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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...

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. A. Find the rate of change of the temperature at the point (0, -1, 2) in the direction toward the point (-1, 4, 2). b)In which direction (unit vector) does the temperature increase the fastest at (0, -1, 2)? What is the maximum rate of increase of T at (0, -1, 2)? P.S please show all work if possible because I'm a slow learner.

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