Given the following vector field and oriented curve C, evaluate F.Tds. C F = (-5y,5x) on the semicircle r(t) = (4 cos t,4 sin t), for 0stsn F.T ds= C (Type an exact answer, using n as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given the following vector field and oriented curve C, evaluate
F Tds.
C
F = (-5y,5x) on the semicircle r(t)= (4 cos t,4 sin t), for 0stST
F.T ds =D
%3D
C
(Type an exact answer, using n as needed.)
Transcribed Image Text:Given the following vector field and oriented curve C, evaluate F Tds. C F = (-5y,5x) on the semicircle r(t)= (4 cos t,4 sin t), for 0stST F.T ds =D %3D C (Type an exact answer, using n as needed.)
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