Let F(x, y, z)=zi+yj+z¹k. Compute the flux of F over the surface S, which is the part of the cone z = 4√x² + y² that lies beneath the plane z = 1, considered with the downward orientation. Note: Divergence Theorem does not directly apply here.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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Let F(x, y, z)=zi+yj+z¹k. Compute the flux of F over
the surface S, which is the part of the cone z = 4√x² + y² that lies beneath
the plane z = 1, considered with the downward orientation.
Note: Divergence Theorem does not directly apply here.
Transcribed Image Text:Let F(x, y, z)=zi+yj+z¹k. Compute the flux of F over the surface S, which is the part of the cone z = 4√x² + y² that lies beneath the plane z = 1, considered with the downward orientation. Note: Divergence Theorem does not directly apply here.
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