3. You are standing in a (cold) room and the temperature at a point in the room is given by the equation T(r, y) = 0.0052² + 0.01y², where r and y are measured in inches from a central point in the room and T is measured in degrees Fahrenheit. You are standing at a point with coordinates (60, 40). The positive r-axis points due east and the positive y-axis points due north. (a) If you walk due west, will the temperature increase or decrease? (b) In which direction is the temperature change greatest? (c) What is the rate of temperature change in that direction?

3. You are standing in a (cold) room and the temperature at a point in the room is given by the equation T(r, y) = 0.0052² + 0.01y², where r and y are measured in inches from a central point in the room and T is measured in degrees Fahrenheit. You are standing at a point with coordinates (60, 40). The positive r-axis points due east and the positive y-axis points due north. (a) If you walk due west, will the temperature increase or decrease? (b) In which direction is the temperature change greatest? (c) What is the rate of temperature change in that direction?