The temperature at a point (x,y,z) is given by T(x, y, z) = 200e**-y*/4=#"/9, where T is measured in degrees Celsius an 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 (-4, -4, -1). In which direction (unit vector) does the temperature increase the fastest at (-1, -1, -2)? What is the maximum rate of increase of T at (-1, -1, -2)?

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