Consider the image of a vector field F and the curve C where C has a counterclockwise orientation. (a) Would you expect the circulation of F around C to be posi- TO tive, negative, or zero? Explain. (b) Would you expect the outward flux of F through C to be positive, negative, or zero? Explain. 0.0 -0.5 -1.0

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 76E: Let f1(x)=3x and f2(x)=|x|. Graph both functions on the interval 2x2. Show that these functions are...
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8.
Consider the image of a vector field F and the curve C where C has a counterclockwise
orientation.
(a) Would you expect the circulation of F around C to be posi- TO
tive, negative, or zero? Explain.
(b) Would you expect the outward flux of ♬ through C to be
positive, negative, or zero? Explain.
0.5
0.0
-0.5
-1.0
-1.0
-0.5
0.0
1.0
Transcribed Image Text:8. Consider the image of a vector field F and the curve C where C has a counterclockwise orientation. (a) Would you expect the circulation of F around C to be posi- TO tive, negative, or zero? Explain. (b) Would you expect the outward flux of ♬ through C to be positive, negative, or zero? Explain. 0.5 0.0 -0.5 -1.0 -1.0 -0.5 0.0 1.0
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