Problem 3. (1 point) The temperature at a point (x,y,z) is given by T(x, y, z) = 2:10;?"2 'YMZNhere 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 (4, 1, -2). 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)