... (a) Is the vector field conservative? Why or why not? (b) Does the curl of the vector field at P point in the positive z-direction, negative z-direction of is it the zero vector? (c) Is the divergence at P positive, negative or zero? (d) Is F dr along the path shown positive, negative, or zero? C

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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ノノ
ノ
ノノ
ノノ
と
(a) Is the vector field conservative? Why or why not?
(b) Does the curl of the vector field at P point in the positive z-direction, negative
z-direction of is it the zero vector?
(c) Is the divergence at P positive, negative or zero?
(d) Is ſ F- dr along the path shown positive, negative, or zero?
C
Transcribed Image Text:ノノ ノ ノノ ノノ と (a) Is the vector field conservative? Why or why not? (b) Does the curl of the vector field at P point in the positive z-direction, negative z-direction of is it the zero vector? (c) Is the divergence at P positive, negative or zero? (d) Is ſ F- dr along the path shown positive, negative, or zero? C
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