Suppose that, at a specific point p, the directional derivatives of the function f (x, y ) are known in two nonparallel directions given by the unit vectors u and v. in particular, suppose that d f d s = a in the u direction and d f d s = b in the v direction. is it possible to find the gradient of f at the point p? if so, show how to do it. if not, explain why not.

Arigid tank is divided into two equal parts by a partition. one part of the tank contains 3 kg of compressed liquid water at 400 kpa and 60°c while the other part is evacuated. the partition is now removed, and the water expands to fill the entire tank. determine the entropy change of water during this process, if the final pressure in the tank is 40 kpa. use steam tables.