Let F: R² R2 be the conservative vector field defined by F(x, y) = (exy. -ey) and lety: RR be a function of class C¹ Then, the vector field GR² R2 defined by G(x, y) = (x)F(x, y) is conservative O (A) if and only if 3CER such that p(x) = c.Vx ER O (B) if and only if y(x) > 0. VxER O (C) if and only if y(x) = x. Vx € R O (D) if and only if (x) = 0. Vx € R

Let F: R² R2 be the conservative vector field defined by F(x, y) = (exy. -ey) and lety: RR be a function of class C¹ Then, the vector field GR² R2 defined by G(x, y) = (x)F(x, y) is conservative O (A) if and only if 3CER such that p(x) = c.Vx ER O (B) if and only if y(x) > 0. VxER O (C) if and only if y(x) = x. Vx € R O (D) if and only if (x) = 0. Vx € 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 11P

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