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Use Stokes' theorem to evaluate the surface integral ff(V x F). dS F = yi-xj+exp(xz)k and S is the surface shown below in Figure 1 (with indicated orientation). where: n -x² + y² = 1 Figure 1: The surface S is the portion of a sphere sitting on top of the circle a² + y² = 1, z = 0. It does not include the disc a² + y² <1 in the zy plane.

Use Stokes' theorem to evaluate the surface integral ff(V x F). dS F = yi-xj+exp(xz)k and S is the surface shown below in Figure 1 (with indicated orientation). where: n -x² + y² = 1 Figure 1: The surface S is the portion of a sphere sitting on top of the circle a² + y² = 1, z = 0. It does not include the disc a² + y² <1 in the zy plane.

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 the surface integral (V × F) · dS F = yi-xj+exp(xz)k and S is the surface shown below in Figure 1 (with indicated orientation). where: -x² + y² =1 y Figure 1: The surface S is the portion of a sphere sitting on top of the circle a² + y² = 1, z = 0. It does not include the disc x² + y² < 1 in the zy plane. 20
Transcribed Image Text:Use Stokes' theorem to evaluate the surface integral (V × F) · dS F = yi-xj+exp(xz)k and S is the surface shown below in Figure 1 (with indicated orientation). where: -x² + y² =1 y Figure 1: The surface S is the portion of a sphere sitting on top of the circle a² + y² = 1, z = 0. It does not include the disc x² + y² < 1 in the zy plane. 20
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