Let C be the boundary of the portion of the plane x+y+z=2 that lies in the first octant, oriented counterclockwise when viewed from above. (a) (b) Sketch the given curve C. Use Stokes' Theorem to compute SF. dr for F(x, y, z) = 2yi+2xyj+z²k.

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Let C be the boundary of the portion of the plane x+y+z=2 that lies in the first
octant, oriented counterclockwise when viewed from above.
(a)
(b)
Sketch the given curve C.
Use Stokes' Theorem to compute SF. dr for F(x, y, z) = 2yi+2xyj+z²k.
Transcribed Image Text:Let C be the boundary of the portion of the plane x+y+z=2 that lies in the first octant, oriented counterclockwise when viewed from above. (a) (b) Sketch the given curve C. Use Stokes' Theorem to compute SF. dr for F(x, y, z) = 2yi+2xyj+z²k.
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