5. Let a, b > 0. Verify Stokes' Theorem f F· dĩ = [f, curl(F) - n dS for 2xz, i+xyj the vector field F(x, y, z) = a? 12 k, where the surface o is y?, the portion of the elliptical paraboloid given by z =1- and the boundary curve C is the corresponding ellipse cut out by the ry-plane. a2

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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How can I verify Stokes' Theorem in the problem?

5. Let a, b > 0. Verify Stokes' Theorem f F· dĩ = [f, curl(F) - n dS for
2xz,
i+xyj
the vector field F(x, y, z) =
a?
12 k, where the surface o is
y?,
the portion of the elliptical paraboloid given by z =1-
and the boundary curve C is the corresponding ellipse cut out by the
ry-plane.
a2
Transcribed Image Text:5. Let a, b > 0. Verify Stokes' Theorem f F· dĩ = [f, curl(F) - n dS for 2xz, i+xyj the vector field F(x, y, z) = a? 12 k, where the surface o is y?, the portion of the elliptical paraboloid given by z =1- and the boundary curve C is the corresponding ellipse cut out by the ry-plane. a2
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