Let T be a triangle with vertices (1,-2), (3,0), (-3,2), and f(x,y)=x^2(y-x+3) (a) Find the linear mapping from standard triangle S with vertices (0,0), (1,0), (0,1) to triangle T (b) Determine the inverse mapping from T to standard triangle S (c) Determine the quadratic polynomial p_2 (x,y) that interpolates f at the three vertices and three midpoints of the edges of T

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