1. The vector field F(x, y) = -24 yi i + -y x² + x² + y2 Is an example of a vector field that does not satisfy the conditions of the "fine print" in today's theorem. That is because the domain of this vector field has a hole at the point (0,0), but the theorem requires the domain to have no holes. a. Show that the vector field satisfies the condition b. Let r(t) = (cos(t),sin(t)), 0 < t < 2 n. Notice that the graph of r(t) is a closed curve C, since r(0) = r(2 7) = (1,0). Nevertheless, show that SF• dr is NOT zero.

1. The vector field F(x, y) = -24 yi i + -y x² + x² + y2 Is an example of a vector field that does not satisfy the conditions of the "fine print" in today's theorem. That is because the domain of this vector field has a hole at the point (0,0), but the theorem requires the domain to have no holes. a. Show that the vector field satisfies the condition b. Let r(t) = (cos(t),sin(t)), 0 < t < 2 n. Notice that the graph of r(t) is a closed curve C, since r(0) = r(2 7) = (1,0). Nevertheless, show that SF• dr is NOT zero.

Name: Please help me and please write as clear words or type 1. The vector f
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Description: Please help me and please write as clear words or type 1. The vector fieldF(x, y) :i +x² + y2Is an example of a vector field that does not satisfy the conditions of the "fine print" in today'stheorem. That is because the domain of this vector field h

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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