 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 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 13463 students have viewed full stepbystep answer. The full stepbystep solution to problem in Multivariable Calculus, were answered by , our top Calculus solution expert on 01/22/18, 03:30PM. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7.

Arcsine function
See Inverse sine function.

Bounded below
A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

Compounded k times per year
Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

Cone
See Right circular cone.

Coordinate(s) of a point
The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian threedimensional space

Cosine
The function y = cos x

Directed angle
See Polar coordinates.

Direction vector for a line
A vector in the direction of a line in threedimensional space

Leading coefficient
See Polynomial function in x

Linear equation in x
An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

Multiplicative inverse of a real number
The reciprocal of b, or 1/b, b Z 0

Normal distribution
A distribution of data shaped like the normal curve.

Opposite
See Additive inverse of a real number and Additive inverse of a complex number.

Reciprocal function
The function ƒ(x) = 1x

Reciprocal identity
An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

Relation
A set of ordered pairs of real numbers.

Removable discontinuity at x = a
lim x:a ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

Sum of complex numbers
(a + bi) + (c + di) = (a + c) + (b + d)i

Viewing window
The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

xyplane
The points x, y, 0 in Cartesian space.