Evaluate the surface integral curl curl(F)-dS, where F(x, y, z) = (²+y-4, 3ry, 2rz +22) and S is the upper hemisphere x² + y² + ² = 16, 20 with positive (outward) orientation.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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4. Evaluate the surface integral
curl(F)- ds.
where F(x, y, z) = (²+y-4, 3ry, 2x2 +22) and S is the upper hemisphere x² + y² + 2² = 16, z 20
with positive (outward) orientation.
Transcribed Image Text:4. Evaluate the surface integral curl(F)- ds. where F(x, y, z) = (²+y-4, 3ry, 2x2 +22) and S is the upper hemisphere x² + y² + 2² = 16, z 20 with positive (outward) orientation.
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