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Let Find o*w. w = e e6(x+²) dy ^ dz + e¯ª dz^ dx + e¹(x−²) dx / dy be a two-form on R³, and 6: (R>0)² → R³ be the smooth function Your last answer was interpreted as follows: (u, v) = (ln(uv), In(u + v), In(uv)). ø*w = (e^6*u*v*(u-v)+v-u)/(u*v*(u+v)) eu.v. (u-v) + v- u u⋅v. (u + v) du λ dv

Let Find o*w. w = e e6(x+²) dy ^ dz + e¯ª dz^ dx + e¹(x−²) dx / dy be a two-form on R³, and 6: (R>0)² → R³ be the smooth function Your last answer was interpreted as follows: (u, v) = (ln(uv), In(u + v), In(uv)). ø*w = (e^6*u*v*(u-v)+v-u)/(u*v*(u+v)) eu.v. (u-v) + v- u u⋅v. (u + v) du λ dv

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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Let w = e6(x+2) dy ^ dz + e-Y dz ^ dx + e4(#-2) dx ^ dy be a two-form on R3, and o : (R-0)² → R³ be the smooth function $(u, v) = (In(uv), In(u + v), In(uv)). Find o*w. O*w = |(e^6*u*v*(u-v)+V-u)/(u*v*(u+v)) du A dv Your last answer was interpreted as follows: еб . и: у: (и — v) + U — и u· v· (u + v)
Transcribed Image Text:Let w = e6(x+2) dy ^ dz + e-Y dz ^ dx + e4(#-2) dx ^ dy be a two-form on R3, and o : (R-0)² → R³ be the smooth function $(u, v) = (In(uv), In(u + v), In(uv)). Find o*w. O*w = |(e^6*u*v*(u-v)+V-u)/(u*v*(u+v)) du A dv Your last answer was interpreted as follows: еб . и: у: (и — v) + U — и u· v· (u + v)
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