(b) Let D be the disk of radius a in R², and let C denote it's boundary. Let N be the unit normal vector to C. If F.N ds = = T. F = (Tx, 2Ty), find the value(s) of a, if any, such that

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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How do you solve b? Need this done ASAP, thank you! Will upvote answer if done within 90 minutes!

(a) Give an example of a vector field that is not irrotational and not incompressible.
(b) Let D be the disk of radius a in R², and let C denote it's boundary. Let N be the unit normal vector to C. If
F = (Tx, 2ny), find the value(s) of a, if any, such that
F.N ds = T.
Transcribed Image Text:(a) Give an example of a vector field that is not irrotational and not incompressible. (b) Let D be the disk of radius a in R², and let C denote it's boundary. Let N be the unit normal vector to C. If F = (Tx, 2ny), find the value(s) of a, if any, such that F.N ds = T.
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