22 + y?. x2 + y? Consider the vector field F |3D x2 + y2" (a) Show that F dr = 27 for all e >0 (b) Show that F is conservative away from the origin and find it's potential (c) Prove that F. dr = 27 for any closed curve C enclosing the origin
22 + y?. x2 + y? Consider the vector field F |3D x2 + y2" (a) Show that F dr = 27 for all e >0 (b) Show that F is conservative away from the origin and find it's potential (c) Prove that F. dr = 27 for any closed curve C enclosing the origin
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 11P
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