Let F(x, y, z) = (xz — eª, 2xy + sin y, −yz + tan¯¹ z). Let S be the surface defined by R(u, v) = (u², uv, v²) with 0 ≤ v ≤ u and 0 ≤ u ≤ √√5. Find the flux of curl F across the positively-oriented surface S.
Let F(x, y, z) = (xz — eª, 2xy + sin y, −yz + tan¯¹ z). Let S be the surface defined by R(u, v) = (u², uv, v²) with 0 ≤ v ≤ u and 0 ≤ u ≤ √√5. Find the flux of curl F across the positively-oriented surface S.
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(x, y, z) = (xz — eª, 2xy + sin y, −yz + tan¯−¹ z). Let S be the surface defined by Ř(u, v) = (u², uv, v²)
with 0 ≤ v ≤ u and 0 ≤ u ≤ √5. Find the flux of curl F across the positively-oriented surface S.
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