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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 -

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 -

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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