Question: For the surface C R, provide an open set U C R? and a parametrization 7y : U R, such that v CY(U) and such

For the surface C R, provide an open set U C R? and a parametrization 7y : U R, such that v CY(U) and such that the Jacobian g;(y) has full rank for all points y U. Y. := {(x1, T2, 73) R3 such that (z,)? + (z2)%2 = 1, and z; # 0}
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