Ablock of copper of unknown mass has an initial temperature of 65.4 ∘c. the copper is immersed in a beaker containing 95.7 g of water at 22.7 ∘c. when the two substances reach thermal equilibrium, the final temperature is 24.2 ∘c. what is the mass of the copper block?

Two large, flat, horizontally oriented plates are parallel to each other, a distance d apart. half way betwween the two plates the electric field has magnitude e. if the separation of the plates is reduced to d/2 what is the magnitude of the electric field half way between the plates?

If element x has 99 protons how many electrons does it have

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