 14.7.1E: Explain the meaning of the integral in Stokes' Theorem.
 14.7.2E: Explain the meaning of the integral S(? × F) · n dS in Stokes' Theo...
 14.7.3E: Explain the meaning of Stokes' Theorem.
 14.7.4E: Why does a conservative vector field produce zero circulation aroun...
 14.7.5E: Verifying Stokes' Theorem Verify that the line integral and the sur...
 14.7.6E: Verifying Stokes' Theorem Verify that the line integral and the sur...
 14.7.7E: Verifying Stokes' Theorem Verify that the line integral and the sur...
 14.7.8E: Verifying Stokes' Theorem Verify that the line integral and the sur...
 14.7.9E: Verifying Stokes' Theorem Verify that the line integral and the sur...
 14.7.39E: Maximum surface integral Let S be the paraboloid z = a(1 ? x2 ? y2)...
 14.7.10E: Verifying Stokes' Theorem Verify that the line integral and the sur...
 14.7.11E: Stokes' Theorem for evaluating line integrals Evaluate the line int...
 14.7.12E: Stokes' Theorem for evaluating line integrals Evaluate the line int...
 14.7.13E: Stokes' Theorem for evaluating line integrals Evaluate the line int...
 14.7.14E: Stokes' Theorem for evaluating line integrals Evaluate the line int...
 14.7.18E: Stokes' Theorem for evaluating surface integrals Evaluate the line ...
 14.7.19E: Stokes' Theorem for evaluating surface integrals Evaluate the line ...
 14.7.20E: Stokes' Theorem for evaluating surface integrals Evaluate the line ...
 14.7.21E: Interpreting and graphing the curl For the following velocity field...
 14.7.22E: Interpreting and graphing the curl For the following velocity field...
 14.7.23E: Interpreting and graphing the curl For the following velocity field...
 14.7.24E: Interpreting and graphing the curl For the following velocity field...
 14.7.25E: Explain why or why not Determine whether the following statements a...
 14.7.40E: Area of a region in a plane Let R be a region in a plane that has a...
 14.7.26E: Conservative fields Use stokes' Theorem to find the circula tion o...
 14.7.27E: Conservative fields Use stokes' Theorem to find the circula tion o...
 14.7.28E: Conservative fields Use stokes' Theorem to find the circula tion o...
 14.7.29E: Conservative fields Use stokes' Theorem to find the circula tion o...
 14.7.30E: Tilted disks Let S be the disk enclosed by the curve C: r(t) = ?cos...
 14.7.31E: Tilted disks Let S be the disk enclosed by the curve C: r(t) = ?cos...
 14.7.32E: Tilted disks Let S be the disk enclosed by the curve C: r(t) = ?cos...
 14.7.33E: Tilted disks Let S be the disk enclosed by the curve C: r(t) = ?cos...
 14.7.34E: Tilted disks Let S be the disk enclosed by the curve C: r(t) = ?cos...
 14.7.35E: Tilted disks Let S be the disk enclosed by the curve C: r(t) = ?cos...
 14.7.36E: No integrals Let F = ?2z, z, 2y + x? and let S be the hemisphere of...
 14.7.37E: Compound surface and boundary Begin with the paraboloid z = x2+ y2,...
 14.7.38E: Ampère's Law The French physicist AndréMarie Ampère (17751836) di...
 14.7.42AE: Radial fields and zero circulation Consider the radial vector field...
 14.7.43AE: Zero curl Consider the vector field a. Show that ? × F = 0.________...
 14.7.44AE: Average circulation Let S be a small circular disk of radius R cent...
 14.7.45AE: Proof of Stokes' Theorem Confirm the following step in the proof of...
 14.7.46AE: Stokes' Theorem on closed surfaces Prove that if F satisfies the co...
 14.7.47AE: Rotated Green's Theorem Use Stokes' Theorem to write the cir culati...
 14.7.17E: Stokes' Theorem for evaluating surface integrals Evaluate the line ...
 14.7.16E: Stokes' Theorem for evaluating line integrals Evaluate the line int...
 14.7.41E: Choosing a more convenient surface The goal is to evaluate A = (? ×...
 14.7.15E: Stokes' Theorem for evaluating line integrals Evaluate the line int...
Solutions for Chapter 14.7: Calculus: Early Transcendentals 1st Edition
Full solutions for Calculus: Early Transcendentals  1st Edition
ISBN: 9780321570567
Solutions for Chapter 14.7
Get Full SolutionsCalculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321570567. Since 47 problems in chapter 14.7 have been answered, more than 55887 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 14.7 includes 47 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

Addition property of inequality
If u < v , then u + w < v + w

Branches
The two separate curves that make up a hyperbola

Characteristic polynomial of a square matrix A
det(xIn  A), where A is an n x n matrix

Differentiable at x = a
ƒ'(a) exists

Divisor of a polynomial
See Division algorithm for polynomials.

Geometric sequence
A sequence {an}in which an = an1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

Grapher or graphing utility
Graphing calculator or a computer with graphing software.

Integers
The numbers . . ., 3, 2, 1, 0,1,2,...2

Interquartile range
The difference between the third quartile and the first quartile.

Irreducible quadratic over the reals
A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

Number line graph of a linear inequality
The graph of the solutions of a linear inequality (in x) on a number line

Oddeven identity
For a basic trigonometric function f, an identity relating f(x) to f(x).

Orthogonal vectors
Two vectors u and v with u x v = 0.

Polar coordinates
The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

Product of matrices A and B
The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

Range of a function
The set of all output values corresponding to elements in the domain.

Real zeros
Zeros of a function that are real numbers.

Righthand limit of ƒ at x a
The limit of ƒ as x approaches a from the right.

System
A set of equations or inequalities.

Vertical line test
A test for determining whether a graph is a function.
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