Circulation of two-dimensional flows Let C be the unit circle withcounterclockwise orientation. Find the circulation on C of the following vector fields.a. The radial vector field F = ⟨x, y⟩b. The rotation vector field F = ⟨ -y, x⟩

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
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Circulation of two-dimensional flows Let C be the unit circle with
counterclockwise orientation. Find the circulation on C of the following vector fields.
a. The radial vector field F = ⟨x, y
b. The rotation vector field F = ⟨ -y, x

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Concept:

Similar to circle sphere is a two dimensional space where the set of points that are at the same distance r from a given point in a three dimensional space. In analytical geometry with a center and radius is the locus of all points is called sphere

Step 2

a The rdaial flow feild F=x,yb The ratational flow field F=-y,x

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