Let h : R gt; R be a continuously differentiable function with MO) : 0, and consider the following system of equations: 693 + My) = U2, ey Mac) :...

5. Let h : R —> R be a continuously differentiable function with MO) : 0, and considerthe following system of equations: 693 + My) = U2,ey — Mac) : v2. Show that there exists a neighborhood V C R2 of (1,1) such that for each (aw) E Vthere is a solution (3:, y) E R2 to this system.