- Chapter 11: Vectors and the Geometry of Space
- Chapter 13: Functions of Several Variables
- Chapter 14: Multiple Integration
- Chapter 3: Differentiation
- Chapter 4: Applications of Differentiaiton
- Chapter 1: Preparation for Calculus
- Chapter 1.1: Graphs and Models
- Chapter 1.2: Linear Models and Rates of Change
- Chapter 1.3: Functions and Their Graphs
- Chapter 1.4: Fitting Models to Data
- Chapter 1.5: Inverse Functions
- Chapter 1.6: Exponential and Logarithmic Functions
- Chapter 10: Conics, Parametric Equations, and Polar Coordinates
- Chapter 10.1: Conics and Calculus
- Chapter 10.2: Plane Curves and Parametric Equations
- Chapter 10.3: Parametric Equations and Calculus
- Chapter 10.4: Polar Coordinates and Polar Graphs
- Chapter 10.5: Area and Arc Length in Polar Coordinates
- Chapter 10.6: Polar Equations of Conics and Keplers Laws
- Chapter 11.1: Vectors in the Plane
- Chapter 11.2: Space Coordinates and Vectors in Space
- Chapter 11.3: The Dot Product of Two Vectors
- Chapter 11.4: The Cross Product of Two Vectors in Space
- Chapter 11.5: Lines and Planes in Space
- Chapter 11.6: Surfaces in Space
- Chapter 11.7: Cylindrical and Spherical Coordinates
- Chapter 12.1: Vector-Valued Functions
- Chapter 12.2: Differentiation and Integration of Vector-Valued Functions
- Chapter 12.3: Velocity and Acceleration
- Chapter 12.4: Tangent Vectors and Normal Vectors
- Chapter 12.5: Arc Length and Curvature
- Chapter 13.1: Introduction to Functions of Several Variables
- Chapter 13.10: Lagrange Multipliers
- Chapter 13.2: Limits and Continuity
- Chapter 13.3: Partial Derivatives
- Chapter 13.4: Differentials
- Chapter 13.5: Chain Rules for Functions of Several Variables
- Chapter 13.6: Directional Derivatives and Gradients
- Chapter 13.7: Tangent Planes and Normal Lines
- Chapter 13.8: Extrema of Functions of Two Variables
- Chapter 13.9: Applications of Extrema of Functions of Two Variables
- Chapter 14.1: Iterated Integrals and Area in the Plane
- Chapter 14.2: Double Integrals and Volume
- Chapter 14.3: Change of Variables: Polar Coordinates
- Chapter 14.4: Center of Mass and Moments of Inertia
- Chapter 14.5: Surface Area
- Chapter 14.6: Triple Integrals and Applications
- Chapter 14.7: Triple Integrals in Cylindrical and Spherical Coordinates
- Chapter 14.8: Change of Variables: Jacobians
- Chapter 15: Vector Analysis
- Chapter 15.1: Vector Fields
- Chapter 15.2: Line Integrals
- Chapter 15.3: Conservative Vector Fields and Independence of Path
- Chapter 15.4: Greens Theorem
- Chapter 15.5: Parametric Surfaces
- Chapter 15.6: Surface Integrals
- Chapter 15.7: Divergence Theorem
- Chapter 15.8: Stokess Theorem
- Chapter 2: Limits and Their Properties
- Chapter 2.1: A Preview of Calculus
- Chapter 2.2: Finding Limits Graphically and Numerically
- Chapter 2.3: Evaluating Limits Analytically
- Chapter 2.4: Continuity and One-Sided Limits
- Chapter 2.5: Infinite Limits
- Chapter 3.1: The Derivative and the Tangent Line Problem
- Chapter 3.2: Basic Differentiation Rules and Rates of Change
- Chapter 3.3: Product and Quotient Rules and Higher-Order Derivatives
- Chapter 3.4: The Chain Rule
- Chapter 3.5: Implicit Differentiation
- Chapter 3.6: Derivatives of Inverse Functions
- Chapter 3.7: Related Rates
- Chapter 3.8: Newtons Method
- Chapter 4.1: Extrema on an Interval
- Chapter 4.2: Rolles Theorem and the Mean Value Theorem
- Chapter 4.3: Increasing and Decreasing Functions and the First Derivative Test
- Chapter 4.4: Concavity and the Second Derivative Test
- Chapter 4.5: Limits at Infinity
- Chapter 4.6: A Summary of Curve Sketching
- Chapter 4.7: Optimization Problems
- Chapter 4.8: Differentials
- Chapter 5: Integration
- Chapter 5.1: Antiderivatives and Indefinite Integration
- Chapter 5.2: Area
- Chapter 5.3: Riemann Sums and Definite Integrals
- Chapter 5.4: The Fundamental Theorem of Calculus
- Chapter 5.5: Integration by Substitution
- Chapter 5.6: Numerical Integration
- Chapter 5.7: The Natural Logarithmic Function: Integration
- Chapter 5.8: Inverse Trigonometric Functions: Integration
- Chapter 5.9: Hyperbolic Functions
- Chapter 6: Differential Equations
- Chapter 6.1: Slope Fields and Eulers Method
- Chapter 6.2: Differential Equations: Growth and Decay
- Chapter 6.3: Differential Equations: Separation of Variables
- Chapter 6.4: The Logistic Equation
- Chapter 6.5: First-Order Linear Differential Equations
- Chapter 6.6: Predator-Prey Differential Equations
- Chapter 7: Application of Integration
- Chapter 7.1: Applications of Integration
- Chapter 7.2: Volume: The Disk Method
- Chapter 7.3: Volume: The Shell Method
- Chapter 7.4: Arc Length and Surfaces of Revolution
- Chapter 7.5: Work
- Chapter 7.6: Moments, Centers of Mass, and Centroids
- Chapter 7.7: Fluid Pressure and Fluid Force
- Chapter 8: Integration Techniques, L'Hopital's, and Improper Integrals
- Chapter 8.1: Basic Integration Rules
- Chapter 8.2: Integration by Parts
- Chapter 8.3: Trigonometric Integrals
- Chapter 8.4: Trigonometric Substitution
- Chapter 8.5: Partial Fractions
- Chapter 8.6: Integration by Tables and Other Integration Techniques
- Chapter 8.7: Indeterminate Forms and LHpitals Rule
- Chapter 8.8: Improper Integrals
- Chapter 9: Infinite Series
- Chapter 9.1: Sequences
- Chapter 9.10: Taylor and Maclaurin Series
- Chapter 9.2: Series and Convergence
- Chapter 9.3: The Integral Test and p-Series
- Chapter 9.4: Comparisons of Series
- Chapter 9.5: Alternating Series
- Chapter 9.6: The Ratio and Root Tests
- Chapter 9.7: Taylor Polynomials and Approximations
- Chapter 9.8: Power Series
- Chapter 9.9: Representation of Functions by Power Series
- Chapter Chapte 12: Vector- Valued Functions
Calculus: Early Transcendental Functions 4th Edition - Solutions by Chapter
Full solutions for Calculus: Early Transcendental Functions | 4th Edition
ISBN: 9780618606245
Solutions by Chapter
Since problems from 126 chapters in Calculus: Early Transcendental Functions have been answered, more than 71225 students have viewed full step-by-step answer. This expansive textbook survival guide covers the following chapters: 126. The full step-by-step solution to problem in Calculus: Early Transcendental Functions were answered by , our top Calculus solution expert on 03/02/18, 04:55PM. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4.
Key Calculus Terms and definitions covered in this textbook
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Arcsine function
See Inverse sine function.
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Bar chart
A rectangular graphical display of categorical data.
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Combination
An arrangement of elements of a set, in which order is not important
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Complex plane
A coordinate plane used to represent the complex numbers. The x-axis of the complex plane is called the real axis and the y-axis is the imaginary axis
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End behavior asymptote of a rational function
A polynomial that the function approaches as.
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First quartile
See Quartile.
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Focal length of a parabola
The directed distance from the vertex to the focus.
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Inequality symbol or
<,>,<,>.
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Instantaneous velocity
The instantaneous rate of change of a position function with respect to time, p. 737.
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Irrational zeros
Zeros of a function that are irrational numbers.
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Length of a vector
See Magnitude of a vector.
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Natural logarithmic function
The inverse of the exponential function y = ex, denoted by y = ln x.
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Numerical derivative of ƒ at a
NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002
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Numerical model
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.
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Product of functions
(ƒg)(x) = ƒ(x)g(x)
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Range of a function
The set of all output values corresponding to elements in the domain.
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Reflection across the x-axis
x, y and (x,-y) are reflections of each other across the x-axis.
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Rose curve
A graph of a polar equation or r = a cos nu.
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Solve graphically
Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically
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Terms of a sequence
The range elements of a sequence.