The temperature at a point (x,y,z) is given by T(x,y,z)=200e^(−x2−y2/4−z2/9), where T is measured in degrees Celsius and x,y, and z in meters. There are lots of places to make silly errors in this problem; just try to keep track of what needs to be a unit vector.
Find the rate of change of the temperature at the point (-1, 1, -2) in the direction toward the point (-3, -5, -4).
In which direction (unit vector) does the temperature increase the fastest at (-1, 1, -2)?
〈〈 , , 〉〉
What is the maximum rate of increase of TT at (-1, 1, -2