chapter 3: Triple Integrals in Cylindrical Coordinates
 Chapter 3.1: Derivatives and Rates of Change
 Chapter 3.10: Implicit Differentiation
 Chapter 3.11: Derivatives of Logarithmic and Inverse Trigonometric Functions
 Chapter 3.2: The Derivative as a Function
 Chapter 3.3: Differentiation Rules
 Chapter 3.4: Derivatives of Polynomials and Exponential Functions
 Chapter 3.5: Derivatives of Polynomials and Exponential Functions
 Chapter 3.6: Hyperbolic Functions
 Chapter 3.7: The Product and Quotient Rules
 Chapter 3.8: Derivatives of Trigonometric Functions
 Chapter 3.9: The Chain Rule
 Chapter 4: Triple Integrals in Spherical Coordinates
 Chapter 4.1: Rates of Change in the Natural and Social Sciences
 Chapter 4.2: Exponential Growth and Decay
 Chapter 4.3: Related Rates
 Chapter 4.4: Applications of Differentiation
 Chapter 4.5: Maximum and Minimum Values
 Chapter 4.6: The Mean Value Theorem
 Chapter 4.7: What Derivatives Tell Us about the Shape of a Graph
 Chapter 4.8: Indeterminate Forms and l’Hospital’s Rule
 Chapter 4.9: Summary of Curve Sketching
 Chapter 5: Change of Variables in Multiple Integrals
 Chapter 5.1: Graphing with Calculus and Technology
 Chapter 5.2: Optimization Problems
 Chapter 5.3: Newton’s Method
 Chapter 5.4: Antiderivatives
 Chapter 5.5: Integrals
 Chapter 6: Vector Calculus
 Chapter 6.1: The Area and Distance Problems
 Chapter 6.2: The Definite Integral
 Chapter 6.3: The Fundamental Theorem of Calculus
 Chapter 6.4: Indefinite Integrals and the Net Change Theorem
 Chapter 6.5: The Substitution Rule
 Chapter 7: Vector Fields
 Chapter 7.1: Applications of Integration
 Chapter 7.2: Areas Between Curves
 Chapter 7.3: Volumes
 Chapter 7.4: Volumes by Cylindrical Shells
 Chapter 7.5: Work
 Chapter 7.6: Average Value of a Function
 Chapter 7.7: Techniques of Integration
 Chapter 7.8: Integration by Parts
 Chapter 8: Vector Fields
 Chapter 8.1: Trigonometric Integrals
 Chapter 8.2: Trigonometric Substitution
 Chapter 8.3: Integration of Rational Functions by Partial Fractions
 Chapter 8.4: Strategy for Integration
 Chapter 8.5: Integration Using Tables and Technology
 Chapter 9: Line Integrals
 Chapter 9.1: Approximate Integration
 Chapter 9.2: Improper Integrals
 Chapter 9.3: Further Applications of Integration
 Chapter 9.4: Arc Length
 Chapter 9.5: Area of a Surface of Revolution
 Chapter 9.6: Applications to Physics and Engineering
Calculus: Early Transcendentals 9th Edition  Solutions by Chapter
Full solutions for Calculus: Early Transcendentals  9th Edition
ISBN: 9781337613927
Calculus: Early Transcendentals  9th Edition  Solutions by Chapter
Get Full SolutionsCalculus: Early Transcendentals was written by Aimee Notetaker and is associated to the ISBN: 9781337613927. The full stepbystep solution to problem in Calculus: Early Transcendentals were answered by Aimee Notetaker, our top Calculus solution expert on 08/05/21, 04:08PM. Since problems from 132 chapters in Calculus: Early Transcendentals have been answered, more than 166582 students have viewed full stepbystep answer. This expansive textbook survival guide covers the following chapters: 132. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 9.

Algebraic model
An equation that relates variable quantities associated with phenomena being studied

Circle graph
A circular graphical display of categorical data

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

Common logarithm
A logarithm with base 10.

Conic section (or conic)
A curve obtained by intersecting a doublenapped right circular cone with a plane

End behavior asymptote of a rational function
A polynomial that the function approaches as.

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.

Implicitly defined function
A function that is a subset of a relation defined by an equation in x and y.

Limaçon
A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

Line graph
A graph of data in which consecutive data points are connected by line segments

Linear correlation
A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

Open interval
An interval that does not include its endpoints.

PH
The measure of acidity

Plane in Cartesian space
The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

Polar axis
See Polar coordinate system.

Power regression
A procedure for fitting a curve y = a . x b to a set of data.

Quotient rule of logarithms
logb a R S b = logb R  logb S, R > 0, S > 0

Solve by substitution
Method for solving systems of linear equations.

Stretch of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal stretch) by the constant 1/c, or all of the ycoordinates (vertical stretch) of the points by a constant c, c, > 1.

Window dimensions
The restrictions on x and y that specify a viewing window. See Viewing window.