2. Let D be an open, connected but not simply-connected subset of R2. Give an example of vector field F(x, y) = (P(x, y), Q(x, y)) satisfying each of the following cases. Explain your answer in detail. (a) Qx(x, y), and F is a gradient (conser- (b) V(x, y) = D, Py(x, y) vative) vector field. V(x, y) = D, Py(x, y) (conservative) vector field. = Qx(x, y), and F is not a gradient
2. Let D be an open, connected but not simply-connected subset of R2. Give an example of vector field F(x, y) = (P(x, y), Q(x, y)) satisfying each of the following cases. Explain your answer in detail. (a) Qx(x, y), and F is a gradient (conser- (b) V(x, y) = D, Py(x, y) vative) vector field. V(x, y) = D, Py(x, y) (conservative) vector field. = Qx(x, y), and F is not a gradient
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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could you plz explain more about the b part? i didn't get it
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