Consider a two-form w = f(x +y) dæ ^ dy on R², where f : R → R is a smooth function. Let DC R² be the triangular region with vertices (0,0), (1,0), and (0, 1) and canonical orientation. (a) Consider the function : R² → R? with = u+: Find the region D2 C R² such that ø(D2) = D,i.e. the region D2 that is mapped by o to the triangular region D. (b) Using o from (a), show that

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