Please make sure to answer everything! Please match up each entry in the first column to one in the second. Note thata 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 curlfunction, then F is .If a curve C is the union of a finite number of conservativesmooth curves, then C isIf SeF. dr = 0 for every closed path C in D, divergencethen f.F dr isin D.Pi + Qj, F is defined everywhere fluxaQ/əx, then F isIf Fin R? and aP/ayIf a curve C doesn't intersect itself any- irrotationalwhere between its endpoints, then C isIf F is a vector field on R' then VxF is called path independenttheIf F is a vector field on R³ then V · F is called piecewise smooththeIf F is a continuous vector field defined on simplean oriented surface S then f, F . dS is theIf F is a vector field and V x F = 0 at a point simply-connectedP, then F isat P.

If a vector field F is the gradient of some scalar function then F is _____If a curve C is the union…

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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