Max rate for change

2. Let T(x, y) = y vx - x2y represent the temperature, in Co, in a rectangular tile where x E [-It, 7] and y E [0,5] are measured in meters. a) (5pts) In which direction is the maximum rate of change of temperature T(x, y) at (3,4)? b) (1pt) Sketch the rectangular tile in a coordinate system and indicate the direction from part a). c) (4pts) Find the maximum rate of change of temperature at the point (3,4). Give units in your result. Enter any number into the answer box