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Let C be the counter-clockwise planar circle with center at the origin and radius r> 0. Without computing them, determine for the following vector fields F whether the line F. dr are positive, negative, or zero and type P, N, or Z as appropriate. A. F = the radial vector field = æi+ yj: B. F = the circulating vector field = –yi + æj: C. F = the circulating vector field = yi – æj: D. F = the constant vector field = i+j:

Let C be the counter-clockwise planar circle with center at the origin and radius r> 0. Without computing them, determine for the following vector fields F whether the line F. dr are positive, negative, or zero and type P, N, or Z as appropriate. A. F = the radial vector field = æi+ yj: B. F = the circulating vector field = –yi + æj: C. F = the circulating vector field = yi – æj: D. F = the constant vector field = i+j:

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let C be the counter-clockwise planar circle with center at the origin and radius r> 0. Without computing them, determine for the following vector fields F whether the line F. dr are positive, negative, or zero and type P, N, or Z as appropriate. A. F = the radial vector field = zi + yj: B. F = the circulating vector field = -yi+ ej: C. F = the circulating vector field = yi – zj: D. F = the constant vector field = i+j: Submit answer
Transcribed Image Text:Let C be the counter-clockwise planar circle with center at the origin and radius r> 0. Without computing them, determine for the following vector fields F whether the line F. dr are positive, negative, or zero and type P, N, or Z as appropriate. A. F = the radial vector field = zi + yj: B. F = the circulating vector field = -yi+ ej: C. F = the circulating vector field = yi – zj: D. F = the constant vector field = i+j: Submit answer
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