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 =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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