 16.7.1E: Using Stokes’ Theorem to Find Line IntegralsIn Exercise, use the su...
 16.7.2E: Using Stokes’ Theorem to Find Line IntegralsIn Exercise, use the su...
 16.7.3E: Using Stokes’ Theorem to Find Line IntegralsIn Exercise, use the su...
 16.7.4E: Using Stokes’ Theorem to Find Line IntegralsIn Exercise, use the su...
 16.7.5E: Using Stokes’ Theorem to Find Line IntegralsIn Exercise, use the su...
 16.7.6E: Using Stokes’ Theorem to Find Line IntegralsIn Exercise, use the su...
 16.7.7E: Flux of the CurlLet n be the outer unit normal of the elliptical sh...
 16.7.8E: Flux of the CurlLet n be the outer unit normal (normal away from th...
 16.7.9E: Flux of the CurlLet S be the cylinder outward through S.
 16.7.10E: Flux of the CurlEvaluate
 16.7.11E: Suppose Determine the flux F of across the entire unit sphere.
 16.7.12E: Repeat exercise 11 for the flux of F across the entire unit sphereR...
 16.7.13E: Stokes’ Theorem for Parametrized SurfacesIn Exercise, use the surfa...
 16.7.14E: Stokes’ Theorem for Parametrized SurfacesIn Exercise, use the surfa...
 16.7.15E: Stokes’ Theorem for Parametrized SurfacesIn Exercise, use the surfa...
 16.7.16E: Stokes’ Theorem for Parametrized SurfacesIn Exercise, use the surfa...
 16.7.17E: Stokes’ Theorem for Parametrized SurfacesIn Exercise, use the surfa...
 16.7.18E: Stokes’ Theorem for Parametrized SurfacesIn Exercise, use the surfa...
 16.7.19E: Let C be the smooth curve r(t) = (2 cos t)i + (2 sin t)j + , orient...
 16.7.20E: Verify Stokes' Theorem for the vector field F = 2xyi + xj + (y + z)...
 16.7.21E: Theory and ExamplesZero circulation Use the identity (Equation (8)i...
 16.7.22E: Theory and ExamplesZero circulation Let Show that the clockwise cir...
 16.7.23E: Theory and ExamplesLet C be a simple closed smooth curve in the pla...
 16.7.24E: Theory and ExamplesShow that if F = xi + yj + zk, then
 16.7.25E: Theory and ExamplesFind a vector field with twicedifferentiable co...
 16.7.26E: Theory and ExamplesDoes Stokes’ Theorem say anything special about ...
Solutions for Chapter 16.7: Thomas' Calculus: Early Transcendentals 13th Edition
Full solutions for Thomas' Calculus: Early Transcendentals  13th Edition
ISBN: 9780321884077
Solutions for Chapter 16.7
Get Full SolutionsThomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This expansive textbook survival guide covers the following chapters and their solutions. Since 26 problems in chapter 16.7 have been answered, more than 67481 students have viewed full stepbystep solutions from this chapter. Chapter 16.7 includes 26 full stepbystep solutions. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13.

Composition of functions
(f ? g) (x) = f (g(x))

Difference of functions
(ƒ  g)(x) = ƒ(x)  g(x)

Equal complex numbers
Complex numbers whose real parts are equal and whose imaginary parts are equal.

Identity
An equation that is always true throughout its domain.

Minute
Angle measure equal to 1/60 of a degree.

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

Parameter interval
See Parametric equations.

Phase shift
See Sinusoid.

Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02

Random numbers
Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

Rational zeros theorem
A procedure for finding the possible rational zeros of a polynomial.

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

Slant line
A line that is neither horizontal nor vertical

Statistic
A number that measures a quantitative variable for a sample from a population.

Summation notation
The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

Vertex form for a quadratic function
ƒ(x) = a(x  h)2 + k

Vertical component
See Component form of a vector.

Vertices of an ellipse
The points where the ellipse intersects its focal axis.

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

Ymin
The yvalue of the bottom of the viewing window.