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.
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...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22dbcb4d-749f-4331-ae7f-091cd03c548f%2F73471616-6e65-4f8d-ad2c-9d5363fa1cdd%2Fpir37br_processed.jpeg&w=3840&q=75)
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.
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