Let F(x, y, z) = (8 + 8y+ 3z+yz, 6x + 6y + 2z+ cz, 5x + 4y+ 10z+ ry). and let C be the curve that consists of 4 straight lines, beginning at (0, 0, 0) , going to (9, 0, 0), continuing to (9, 1, 2), then to (0, 1, 2), and finally returning to (0, 0, 0). Use Stokes' theorem to compute the circulation of F around C. SF di =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Let
F(x, y, z) = (8 + 8y + 3z + yz, 6x + 6y + 2z + cz, 5x + 4y+ 10z + xy).
and let C be the curve that consists of 4 straight lines, beginning at (0, 0, 0) , going to (9, 0, 0), continuing to (9, 1, 2), then to (0, 1, 2), and
finally returning to (0, 0, 0).
Use Stokes' theorem to compute the circulation of F around C.
(F. dr =
C
Transcribed Image Text:Let F(x, y, z) = (8 + 8y + 3z + yz, 6x + 6y + 2z + cz, 5x + 4y+ 10z + xy). and let C be the curve that consists of 4 straight lines, beginning at (0, 0, 0) , going to (9, 0, 0), continuing to (9, 1, 2), then to (0, 1, 2), and finally returning to (0, 0, 0). Use Stokes' theorem to compute the circulation of F around C. (F. dr = C
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