Please match up each entry in the first column to one in the second. Note that a given entry in the second column can be used once, more than once, or not at all. If a vector field F is the gradient of some scalar curl function, then F is If a curve C is the union of a finite number of conservative smooth curves, then C is If Se F dr = 0 for every closed path C in D, divergence then fF dr is If F = Pi + Qj, F is defined everywhere flux in R and aP/ay in D. aQ/əz, then F is If a curve C doesn't intersect itself any- irrotational where between its endpoints, then C is |If F is a vector field on R' then V × F is called path independent the If F is a vector field on R' then V · F is called piecewise smooth the |If F is a continuous vector field defined on simple an oriented surface S then ,F dS is the |If F is a vector field and V × F = 0 at a point simply-connected P, then F is at P.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

Please make sure to answer everything!

Please match up each entry in the first column to one in the second. Note that
a given entry in the second column can be used once, more than once, or not at all.
| If a vector field F is the gradient of some scalar curl
function, then F is .
If a curve C is the union of a finite number of conservative
smooth curves, then C is
If SeF. dr = 0 for every closed path C in D, divergence
then f.F dr is
in D.
Pi + Qj, F is defined everywhere flux
aQ/əx, then F is
If F
in R? and aP/ay
If a curve C doesn't intersect itself any- irrotational
where between its endpoints, then C is
If F is a vector field on R' then VxF is called path independent
the
If F is a vector field on R³ then V · F is called piecewise smooth
the
If F is a continuous vector field defined on simple
an oriented surface S then f, F . dS is the
If F is a vector field and V x F = 0 at a point simply-connected
P, then F is
at P.
Transcribed Image Text:Please match up each entry in the first column to one in the second. Note that a given entry in the second column can be used once, more than once, or not at all. | If a vector field F is the gradient of some scalar curl function, then F is . If a curve C is the union of a finite number of conservative smooth curves, then C is If SeF. dr = 0 for every closed path C in D, divergence then f.F dr is in D. Pi + Qj, F is defined everywhere flux aQ/əx, then F is If F in R? and aP/ay If a curve C doesn't intersect itself any- irrotational where between its endpoints, then C is If F is a vector field on R' then VxF is called path independent the If F is a vector field on R³ then V · F is called piecewise smooth the If F is a continuous vector field defined on simple an oriented surface S then f, F . dS is the If F is a vector field and V x F = 0 at a point simply-connected P, then F is at P.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning