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
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Chapter2: Second-order Linear Odes
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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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