9) Use Stokes' Theorem to evaluate || curl (F)· dS where F(x, y, z) = (x sin z)i+(x)j+(xy)k and S is the piece of the paraboloid z = 4-x – y? that lies above the xy-plane, oriented upward.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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9) Use Stokes' Theorem to evaluate || curl (F)· dS where
F(x, y, z) = (x' sin z)i+(x)j+(xy)k and S is the piece of the paraboloid
z = 4-x – y? that lies above the xy-plane, oriented upward.
Transcribed Image Text:9) Use Stokes' Theorem to evaluate || curl (F)· dS where F(x, y, z) = (x' sin z)i+(x)j+(xy)k and S is the piece of the paraboloid z = 4-x – y? that lies above the xy-plane, oriented upward.
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