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3. (a) Discuss the solvability of the system u(z,y, z) =3zz + 2y v(x,y, 2) =zy2 w(z,y,z) = 52 + 2z2 1] for x, y,

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3. (a) Discuss the solvability of the system u(z,y, z) =3zz + 2y v(x,y, 2) =zy2 w(z,y,z) = 52 + 2z2 1] for x, y, z in terms of u, v, w near the point (x,y, z) = (2, 3,0), using the Inverse Function Theorem. (b) Repeat part (a), but with the point (z,y,2) = (1,1,1)

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