- 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: Predator-Prey 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: Three-Dimensional 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
Solutions by Chapter
Calculus: Early Transcendentals was written by Aimee Notetaker and is associated to the ISBN: 9781337613927. The full step-by-step 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 step-by-step 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.
Key Calculus Terms and definitions covered in this textbook
-
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 double-napped 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 x-coordinates (horizontal stretch) by the constant 1/c, or all of the y-coordinates (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.