A Metal Plate Is Heated So That Its Temperature at a Point

question 36

Essay

A metal plate is heated so that its temperature at a point is .
A bug is placed at the point .
A) The bug heads toward the point . What is the rate of change of temperature in this direction?
B) In what direction should the bug head in order to warm up at the fastest rate? Find the rate of change of temperature in this direction.
C) In what direction should the bug head in order to cool off at the fastest rate? Find the rate of change of temperature in this direction.

• A) The bug heads toward the point . What is the rate of change of temperature in this direction?
• B) In what direction should the bug head in order to warm up at the fastest rate? Find the rate of change of temperature in this direction.
• C) In what direction should the bug head in order to cool off at the fastest rate? Find the rate of change of temperature in this direction.

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