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Select True or False. (a) True/False: In order to use Green's Theorem, the vector field must be a conservative vector field. (b) True/False: Vf.dr is independent of path. C (c) True/False: If F is a conservative vector field, then ſ F · dr = 0. C (d) True/False: If F is a conservative vector field, then it can be written as a gradient vector field. (e) True/False: In spherical coordinates, p=9 sec represents a horizontal plane. (f) True/False: If limf(x,y) approaches the same limiting value along two different paths, then (x,y) (a,b) lim f(x, y) exists. (x,y)-(a,b)

Select True or False. (a) True/False: In order to use Green's Theorem, the vector field must be a conservative vector field. (b) True/False: Vf.dr is independent of path. C (c) True/False: If F is a conservative vector field, then ſ F · dr = 0. C (d) True/False: If F is a conservative vector field, then it can be written as a gradient vector field. (e) True/False: In spherical coordinates, p=9 sec represents a horizontal plane. (f) True/False: If limf(x,y) approaches the same limiting value along two different paths, then (x,y) (a,b) lim f(x, y) exists. (x,y)-(a,b)

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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Select True or False. (a) True/False: In order to use Green's Theorem, the vector field must be a conservative vector field. (b) True/False: Vf.dr is independent of path. с (c) True/False: If F is a conservative vector field, then fF.dr = 0. C (d) True/False: If F is a conservative vector field, then it can be written as a gradient vector field. (e) True/False: In spherical coordinates, p=9 sec represents a horizontal plane. (f) True/False: If lim f(x,y) approaches the same limiting value along two different paths, then (x,y) (a,b) limf(x, y) exists.
Transcribed Image Text:Select True or False. (a) True/False: In order to use Green's Theorem, the vector field must be a conservative vector field. (b) True/False: Vf.dr is independent of path. с (c) True/False: If F is a conservative vector field, then fF.dr = 0. C (d) True/False: If F is a conservative vector field, then it can be written as a gradient vector field. (e) True/False: In spherical coordinates, p=9 sec represents a horizontal plane. (f) True/False: If lim f(x,y) approaches the same limiting value along two different paths, then (x,y) (a,b) limf(x, y) exists.
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