 8.3.1: In Exercises 17, determine d, where is as indicated. = exyz
 8.3.2: In Exercises 17, determine d, where is as indicated. = x 3 y 2x z2 ...
 8.3.3: In Exercises 17, determine d, where is as indicated. = (x 2 + y2) d...
 8.3.4: In Exercises 17, determine d, where is as indicated. = x1 dx2 x2 dx...
 8.3.5: In Exercises 17, determine d, where is as indicated. = xz dx dy y2z...
 8.3.6: In Exercises 17, determine d, where is as indicated. = x1x2x3 dx2 d...
 8.3.7: = n i=1 x 2 i dx1 dx'i dxn (Note: dx'i means that the term dxi is o...
 8.3.8: Let u be a unit vector and f a differentiable function. Show that d...
 8.3.9: If = F(x,z) dy + G(x, y) dz is a (differentiable) 1 form on R3, wh...
 8.3.10: Verify the generalized Stokess theorem (Theorem 3.2) for the 3mani...
 8.3.11: Verify the generalized Stokess theorem (Theorem 3.2) for the 3mani...
 8.3.12: (a) Let M be a parametrized 3manifold in R3 (i.e., a solid). Show ...
Solutions for Chapter 8.3: The Generalized Stokess Theorem
Full solutions for Vector Calculus  4th Edition
ISBN: 9780321780652
Solutions for Chapter 8.3: The Generalized Stokess Theorem
Get Full SolutionsVector Calculus was written by and is associated to the ISBN: 9780321780652. This expansive textbook survival guide covers the following chapters and their solutions. Since 12 problems in chapter 8.3: The Generalized Stokess Theorem have been answered, more than 13415 students have viewed full stepbystep solutions from this chapter. Chapter 8.3: The Generalized Stokess Theorem includes 12 full stepbystep solutions. This textbook survival guide was created for the textbook: Vector Calculus, edition: 4.

Algebraic model
An equation that relates variable quantities associated with phenomena being studied

Arctangent function
See Inverse tangent function.

Base
See Exponential function, Logarithmic function, nth power of a.

Bounded
A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

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

Chord of a conic
A line segment with endpoints on the conic

Constant of variation
See Power function.

Correlation coefficient
A measure of the strength of the linear relationship between two variables, pp. 146, 162.

Coterminal angles
Two angles having the same initial side and the same terminal side

Differentiable at x = a
ƒ'(a) exists

Distance (in Cartesian space)
The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x )  x 2)2 + (y1  y2)2 + (z 1  z 2)2

Geometric series
A series whose terms form a geometric sequence.

Higherdegree polynomial function
A polynomial function whose degree is ? 3

Imaginary part of a complex number
See Complex number.

Independent variable
Variable representing the domain value of a function (usually x).

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

Leastsquares line
See Linear regression line.

Linear regression line
The line for which the sum of the squares of the residuals is the smallest possible

Remainder polynomial
See Division algorithm for polynomials.

Symmetric about the yaxis
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