Let @= x dz Adx + (6 + x) dx Ady be a two-form on R....

  

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Let @= x³ dz Adx + (6 + x) dx Ady be a two-form on R³. Determine the one-form ★d(kw), where is the Hodge star operator in R³. ★d(*w) = dx + dz dy+ Let @= (sin(x) + 6 cos(y)) dy A dz + (z³ - y cos(x)) dz A dx + 10xyz dx A dy. Find do. do = dx Ady dz Let @= x³ dz Adx + (6 + x) dx Ady be a two-form on R³. Determine the one-form ★d(kw), where is the Hodge star operator in R³. ★d(*w) = dx + dz dy+ Let @= (sin(x) + 6 cos(y)) dy A dz + (z³ - y cos(x)) dz A dx + 10xyz dx A dy. Find do. do = dx Ady dz

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