 14.7.1: Explain the meaning of the integral AC F # dr in Stokes Theorem.
 14.7.2: Explain the meaning of the integral 4S 1_ * F2 # n dS in Stokes The...
 14.7.3: Explain the meaning of Stokes Theorem.
 14.7.4: Why does a conservative vector field produce zero circulation aroun...
 14.7.5: 510. Verifying Stokes Theorem Verify that the line integral and the...
 14.7.6: 510. Verifying Stokes Theorem Verify that the line integral and the...
 14.7.7: 510. Verifying Stokes Theorem Verify that the line integral and the...
 14.7.8: 510. Verifying Stokes Theorem Verify that the line integral and the...
 14.7.9: 510. Verifying Stokes Theorem Verify that the line integral and the...
 14.7.10: 510. Verifying Stokes Theorem Verify that the line integral and the...
 14.7.11: 1116. Stokes Theorem for evaluating line integrals Evaluate the lin...
 14.7.12: 1116. Stokes Theorem for evaluating line integrals Evaluate the lin...
 14.7.13: 1116. Stokes Theorem for evaluating line integrals Evaluate the lin...
 14.7.14: 1116. Stokes Theorem for evaluating line integrals Evaluate the lin...
 14.7.15: 1116. Stokes Theorem for evaluating line integrals Evaluate the lin...
 14.7.16: 1116. Stokes Theorem for evaluating line integrals Evaluate the lin...
 14.7.17: 1720. Stokes Theorem for evaluating surface integrals Evaluate the ...
 14.7.18: 1720. Stokes Theorem for evaluating surface integrals Evaluate the ...
 14.7.19: 1720. Stokes Theorem for evaluating surface integrals Evaluate the ...
 14.7.20: 1720. Stokes Theorem for evaluating surface integrals Evaluate the ...
 14.7.21: 2124. Interpreting and graphing the curl For the following velocity...
 14.7.22: 2124. Interpreting and graphing the curl For the following velocity...
 14.7.23: 2124. Interpreting and graphing the curl For the following velocity...
 14.7.24: 2124. Interpreting and graphing the curl For the following velocity...
 14.7.25: Explain why or why not Determine whether the following statements a...
 14.7.26: 2629. Conservative fields Use Stokes Theorem to find the circulatio...
 14.7.27: 2629. Conservative fields Use Stokes Theorem to find the circulatio...
 14.7.28: 2629. Conservative fields Use Stokes Theorem to find the circulatio...
 14.7.29: 2629. Conservative fields Use Stokes Theorem to find the circulatio...
 14.7.30: What is the area of S? Find a vector normal to S.
 14.7.31: What is the length of C?
 14.7.32: Use Stokes Theorem and a surface integral to find the circulation o...
 14.7.33: What is the circulation on C of the vector field F = 8 y, z, x9 a...
 14.7.34: Consider the vector field F = a * r, where a = 8a1, a2, a39 is a co...
 14.7.35: Circulation in a plane A circle C in the plane x + y + z = 8 has a ...
 14.7.36: No integrals Let F = 82z, z, 2y + x9 and let S be the hemisphere of...
 14.7.37: Compound surface and boundary Begin with the paraboloid z = x2 + y2...
 14.7.38: Ampres Law The French physicist AndrMarie Ampre (17751836) discove...
 14.7.39: Maximum surface integral Let S be the paraboloid z = a11  x2  y22...
 14.7.40: Area of a region in a plane Let R be a region in a plane that has a...
 14.7.41: Choosing a more convenient surface The goal is to evaluate A = 4S 1...
 14.7.42: Radial fields and zero circulation Consider the radial vector field...
 14.7.43: Zero curl Consider the vector field F = y x2 + y2 i + x x2 + y2 j ...
 14.7.44: Average circulation Let S be a small circular disk of radius R cent...
 14.7.45: Proof of Stokes Theorem Confirm the following step in the proof of ...
 14.7.46: Stokes Theorem on closed surfaces Prove that if F satisfies the con...
 14.7.47: Rotated Greens Theorem Use Stokes Theorem to write the circulation ...
Solutions for Chapter 14.7: Calculus: Early Transcendentals 2nd Edition
Full solutions for Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321947345
Solutions for Chapter 14.7
Get Full SolutionsChapter 14.7 includes 47 full stepbystep solutions. Since 47 problems in chapter 14.7 have been answered, more than 61160 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345.

Common ratio
See Geometric sequence.

Constant
A letter or symbol that stands for a specific number,

Constant term
See Polynomial function

Dot product
The number found when the corresponding components of two vectors are multiplied and then summed

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

Fibonacci sequence
The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

Focal width of a parabola
The length of the chord through the focus and perpendicular to the axis.

Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.

Inverse function
The inverse relation of a onetoone function.

Inverse relation (of the relation R)
A relation that consists of all ordered pairs b, a for which a, b belongs to R.

Linear regression equation
Equation of a linear regression line

Logistic growth function
A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + aekx, where a, b, c, and k are positive with b < 1. c is the limit to growth

Parallel lines
Two lines that are both vertical or have equal slopes.

Pole
See Polar coordinate system.

Positive angle
Angle generated by a counterclockwise rotation.

Quadratic function
A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

Random behavior
Behavior that is determined only by the laws of probability.

Rose curve
A graph of a polar equation or r = a cos nu.

Solution set of an inequality
The set of all solutions of an inequality

Upper bound test for real zeros
A test for finding an upper bound for the real zeros of a polynomial.