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Verify the formula o F T ds = || (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, 2) = (5x – y)i+ (5y – 2)j + (5z – x)k %3D - - Where o is the portion of the plane r+y+ z = 3 in the first octant. NOTE: Enter the exact answer. F.T ds = (curl F) · n dS =

Verify the formula o F T ds = || (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, 2) = (5x – y)i+ (5y – 2)j + (5z – x)k %3D - - Where o is the portion of the plane r+y+ z = 3 in the first octant. NOTE: Enter the exact answer. F.T ds = (curl F) · n dS =

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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F T ds Jc / Verify the formula (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) = (5x – y)i+ (5y – 2)j + (5z – x)k - | Where o is the portion of the plane x +y + z = 3 in the first octant. NOTE: Enter the exact answer. F.T ds = // curl F) - n dS =
Transcribed Image Text:F T ds Jc / Verify the formula (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) = (5x – y)i+ (5y – 2)j + (5z – x)k - | Where o is the portion of the plane x +y + z = 3 in the first octant. NOTE: Enter the exact answer. F.T ds = // curl F) - n dS =
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