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Use Stokes' Theorem to evaluate curl F· dS. F(x, y, z) = x2z2i + y2z²j + xyzk, S is the part of the paraboloid z = x2 + y2 that lies inside the cylinder x2 + y² = 4, oriented upward.

Use Stokes' Theorem to evaluate curl F· dS. F(x, y, z) = x2z2i + y2z²j + xyzk, S is the part of the paraboloid z = x2 + y2 that lies inside the cylinder x2 + y² = 4, oriented upward.

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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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.
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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