Let a : D → R° be the parametric surface defined by D = {(u, v) E R² | u E [0, 1], v E [0, 1]} and a(u, v) = (u cos(v), u sin(v), v). (This is know as an "helicoid".) Let w = y dy A dz + 6z dx A dy be a two-form on R. Evaluate the surface integral of w along a. W =
Let a : D → R° be the parametric surface defined by D = {(u, v) E R² | u E [0, 1], v E [0, 1]} and a(u, v) = (u cos(v), u sin(v), v). (This is know as an "helicoid".) Let w = y dy A dz + 6z dx A dy be a two-form on R. Evaluate the surface integral of w along a. W =
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 a : D → R° be the parametric surface defined by D = {(u, v) E R² | u € [0, 1], v E [0, 7]} and
a(u, v) =
(u cos(v), u sin(v), v).
(This is know as an "helicoid".) Let w = y dy A dz + 6z dx A dy be a two-form on R'. Evaluate the surface integral of w along a.
W =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F001eda53-19f3-49af-8959-1aa5b0b6fb9b%2Fe81d7c69-fa72-4b5e-bb83-2d7dbc8edec4%2Fz2v5nem_processed.png&w=3840&q=75)
Transcribed Image Text:Let a : D → R° be the parametric surface defined by D = {(u, v) E R² | u € [0, 1], v E [0, 7]} and
a(u, v) =
(u cos(v), u sin(v), v).
(This is know as an "helicoid".) Let w = y dy A dz + 6z dx A dy be a two-form on R'. Evaluate the surface integral of w along a.
W =
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