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Problem 2. (Chain Rule) Let F(x, Y, Z) Be An Unknown Smooth Function Of Three Variables, And X(u, V)

Problem 2. (Chain Rule) Let f(x, y, z) be an unknown smooth function of three variables, and x(u, v) = Vu+v, y(u, v) = u – v, z(u, v) = uv. Assume fx(1,1,0) = 10, fy(1,1,0) = 2, fz(1,1,0) = 3. 1) Is there enough information to compute 2) Is there enough information to compute and and when u=1, v=0? If no, explain why not and what extra information is needed, otherwise compute them. when u = 1,v=1? If no, explain why not and what extra information is needed, otherwise compute them.