 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: INFINITE SEQUENCES AND SERIES
 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 12: VECTORS AND THE GEOMETRY OF SPACE
 Chapter 12.1: THREEDIMENSIONAL COORDINATE SYSTEMS
 Chapter 12.2: VECTORS
 Chapter 12.3: THE DOT PRODUCT
 Chapter 12.4: THE CROSS PRODUCT
 Chapter 12.5: EQUATIONS OF LINES AND PLANES
 Chapter 12.6: CYLINDERS AND QUADRIC SURFACES
 Chapter 13: VECTOR FUNCTIONS
 Chapter 13.1: VECTOR FUNCTIONS AND SPACE CURVES
 Chapter 13.2: DERIVATIVES AND INTEGRALS OF VECTOR FUNCTIONS
 Chapter 13.3: ARC LENGTH AND CURVATURE
 Chapter 13.4: MOTION IN SPACE: VELOCITY AND ACCELERATION
 Chapter 14: PARTIAL DERIVATIVES
 Chapter 14.1: FUNCTIONS OF SEVERAL VARIABLES
 Chapter 14.2: LIMITS AND CONTINUITY
 Chapter 14.3: PARTIAL DERIVATIVES
 Chapter 14.4: TANGENT PLANES AND LINEAR APPROXIMATIONS
 Chapter 14.5: THE CHAIN RULE
 Chapter 14.6: DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR
 Chapter 14.7: MAXIMUM AND MINIMUM VALUES
 Chapter 14.8: LAGRANGE MULTIPLIERS
 Chapter 15: MULTIPLE INTEGRALS
 Chapter 15.1: DOUBLE INTEGRALS OVER RECTANGLES
 Chapter 15.10: CHANGE OF VARIABLES IN MULTIPLE INTEGRALS
 Chapter 15.2: ITERATED INTEGRALS
 Chapter 15.3: DOUBLE INTEGRALS OVER GENERAL REGIONS
 Chapter 15.4: DOUBLE INTEGRALS IN POLAR COORDINATES
 Chapter 15.5: APPLICATIONS OF DOUBLE INTEGRALS
 Chapter 15.6: SURFACE AREA
 Chapter 15.7: TRIPLE INTEGRALS
 Chapter 15.8: TRIPLE INTEGRALS IN CYLINDRICAL COORDINATES
 Chapter 15.9: TRIPLE INTEGRALS IN SPHERICAL COORDINATES
 Chapter 16: VECTOR CALCULUS
 Chapter 16.1: VECTOR FIELDS
 Chapter 16.2: LINE INTEGRALS
 Chapter 16.3: THE FUNDAMENTAL THEOREM FOR LINE INTEGRALS
 Chapter 16.4: GREENS THEOREM
 Chapter 16.5: CURL AND DIVERGENCE
 Chapter 16.6: PARAMETRIC SURFACES AND THEIR AREAS
 Chapter 16.7: SURFACE INTEGRALS
 Chapter 16.8: STOKES THEOREM
 Chapter 16.9: THE DIVERGENCE THEOREM
 Chapter 17: SECONDORDER DIFFERENTIAL EQUATIONS
 Chapter 17.1: SECONDORDER LINEAR EQUATIONS
 Chapter 17.2: NONHOMOGENEOUS LINEAR EQUATIONS
 Chapter 17.3: APPLICATIONS OF SECONDORDER DIFFERENTIAL EQUATIONS
 Chapter 17.4: SERIES SOLUTIONS
Multivariable Calculus, 7th Edition  Solutions by Chapter
Full solutions for Multivariable Calculus,  7th Edition
ISBN: 9780538497879
Multivariable Calculus,  7th Edition  Solutions by Chapter
Get Full SolutionsMultivariable Calculus, was written by Patricia and is associated to the ISBN: 9780538497879. This expansive textbook survival guide covers the following chapters: 66. Since problems from 66 chapters in Multivariable Calculus, have been answered, more than 5957 students have viewed full stepbystep answer. The full stepbystep solution to problem in Multivariable Calculus, were answered by Patricia, our top Calculus solution expert on 01/22/18, 03:30PM. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7.

Aphelion
The farthest point from the Sun in a planet’s orbit

Arccosine function
See Inverse cosine function.

Bias
A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses

Boundary
The set of points on the “edge” of a region

Combinatorics
A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

Expanded form of a series
A series written explicitly as a sum of terms (not in summation notation).

Horizontal asymptote
The line is a horizontal asymptote of the graph of a function ƒ if lim x: q ƒ(x) = or lim x: q ƒ(x) = b

Horizontal translation
A shift of a graph to the left or right.

Linear inequality in x
An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

Midpoint (on a number line)
For the line segment with endpoints a and b, a + b2

Ordinary annuity
An annuity in which deposits are made at the same time interest is posted.

Parallelogram representation of vector addition
Geometric representation of vector addition using the parallelogram determined by the position vectors.

Partial sums
See Sequence of partial sums.

Quotient identities
tan ?= sin ?cos ?and cot ?= cos ? sin ?

Real number
Any number that can be written as a decimal.

Relation
A set of ordered pairs of real numbers.

Response variable
A variable that is affected by an explanatory variable.

Standard form of a complex number
a + bi, where a and b are real numbers

Sum of an infinite series
See Convergence of a series

symmetric about the xaxis
A graph in which (x, y) is on the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ?, ?) is on the graph whenever (r, ?) is
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