Verify the formula fr F.Tds = = [[ cc (curl F). n dS in Stoke's Theorem by evaluating the line integral and the surface integral. Assume that the surface has an upward orientation. F(x, y, z) = (3x − 9y)i + (3y – 9z)j + (3z - 9x)k Where is the portion of the plane x + y + z = 7 in the first octant. NOTE: Enter the exact answer. F. Tds [[(curl F).nds -

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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Verify the formula
fr
F.Tds =
= [[(curl F) · nds in Stoke's Theorem
by evaluating the line integral and the surface integral. Assume that
the surface has an upward orientation.
F(x, y, z) = (3x − 9y)i + (3y − 9z)j + (3z − 9x)k
-
Where is the portion of the plane x + y + z = 7 in the first octant.
NOTE: Enter the exact answer.
F.Tds
[[(curl F).nds
=
Transcribed Image Text:Verify the formula fr F.Tds = = [[(curl F) · nds in Stoke's Theorem by evaluating the line integral and the surface integral. Assume that the surface has an upward orientation. F(x, y, z) = (3x − 9y)i + (3y − 9z)j + (3z − 9x)k - Where is the portion of the plane x + y + z = 7 in the first octant. NOTE: Enter the exact answer. F.Tds [[(curl F).nds =
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