- Chapter 1: Parametric Equations and Polar Coordinates -
- Chapter 1.1: Parametric Equations and Polar Coordinates - Parametric Equations
- Chapter 1.2: Parametric Equations and Polar Coordinates - Calculus of Parametric Curves
- Chapter 1.3: Parametric Equations and Polar Coordinates - Polar Coordinates
- Chapter 1.4: Parametric Equations and Polar Coordinates - Area and Arc Length in Polar Coordinates
- Chapter 1.5: Parametric Equations and Polar Coordinates - Conic Sections
- Chapter 2: Vectors in Space -
- Chapter 2.1: Vectors in Space - Vectors in the Plane
- Chapter 2.2: Vectors in Space - Vectors in Three Dimensions
- Chapter 2.3: Vectors in Space - The Dot Product
- Chapter 2.4: Vectors in Space - The Cross Product
- Chapter 2.5: Vectors in Space - Equations of Lines and Planes in Space
- Chapter 2.6: Vectors in Space - Quadric Surfaces
- Chapter 2.7: Vectors in Space - Cylindrical and Spherical Coordinates
- Chapter 3: Vector-Valued Functions -
- Chapter 3.1: Vector-Valued Functions - Vector-Valued Functions and Space Curves
- Chapter 3.2: Vector-Valued Functions - Calculus of Vector-Valued Functions
- Chapter 3.3: Vector-Valued Functions - Arc Length and Curvature
- Chapter 3.4: Vector-Valued Functions - Motion in Space
- Chapter 4: Differentiation of Functions of Several Variables -
- Chapter 4.1: Differentiation of Functions of Several Variables - Functions of Several Variables
- Chapter 4.2: Differentiation of Functions of Several Variables - Limits and Continuity
- Chapter 4.3: Differentiation of Functions of Several Variables - Partial Derivatives
- Chapter 4.4: Differentiation of Functions of Several Variables - Tangent Planes and Linear Approximations
- Chapter 4.5: Differentiation of Functions of Several Variables - The Chain Rule
- Chapter 4.6: Differentiation of Functions of Several Variables - Directional Derivatives and the Gradient
- Chapter 4.7: Differentiation of Functions of Several Variables - Maxima/Minima Problems
- Chapter 4.8: Differentiation of Functions of Several Variables - Lagrange Multipliers
- Chapter 5: Multiple Integration -
- Chapter 5.1: Multiple Integration - Double Integrals over Rectangular Regions
- Chapter 5.2: Multiple Integration - Double Integrals over General Regions
- Chapter 5.3: Multiple Integration - Double Integrals in Polar Coordinates
- Chapter 5.4: Multiple Integration - Triple Integrals
- Chapter 5.5: Multiple Integration - Triple Integrals in Cylindrical and Spherical Coordinates
- Chapter 5.6: Multiple Integration - Calculating Centers of Mass and Moments of Inertia
- Chapter 5.7: Multiple Integration - Change of Variables in Multiple Integrals
- Chapter 6: Vector Calculus -
- Chapter 6.1: Vector Calculus - Vector Fields
- Chapter 6.2: Vector Calculus - Line Integrals
- Chapter 6.3: Vector Calculus - Conservative Vector Fields
- Chapter 6.4: Vector Calculus - Green’s Theorem
- Chapter 6.5: Vector Calculus - Divergence and Curl
- Chapter 6.6: Vector Calculus - Surface Integrals
- Chapter 6.7: Vector Calculus - Stokes’ Theorem
- Chapter 6.8: Vector Calculus - The Divergence Theorem
- Chapter 7: Second-Order Differential Equations -
- Chapter 7.1: Second-Order Differential Equations - Second-Order Linear Equations
- Chapter 7.2: Second-Order Differential Equations - Nonhomogeneous Linear Equations
- Chapter 7.3: Second-Order Differential Equations - Applications
- Chapter 7.4: Second-Order Differential Equations - Series Solutions of Differential Equations
Calculus Volume 3 1st Edition - Solutions by Chapter
Full solutions for Calculus Volume 3 | 1st Edition
ISBN: 9781938168079
Solutions by Chapter
This expansive textbook survival guide covers the following chapters: 50. This textbook survival guide was created for the textbook: Calculus Volume 3, edition: 1. Since problems from 50 chapters in Calculus Volume 3 have been answered, more than 6885 students have viewed full step-by-step answer. Calculus Volume 3 was written by Aimee Notetaker and is associated to the ISBN: 9781938168079. The full step-by-step solution to problem in Calculus Volume 3 were answered by Aimee Notetaker, our top Calculus solution expert on 03/18/22, 10:36AM.
Key Calculus Terms and definitions covered in this textbook
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Acceleration due to gravity
g ? 32 ft/sec2 ? 9.8 m/sec
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Ambiguous case
The case in which two sides and a nonincluded angle can determine two different triangles
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Augmented matrix
A matrix that represents a system of equations.
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Bearing
Measure of the clockwise angle that the line of travel makes with due north
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Census
An observational study that gathers data from an entire population
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Cone
See Right circular cone.
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Convergence of a series
A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S
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Matrix element
Any of the real numbers in a matrix
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Multiplicative inverse of a matrix
See Inverse of a matrix
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Placebo
In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.
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Position vector of the point (a, b)
The vector <a,b>.
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Radian
The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.
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Reflection
Two points that are symmetric with respect to a lineor a point.
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Riemann sum
A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.
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Row operations
See Elementary row operations.
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Sample standard deviation
The standard deviation computed using only a sample of the entire population.
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Spiral of Archimedes
The graph of the polar curve.
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Transverse axis
The line segment whose endpoints are the vertices of a hyperbola.
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Variation
See Power function.
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xz-plane
The points x, 0, z in Cartesian space.