The pressure P (measured in Pascals) at a point P(x; y) = 50e????x2????

The pressure P (measured in Pascals) at a point P(x; y) = 50e????x2????2y2 and let q = (0; 1).

(a) Compute rP(x; y).

(b) Find the rate of cange of the pressure at q in the direction h1; 1i.

(c) What is the maximum rate of increase at q? Be sure to include units assuming

distance is in meters.

(d)Find all directions in which the pressure is not changing at q.