The temperature at on a metal plate is
.
A) A heat seeking insect is placed at the point . In what direction should it move in order to feel the greatest increase in heat? What is the rate of change of temperature in this direction?
B) The insect is placed at the point and is very hot. In what direction should it move in order to cool off at the fastest rate?
What is the rate of change of temperature in this direction?
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