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
icon
Related questions
Question
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 =
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 =
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,