Part 1: Air pressure decreases at a rate of 3 Pa (pascals) per kilometer in the eastward direction. In addition, the air pressure is increasing at a constant rate with respect to time everywhere. A ship sailing eastward at 14 km/hour past an island takes barometer readings and records a pressure drop of 40 Pa in 2 hours. Estimate the time rate of change of air pressure on the island. (pascal is a unit of air pressure 1Pa=1N/m2=1kg/m · s2)
Part 2: Given z = f(x,y), x = x(u,v), y = y(u,v), with x(4,4) = 5 and y(4,4) = 3, calculate zu(4,4) in terms of some of the values given in the table below.