The temperature at a point (x, y, z) is given by T(x, y, z) = 100e−x2 − 5y2 − 9z2 where T is measured in °C and x, y, z in meters. (a) Find the rate of change of temperature at the point P(4, −1, 2) in the direction towards the point (6, −4, 3). 17200e−57 √61 Incorrect: Your answer is incorrect. °C/m (b) In which direction does the temperature increase fastest at P? −400e−57,1000e−57,−3600e−57 Incorrect: Your answer is incorrect.