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Verify Stokes' theorem for the given surface S and boundary S, and vector fields F. S = {(x, y, z): z = 1 - x² - y², z ≥ 0}, (oriented as a graph) as = {(x, y) : x² + y² = 1} JS F = las zi + xj + (6zx + 4xy)k (V x F) · ds = F. ds =

Verify Stokes' theorem for the given surface S and boundary S, and vector fields F. S = {(x, y, z): z = 1 - x² - y², z ≥ 0}, (oriented as a graph) as = {(x, y) : x² + y² = 1} JS F = las zi + xj + (6zx + 4xy)k (V x F) · ds = F. ds =

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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Verify Stokes' theorem for the given surface S and boundary S, and vector fields F. (oriented as a graph) S = {(x, y, z): z = 1 - x² - y², z ≥ 0}, {(x, y) x² + y² = 1} as : F = zi + xj + (6zx + 4xy)k 1/₂ (VxF). IS = (V x F) ds = F. ds = Jas
Transcribed Image Text:Verify Stokes' theorem for the given surface S and boundary S, and vector fields F. (oriented as a graph) S = {(x, y, z): z = 1 - x² - y², z ≥ 0}, {(x, y) x² + y² = 1} as : F = zi + xj + (6zx + 4xy)k 1/₂ (VxF). IS = (V x F) ds = F. ds = Jas
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