 16.8.1: A hemisphere and a portion of a paraboloid are shown. Suppose is a ...
 16.8.2: Use Stokes Theorem to evaluate .
 16.8.3: Use Stokes Theorem to evaluate .
 16.8.4: Use Stokes Theorem to evaluate .
 16.8.5: Use Stokes Theorem to evaluate .
 16.8.6: Use Stokes Theorem to evaluate .
 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 Let be the curve in Exercise 12 and consider all possible smoot...
 16.8.17: Calculate the work done by the force field when a particle moves un...
 16.8.18: Evaluate , where is the curve , . [Hint: Observe that lies on the s...
 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 Calculus,  5th Edition
ISBN: 9780534393397
Solutions for Chapter 16.8: Stokes Theorem
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Since 20 problems in chapter 16.8: Stokes Theorem have been answered, more than 45029 students have viewed full stepbystep solutions from this chapter. Calculus, was written by and is associated to the ISBN: 9780534393397. Chapter 16.8: Stokes Theorem includes 20 full stepbystep solutions.

Absolute value of a complex number
The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

Arithmetic sequence
A sequence {an} in which an = an1 + d for every integer n ? 2 . The number d is the common difference.

Completing the square
A method of adding a constant to an expression in order to form a perfect square

Compounded annually
See Compounded k times per year.

Cube root
nth root, where n = 3 (see Principal nth root),

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

Division
a b = aa 1 b b, b Z 0

Equivalent vectors
Vectors with the same magnitude and direction.

Explicitly defined sequence
A sequence in which the kth term is given as a function of k.

Intercepted arc
Arc of a circle between the initial side and terminal side of a central angle.

Inverse variation
See Power function.

Linear inequality in x
An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

Logarithmic function with base b
The inverse of the exponential function y = bx, denoted by y = logb x

Natural exponential function
The function ƒ1x2 = ex.

Product rule of logarithms
ogb 1RS2 = logb R + logb S, R > 0, S > 0,

Radicand
See Radical.

Semiminor axis
The distance from the center of an ellipse to a point on the ellipse along a line perpendicular to the major axis.

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

Sphere
A set of points in Cartesian space equally distant from a fixed point called the center.

Zero factorial
See n factorial.