Pls help. Ill give 10 pts each for the other 3 questions i asked. look at my account and the other three questions will increase in pts by 5.

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

Smallest intensity of a stimulus that you can detect 50 percent of the time is

2. circled insects have mutations, or changes to their dna. how many of the offspring insects in this generation have mutations?