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.
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
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9526408d-16c5-44a4-975f-3dfcf52948c1%2F69197e6e-b0d9-4bc8-ad3a-8e3afb241af9%2Fqag80hb_processed.jpeg&w=3840&q=75)
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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