10 Consider the vector field - F(x,y) = (x² + 1, y + (a − 3) log x), (x, y) = E with E = {(x,y) = R²: x>0} and a Є R, then: (A) F is conservative if and only if a = 3 (B) F is curl-free but not conservative if a = 3 (C) if a 3 then V(x, y) = x³ + y, (x, y) = E is a potential of F (D) F is not curl-free for every a € R

10 Consider the vector field - F(x,y) = (x² + 1, y + (a − 3) log x), (x, y) = E with E = {(x,y) = R²: x>0} and a Є R, then: (A) F is conservative if and only if a = 3 (B) F is curl-free but not conservative if a = 3 (C) if a 3 then V(x, y) = x³ + y, (x, y) = E is a potential of F (D) F is not curl-free for every a € R

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 16P

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