5. Evaluate the integral F.dS where F = (2x, y, z) and S is the boundary of the solid cylinder x² + y² =1 that S includes the disks z = 0 and z = 3. Notes: This is the cylinder that includes the top and bottom disks. You may NOT use the Divergence Theorem for this problem, but you can use it to check your result.
5. Evaluate the integral F.dS where F = (2x, y, z) and S is the boundary of the solid cylinder x² + y² =1 that S includes the disks z = 0 and z = 3. Notes: This is the cylinder that includes the top and bottom disks. You may NOT use the Divergence Theorem for this problem, but you can use it to check your result.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Transcribed Image Text:5. Evaluate the integral fF.dS where F = (2x,y,z) and S is the boundary of the solid cylinder x² + y² = 1 that
S
includes the disks z = 0 and z = 3.
Notes: This is the cylinder that includes the top and bottom disks.
You may NOT use the Divergence Theorem for this problem, but you can use it to check your result.
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