 16.8.1: A hemisphere and a portion of a paraboloid are shown. Suppose is a ...
 16.8.2: Use Stokes Theorem to evaluate . , is the hemisphere , , oriented u...
 16.8.3: Use Stokes Theorem to evaluate . , is the part of the paraboloid th...
 16.8.4: Use Stokes Theorem to evaluate . , is the cone , , oriented in the ...
 16.8.5: Use Stokes Theorem to evaluate . , consists of the top and the four...
 16.8.6: Use Stokes Theorem to evaluate . , is the half of the ellipsoid tha...
 16.8.7: Use Stokes Theorem to evaluate . In each case is oriented countercl...
 16.8.8: Use Stokes Theorem to evaluate . In each case is oriented countercl...
 16.8.9: Use Stokes Theorem to evaluate . In each case is oriented countercl...
 16.8.10: Use Stokes Theorem to evaluate . In each case is oriented countercl...
 16.8.11: (a) Use Stokes Theorem to evaluate , where and is the curve of inte...
 16.8.12: (a) Use Stokes Theorem to evaluate , where and is the curve of inte...
 16.8.13: Verify that Stokes Theorem is true for the given vector field and s...
 16.8.14: Verify that Stokes Theorem is true for the given vector field and s...
 16.8.15: Verify that Stokes Theorem is true for the given vector field and s...
 16.8.16: Let be a simple closed smooth curve that lies in the plane . Show t...
 16.8.17: A particle moves along line segments from the origin to the points ...
 16.8.18: Evaluate where is the curve , . [Hint: Observe that lies on the sur...
 16.8.19: If is a sphere and satisfies the hypotheses of Stokes Theorem, show...
 16.8.20: Suppose and satisfy the hypotheses of Stokes Theorem and , have con...
Solutions for Chapter 16.8: STOKES THEOREM
Full solutions for Multivariable Calculus,  7th Edition
ISBN: 9780538497879
Solutions for Chapter 16.8: STOKES THEOREM
Get Full SolutionsThis textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Since 20 problems in chapter 16.8: STOKES THEOREM have been answered, more than 23658 students have viewed full stepbystep solutions from this chapter. Chapter 16.8: STOKES THEOREM includes 20 full stepbystep solutions. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879.

Average rate of change of ƒ over [a, b]
The number ƒ(b)  ƒ(a) b  a, provided a ? b.

Common difference
See Arithmetic sequence.

Compounded monthly
See Compounded k times per year.

Dependent event
An event whose probability depends on another event already occurring

General form (of a line)
Ax + By + C = 0, where A and B are not both zero.

Horizontal component
See Component form of a vector.

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

Linear correlation
A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

Linear regression
A procedure for finding the straight line that is the best fit for the data

Magnitude of a real number
See Absolute value of a real number

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

nset
A set of n objects.

Onetoone rule of logarithms
x = y if and only if logb x = logb y.

Parametric equations for a line in space
The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

Quadrant
Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

Sequence of partial sums
The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

Slant asymptote
An end behavior asymptote that is a slant line

Solve graphically
Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

Stem
The initial digit or digits of a number in a stemplot.

Unit ratio
See Conversion factor.