Statt a) & Uniform wire of density 7800 kg / m3 weight. 16kg and IS 250 cm long It lenghtness by 1.2mm when the force of 80n is applice, Cleckte & the stress ​

Suppose that f : rn → rm and that a ∈ k, where k is a connected subset of rn . suppose further that for each x ∈ k there exists a δx > 0 such that f(x) = f(y) for all y ∈ bδx (x). prove that f is constant on k; that is, f(x) = f(a) for all x ∈ k