(1 point) The temperature at a point (x,y,z) is given by ?(?,?,?)=200?−?2−?2/4−?2/9, where ? is measured...

(1 point) The temperature at a point (x,y,z) is given by ?(?,?,?)=200?−?2−?2/4−?2/9, where ? 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, 1) in the direction toward the point (-1, -1, -1).

In which direction (unit vector) does the temperature increase the fastest at (1, 1, 1)?

What is the maximum rate of increase of ? at (1, 1, 1)?

Expert Solution

milcah answered 2 years ago

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