PLEASSEEE HELP :( BRAINLIEST POINTS FOR THE BEST ANSWER!

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

Using proper grammar, spelling, and punctuation, write at least one 5 sentence paragraph describing 3 ways we use the elements of the electromagnetic spectrum (ems) in our everyday lives.

Aviolently rotating column of air is formed around a region of extremely low air pressure above land. which of these weather conditions is most likely to follow? blizzard cyclone tornado hurricane