Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Please solve the screenshot (handwritten preferred) and explain your work, thanks!

Use Stokes' Theorem to evaluate
curl F· dS.
F(x, y, z) = x²z?i + y²z?j + xyzk,
S is the part of the paraboloid z = x2 + y2 that lies inside the cylinder x2 + y² = 4, oriented upward.
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Transcribed Image Text:Use Stokes' Theorem to evaluate curl F· dS. F(x, y, z) = x²z?i + y²z?j + xyzk, S is the part of the paraboloid z = x2 + y2 that lies inside the cylinder x2 + y² = 4, oriented upward.
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