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Let F = (y², x, z²)and S be the part of the paraboloid z = x² + y² with z < 1 and outward facing normal vector. Compute curlF · dŠ using Stokes' Theorem.

Let F = (y², x, z²)and S be the part of the paraboloid z = x² + y² with z < 1 and outward facing normal vector. Compute curlF · dŠ using Stokes' Theorem.

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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Let F = (y?, x, z²)and S be the part of the paraboloid z = outward facing normal vector. Compute x? + y? with z < 1 and // curlF · dš using Stokes' Theorem. 2. Let F = (y², x, z²) and S be the part of the paraboloid z = x? + y? with z <1 and outward facing normal vector. Compute curlF · dš directly. (without using Stokes' Theorem). Hint: -T
Transcribed Image Text:Let F = (y?, x, z²)and S be the part of the paraboloid z = outward facing normal vector. Compute x? + y? with z < 1 and // curlF · dš using Stokes' Theorem. 2. Let F = (y², x, z²) and S be the part of the paraboloid z = x? + y? with z <1 and outward facing normal vector. Compute curlF · dš directly. (without using Stokes' Theorem). Hint: -T
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