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Let F = (a*y+ sin(2), --4æ°y² + 3, æyl8 ) be a vector field on IR³. Find a vector potential G = (g1, 92, 0) for F (that is, a vector field G such that V x G = F ), where g, 92 : R3 –→ R are smooth functions. 91 = 92

Let F = (a*y+ sin(2), --4æ°y² + 3, æyl8 ) be a vector field on IR³. Find a vector potential G = (g1, 92, 0) for F (that is, a vector field G such that V x G = F ), where g, 92 : R3 –→ R are smooth functions. 91 = 92

Algebra and Trigonometry (MindTap Course List)
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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Let *y + sin(2), –, 42°y² + 3, zyls F = be a vector field on R. Find a vector potential G = (91, 92, 0) for F (that is, a vector field G such that V × G = F ), where g, 92 : R³ → R are smooth functions. 91 92
Transcribed Image Text:Let *y + sin(2), –, 42°y² + 3, zyls F = be a vector field on R. Find a vector potential G = (91, 92, 0) for F (that is, a vector field G such that V × G = F ), where g, 92 : R³ → R are smooth functions. 91 92
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